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Journal articles on the topic 'Higher integrability'

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Author: Grafiati

Published: 9 March 2023

Last updated: 11 March 2023

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1

Franciosi, Michelangelo, and Gioconda Moscariello. "Higher integrability results." Manuscripta Mathematica 52, no. 1-3 (February 1985): 151–70. http://dx.doi.org/10.1007/bf01171490.

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2

Tempesta, Piergiulio, and Giorgio Tondo. "Higher Haantjes Brackets and Integrability." Communications in Mathematical Physics 389, no. 3 (November 2, 2021): 1647–71. http://dx.doi.org/10.1007/s00220-021-04233-5.

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AbstractWe propose a new, infinite class of brackets generalizing the Frölicher–Nijenhuis bracket. This class can be reduced to a family of generalized Nijenhuis torsions recently introduced. In particular, the Haantjes bracket, the first example of our construction, is relevant in the characterization of Haantjes moduli of operators. We also prove that the vanishing of a higher-level Nijenhuis torsion of an operator field is a sufficient condition for the integrability of its eigen-distributions. This result (which does not require any knowledge of the spectral properties of the operator) generalizes the celebrated Haantjes theorem. The same vanishing condition also guarantees that the operator can be written, in a local chart, in a block-diagonal form.

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3

Demessie, G. A., and C. Sämann. "Higher Poincaré lemma and integrability." Journal of Mathematical Physics 56, no. 8 (August 2015): 082902. http://dx.doi.org/10.1063/1.4929537.

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4

Khesin, Boris, and Fedor Soloviev. "Integrability of higher pentagram maps." Mathematische Annalen 357, no. 3 (March 29, 2013): 1005–47. http://dx.doi.org/10.1007/s00208-013-0922-5.

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5

Hanson, Bruce, and Pekka Koskela. "Higher integrability and the boundary dimension." Annales Academiae Scientiarum Fennicae Series A I Mathematica 16 (1991): 323–31. http://dx.doi.org/10.5186/aasfm.1991.1611.

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6

Franciosi, Michelangelo. "Weighted rearrangements and higher integrability results." Studia Mathematica 92, no. 2 (1989): 131–39. http://dx.doi.org/10.4064/sm-92-2-131-139.

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7

Batrachenko, A., James T. Liu, Oscar Varela, and W. Y. Wen. "Higher order integrability in generalized holonomy." Nuclear Physics B 760, no. 1-2 (January 2007): 89–103. http://dx.doi.org/10.1016/j.nuclphysb.2006.10.017.

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8

Scheven, Christoph, and Thomas Schmidt. "Asymptotically regular problems I: Higher integrability." Journal of Differential Equations 248, no. 4 (February 2010): 745–91. http://dx.doi.org/10.1016/j.jde.2009.11.021.

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9

Franciosi, Michelangelo. "Higher integrability results and Hölder continuity." Journal of Mathematical Analysis and Applications 150, no. 1 (July 1990): 161–65. http://dx.doi.org/10.1016/0022-247x(90)90204-s.

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10

Dolzmann, Georg, and Jan Kristensen. "Higher integrability of minimizing Young measures." Calculus of Variations and Partial Differential Equations 22, no. 3 (March 2005): 283–301. http://dx.doi.org/10.1007/s00526-004-0273-x.

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11

Beisert, Niklas. "Higher-loop integrability in gauge theory." Comptes Rendus Physique 5, no. 9-10 (November 2004): 1039–48. http://dx.doi.org/10.1016/j.crhy.2004.09.011.

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12

Gao, Hongya, Yanjie Zhang, and Shuangli Li. "Integrability for Solutions of Anisotropic Obstacle Problems." International Journal of Mathematics and Mathematical Sciences 2012 (2012): 1–6. http://dx.doi.org/10.1155/2012/549285.

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This paper deals with anisotropic obstacle problem for the𝒜-harmonic equation∑i=1nDi(ai(x,Du(x)))=0. An integrability result is given under suitable assumptions, which show higher integrability of the boundary datum, and the obstacle force solutionsuhave higher integrability as well.

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13

Carozza, Menita, Gioconda Moscariello, and Antonia Passarelli. "Higher integrability for minimizers of anisotropic functionals." Discrete & Continuous Dynamical Systems - B 11, no. 1 (2009): 43–55. http://dx.doi.org/10.3934/dcdsb.2009.11.43.

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14

Yamashita, Hiroyuki. "Light-Like Integrability in Higher Dimensional Theories." Progress of Theoretical Physics Supplement 110 (1992): 365–73. http://dx.doi.org/10.1143/ptps.110.365.

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15

Capone, Claudia, Luigi Greco, and Tadeusz Iwaniec. "Higher integrability via Riesz transforms and interpolation." Nonlinear Analysis: Theory, Methods & Applications 49, no. 4 (May 2002): 513–23. http://dx.doi.org/10.1016/s0362-546x(01)00119-5.

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16

Bögelein, Verena, Frank Duzaar, Juha Kinnunen, and Christoph Scheven. "Higher integrability for doubly nonlinear parabolic systems." Journal de Mathématiques Pures et Appliquées 143 (November 2020): 31–72. http://dx.doi.org/10.1016/j.matpur.2020.06.009.

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17

Saker, S. H., and I. Kubiaczyk. "Reverse dynamic inequalities and higher integrability theorems." Journal of Mathematical Analysis and Applications 471, no. 1-2 (March 2019): 671–86. http://dx.doi.org/10.1016/j.jmaa.2018.10.098.

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18

Saker, S. H., M. A. Darwish, and H. A. Elshamy. "Conformable Gehring inequalities and conformable higher integrability." Journal of Mathematics and Computer Science 29, no. 02 (October 20, 2022): 192–202. http://dx.doi.org/10.22436/jmcs.029.02.08.

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19

Bögelein, Verena, Frank Duzaar, Riikka Korte, and Christoph Scheven. "The higher integrability of weak solutions of porous medium systems." Advances in Nonlinear Analysis 8, no. 1 (June 6, 2018): 1004–34. http://dx.doi.org/10.1515/anona-2017-0270.

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20

Nastasi, Antonella, and Cintia Pacchiano Camacho. "Higher integrability and stability of (p,q)-quasiminimizers." Journal of Differential Equations 342 (January 2023): 121–49. http://dx.doi.org/10.1016/j.jde.2022.09.031.

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21

Hästö, Peter, and Jihoon Ok. "Higher integrability for parabolic systems with Orlicz growth." Journal of Differential Equations 300 (November 2021): 925–48. http://dx.doi.org/10.1016/j.jde.2021.08.012.

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22

Beisert, Niklas. "Higher loops, integrability and the near BMN limit." Journal of High Energy Physics 2003, no. 09 (September 26, 2003): 062. http://dx.doi.org/10.1088/1126-6708/2003/09/062.

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23

Bögelein, Verena, Frank Duzaar, and Christoph Scheven. "Higher integrability for the singular porous medium system." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 767 (October 1, 2020): 203–30. http://dx.doi.org/10.1515/crelle-2019-0038.

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AbstractIn this paper we establish in the fast diffusion range the higher integrability of the spatial gradient of weak solutions to porous medium systems. The result comes along with an explicit reverse Hölder inequality for the gradient. The novel feature in the proof is a suitable intrinsic scaling for space-time cylinders combined with reverse Hölder inequalities and a Vitali covering argument within this geometry. The main result holds for the natural range of parameters suggested by other regularity results. Our result applies to general fast diffusion systems and includes both, non-negative and signed solutions in the case of equations. The methods of proof are purely vectorial in their structure.

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24

Ding, Shusen, Guannan Shi, and Yuming Xing. "Higher integrability of iterated operators on differential forms." Nonlinear Analysis: Theory, Methods & Applications 145 (November 2016): 83–96. http://dx.doi.org/10.1016/j.na.2016.07.012.

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25

Hogan, Jeff, Chun Li, Alan McIntosh, and Kewei Zhang. "Global higher integrability of Jacobians on bounded domains." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 17, no. 2 (March 2000): 193–217. http://dx.doi.org/10.1016/s0294-1449(00)00108-6.

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26

Susaki, Yoshiaki, Yastoshi Takayama, and Kentaroh Yoshida. "Integrability and higher loops in AdS/dCFT correspondence." Physics Letters B 624, no. 1-2 (September 2005): 115–24. http://dx.doi.org/10.1016/j.physletb.2005.07.058.

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27

Xing, Yuming, and Shusen Ding. "Higher integrability of Green's operator and homotopy operator." Journal of Mathematical Analysis and Applications 446, no. 1 (February 2017): 648–62. http://dx.doi.org/10.1016/j.jmaa.2016.09.007.

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28

Shi, Peter, and Steve Wright. "Higher integrability of the gradient in linear elasticity." Mathematische Annalen 299, no. 1 (May 1994): 435–48. http://dx.doi.org/10.1007/bf01459793.

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29

Radice, T. "A higher integrability result for nondivergence elliptic equations." Annali di Matematica Pura ed Applicata 187, no. 1 (January 25, 2007): 93–103. http://dx.doi.org/10.1007/s10231-006-0035-9.

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30

Gu, Jian Tao, Hong Liu, and Yu Xia Tong. "Higher Integrability for Weak Solutions to Obstacle Problems with Differential Forms." Advanced Materials Research 457-458 (January 2012): 214–17. http://dx.doi.org/10.4028/www.scientific.net/amr.457-458.214.

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31

Fujishima, Yohei, and Jens Habermann. "Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces." Advances in Calculus of Variations 10, no. 3 (July 1, 2017): 267–301. http://dx.doi.org/10.1515/acv-2015-0038.

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AbstractWe prove up-to-the-boundary higher integrability estimates for parabolic quasi-minimizers on a domain \Omega_{T}= Ω \times (0,T), where Ω denotes an open domain in a doubling metric measure space which supports a Poincaré inequality. The higher integrability for upper gradients is shown globally and under optimal conditions on the boundary \partialΩ of the domain as well as on the boundary data itself. This is a starting point for a further discussion on parabolic quasi-minima on metric measure spaces, such as for example regularity or stability issues.

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32

Tong, Yuxia, Shenzhou Zheng, and Jiantao Gu. "Higher Integrability for Very Weak Solutions of InhomogeneousA-Harmonic Form Equations." Journal of Applied Mathematics 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/308751.

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33

Nania, Luciana. "On some reverse integral inequalities." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 49, no. 2 (October 1990): 319–26. http://dx.doi.org/10.1017/s1446788700030597.

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34

Allami, M. "On Integrability of Christouâ€™s Sixth Order Solitary Wave Equations." Iraqi Journal of Science 60, no. 5 (May 26, 2019): 1172–79. http://dx.doi.org/10.24996/ijs.2019.60.5.25.

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We examine the integrability in terms of PainlevÃ¨ analysis for several models of higher order nonlinear solitary wave equations which were recently derived by Christou. Our results point out that these equations do not possess PainlevÃ¨ property and fail the PainlevÃ¨ test for some special values of the coefficients; and that indicates a non-integrability criteria of the equations by means of the PainlevÃ¨ integrability.

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35

Saker, Samir, Mario Krnic, and Josip Pecaric. "Higher summability theorems from the weighted reverse discrete inequalities." Applicable Analysis and Discrete Mathematics 13, no. 2 (2019): 423–39. http://dx.doi.org/10.2298/aadm180727013s.

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Motivated by higher integrability theorems due to Muckenhoupt and Gehring, in this paper we establish some related higher summability results for non- increasing sequences, verifying the weighted reverse discrete inequalities. Our main result will be proved by employing the weighted Hardy-type inequality designed and proved for this purpose.

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36

Piontek, Sebastian, and Thomas Schmidt. "Higher integrability for the gradient of Mumford-Shah almost-minimizers." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 6. http://dx.doi.org/10.1051/cocv/2019063.

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We extend a recent higher-integrability result for the gradient of minimizers of the Mumford-Shah functional to a suitable class of almost-minimizers. The extension crucially depends on an L∞ gradient estimate up to regular portions of the discontinuity set of an almost-minimizer.

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37

Saker, Samir, Donal O'Regan, and Ravi Agarwal. "A higher integrability theorem from a reverse weighted inequality." Bulletin of the London Mathematical Society 51, no. 6 (October 17, 2019): 967–77. http://dx.doi.org/10.1112/blms.12288.

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38

Adler, V. E. "Integrability test for evolutionary lattice equations of higher order." Journal of Symbolic Computation 74 (May 2016): 125–39. http://dx.doi.org/10.1016/j.jsc.2015.05.008.

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39

Zhang, Xia, and Yongqiang Fu. "Higher integrability for nonlinear elliptic equations with variable growth." Nonlinear Analysis: Theory, Methods & Applications 93 (December 2013): 132–46. http://dx.doi.org/10.1016/j.na.2013.07.024.

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40

Jiang, Yun-Guo, Jia-Zhen Liu, and Song He. "Near integrability of kink lattice with higher order interactions." Chinese Physics C 41, no. 11 (October 24, 2017): 113107. http://dx.doi.org/10.1088/1674-1137/41/11/113107.

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41

Parviainen, Mikko. "Global higher integrability for parabolic quasiminimizers in nonsmooth domains." Calculus of Variations and Partial Differential Equations 31, no. 1 (May 11, 2007): 75–98. http://dx.doi.org/10.1007/s00526-007-0106-9.

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42

Kinnunen, Juha, and John L. Lewis. "Higher integrability for parabolic systems of p -Laplacian type." Duke Mathematical Journal 102, no. 2 (April 2000): 253–71. http://dx.doi.org/10.1215/s0012-7094-00-10223-2.

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43

De Philippis, Guido, and Alessio Figalli. "Higher Integrability for Minimizers of the Mumford–Shah Functional." Archive for Rational Mechanics and Analysis 213, no. 2 (March 27, 2014): 491–502. http://dx.doi.org/10.1007/s00205-014-0729-x.

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44

Masson, Mathias, Michele Miranda, Fabio Paronetto, and Mikko Parviainen. "Local higher integrability for parabolic quasiminimizers in metric spaces." Ricerche di Matematica 62, no. 2 (April 2, 2013): 279–305. http://dx.doi.org/10.1007/s11587-013-0150-z.

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45

Dreyfuss, Pierre. "Higher Integrability of the Gradient in Degenerate Elliptic Equations." Potential Analysis 26, no. 2 (October 12, 2006): 101–19. http://dx.doi.org/10.1007/s11118-006-9030-4.

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46

Angelsberg, Gilles, and David Pumberger. "A regularity result for polyharmonic maps with higher integrability." Annals of Global Analysis and Geometry 35, no. 1 (August 30, 2008): 63–81. http://dx.doi.org/10.1007/s10455-008-9122-z.

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47

Marinakis, V. "Higher-Order Equations of the KdV Type are Integrable." Advances in Mathematical Physics 2010 (2010): 1–5. http://dx.doi.org/10.1155/2010/329586.

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We show that a nonlinear equation that represents third-order approximation of long wavelength, small amplitude waves of inviscid and incompressible fluids is integrable for a particular choice of its parameters, since in this case it is equivalent with an integrable equation which has recently appeared in the literature. We also discuss the integrability of both second- and third-order approximations of additional cases.

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48

GÜRSES, METIN, and ATALAY KARASU. "INTEGRABLE SIGMA MODELS." International Journal of Modern Physics A 06, no. 03 (January 30, 1991): 487–500. http://dx.doi.org/10.1142/s0217751x91000307.

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Integrability of sigma models is investigated in arbitrary dimensions. The conditions of the integrability are found and the corresponding linear eigenvalue equations are given. Some new classes of classically integrable sigma models are found in two and higher dimensions containing all the known models. One-soliton Bäcklund transformations of these integrable models are also found.

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49

Moring, Kristian, Christoph Scheven, Sebastian Schwarzacher, and Thomas Singer. "Global higher integrability of weak solutions of porous medium systems." Communications on Pure & Applied Analysis 19, no. 3 (2020): 1697–745. http://dx.doi.org/10.3934/cpaa.2020069.

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50

Gajda, Zbigniew. "Difference properties of higher orders for continuity and Riemann integrability." Colloquium Mathematicum 53, no. 2 (1987): 275–88. http://dx.doi.org/10.4064/cm-53-2-275-288.

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