Relevant bibliographies by topics / Nonlinear Liouville Theorems

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Nonlinear Liouville Theorems'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Nonlinear Liouville Theorems"

1

Caristi, G., L. D’Ambrosio, and E. Mitidieri. "Liouville theorems for some nonlinear inequalities." Proceedings of the Steklov Institute of Mathematics 260, no. 1 (April 2008): 90–111. http://dx.doi.org/10.1134/s0081543808010070.

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2

Branding, Volker. "Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems." Communications in Mathematical Physics 372, no. 3 (November 13, 2019): 733–67. http://dx.doi.org/10.1007/s00220-019-03608-z.

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Abstract We study the qualitative behavior of nonlinear Dirac equations arising in quantum field theory on complete Riemannian manifolds. In particular, we derive monotonicity formulas and Liouville theorems for solutions of these equations. Finally, we extend our analysis to Dirac-harmonic maps with curvature term.
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3

Berestycki, Henri, I. Capuzzo Dolcetta, and Louis Nirenberg. "Superlinear indefinite elliptic problems and nonlinear Liouville theorems." Topological Methods in Nonlinear Analysis 4, no. 1 (September 1, 1994): 59. http://dx.doi.org/10.12775/tmna.1994.023.

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D'Ambrosio, Lorenzo, and Sandra Lucente. "Nonlinear Liouville theorems for Grushin and Tricomi operators." Journal of Differential Equations 193, no. 2 (September 2003): 511–41. http://dx.doi.org/10.1016/s0022-0396(03)00138-4.

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5

Phan, Quoc Hung. "Liouville-type theorems for nonlinear degenerate parabolic equation." Journal of Evolution Equations 16, no. 3 (January 7, 2016): 519–37. http://dx.doi.org/10.1007/s00028-015-0311-5.

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6

Chen, Wenxiong, and Leyun Wu. "Liouville Theorems for Fractional Parabolic Equations." Advanced Nonlinear Studies 21, no. 4 (October 14, 2021): 939–58. http://dx.doi.org/10.1515/ans-2021-2148.

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Abstract In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouville theorems, such as narrow region principles and maximum principles for antisymmetric functions in unbounded domains, in which we remarkably weaken the usual decay condition u → 0 u\to 0 at infinity to a polynomial growth on 𝑢 by constructing proper auxiliary functions. Then we derive monotonicity for the solutions in a half space R + n × R \mathbb{R}_{+}^{n}\times\mathbb{R} and obtain some new connections between the nonexistence of solutions in a half space R + n × R \mathbb{R}_{+}^{n}\times\mathbb{R} and in the whole space R n - 1 × R \mathbb{R}^{n-1}\times\mathbb{R} and therefore prove the corresponding Liouville type theorems. To overcome the difficulty caused by the nonlocality of the fractional Laplacian, we introduce several new ideas which will become useful tools in investigating qualitative properties of solutions for a variety of nonlocal parabolic problems.
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Chen, Q., J. Jost, and G. Wang. "Liouville theorems for Dirac-harmonic maps." Journal of Mathematical Physics 48, no. 11 (November 2007): 113517. http://dx.doi.org/10.1063/1.2809266.

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8

García-Melián, Jorge, Alexander Quaas, and Boyan Sirakov. "Liouville theorems for nonlinear elliptic equations in half-spaces." Journal d'Analyse Mathématique 139, no. 2 (October 2019): 559–83. http://dx.doi.org/10.1007/s11854-019-0066-y.

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9

Burgos-Pérez, M. Á., and J. García-Melián. "Liouville theorems for elliptic systems with nonlinear gradient terms." Journal of Differential Equations 265, no. 12 (December 2018): 6316–51. http://dx.doi.org/10.1016/j.jde.2018.07.034.

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10

Dung, Nguyen Thac, Pham Duc Thoan, and Nguyen Dang Tuyen. "Liouville theorems for nonlinear elliptic equations on Riemannian manifolds." Journal of Mathematical Analysis and Applications 496, no. 1 (April 2021): 124803. http://dx.doi.org/10.1016/j.jmaa.2020.124803.

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Dissertations / Theses on the topic "Nonlinear Liouville Theorems"

1

SOAVE, NICOLA. "Variational and geometric methods for nonlinear differential equations." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2014. http://hdl.handle.net/10281/49889.

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This thesis is devoted to the study of several problems arising in the field of nonlinear analysis. The work is divided in two parts: the first one concerns existence of oscillating solutions, in a suitable sense, for some nonlinear ODEs and PDEs, while the second one regards the study of qualitative properties, such as monotonicity and symmetry, for solutions to some elliptic problems in unbounded domains. Although the topics faced in this work can appear far away one from the other, the techniques employed in different chapters share several common features. In the firts part, the variational structure of the considered problems plays an essential role, and in particular we obtain existence of oscillating solutions by means of non-standard versions of the Nehari's method and of the Seifert's broken geodesics argument. In the second part, classical tools of geometric analysis, such as the moving planes method and the application of Liouville-type theorems, are used to prove 1-dimensional symmetry of solutions in different situations.
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Chen, Huyuan. "Fully linear elliptic equations and semilinear fractionnal elliptic equations." Thesis, Tours, 2014. http://www.theses.fr/2014TOUR4001/document.

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Cette thèse est divisée en six parties. La première partie est consacrée à l'étude de propriétés de Hadamard et à l'obtention de théorèmes de Liouville pour des solutions de viscosité d'équations aux dérivées partielles elliptiques complètement non-linéaires avec des termes de gradient,
This thesis is divided into six parts. The first part is devoted to prove Hadamard properties and Liouville type theorems for viscosity solutions of fully nonlinear elliptic partial differential equations with gradient term
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Books on the topic "Nonlinear Liouville Theorems"

1

Horii, Zene. Nonlinear Lattice Statistical Mechanics: The Liouville-Horii Theorem. BookSurge Publishing, 2007.

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Horii, Zene. Nonlinear Lattice Statistical Mechanics: The Liouville-Horii Theorem. BookSurge Publishing, 2007.

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Book chapters on the topic "Nonlinear Liouville Theorems"

1

Souplet, Philippe. "Liouville-Type Theorems for Nonlinear Elliptic and Parabolic Problems." In 2018 MATRIX Annals, 303–25. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38230-8_21.

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2

Gelfand, Izrail Moiseevich. "Integrable nonlinear equations and the Liouville theorem." In Collected Papers, 697–706. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61705-8_36.

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3

Li, YanYan, Luc Nguyen, and Bo Wang. "Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry." In Geometric Analysis, 221–44. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34953-0_11.

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4

Birindelli, Isabeau. "Nonlinear Liouville Theorems." In Reaction Diffusion Systems, 37–50. CRC Press, 2020. http://dx.doi.org/10.1201/9781003072195-4.

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Conference papers on the topic "Nonlinear Liouville Theorems"

1

BREZIS, H., M. CHIPOT, and Y. XIE. "SOME REMARKS ON LIOUVILLE TYPE THEOREMS." In Proceedings of the International Conference on Nonlinear Analysis. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812709257_0003.

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Journal articles
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