Journal articles on the topic 'Complex Monge Ampere'
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Semmes, Stephen. "Complex Monge-Ampere and Symplectic Manifolds." American Journal of Mathematics 114, no. 3 (June 1992): 495. http://dx.doi.org/10.2307/2374768.
Full textDo, Hoang son. "Weak solution of Parabolic complex Monge-Ampere equation." Indiana University Mathematics Journal 66, no. 6 (2017): 1949–79. http://dx.doi.org/10.1512/iumj.2017.66.6186.
Full textChen, Xiuxiong, and Gang Tian. "Partial regularity for homogeneous complex Monge–Ampere equations." Comptes Rendus Mathematique 340, no. 5 (March 2005): 337–40. http://dx.doi.org/10.1016/j.crma.2004.11.024.
Full textMoriyón, Roberto. "The degenerate complex monge-ampere equation on thin annuli." Communications in Partial Differential Equations 11, no. 11 (January 1986): 1205–42. http://dx.doi.org/10.1080/03605308608820461.
Full textPhong, D. H., and Jacob Sturm. "The Dirichlet problem for degenerate complex Monge–Ampere equations." Communications in Analysis and Geometry 18, no. 1 (2010): 145–70. http://dx.doi.org/10.4310/cag.2010.v18.n1.a6.
Full textKolodziej, Slawomir. "The range of the complex Monge-Ampere operator II." Indiana University Mathematics Journal 44, no. 3 (1995): 0. http://dx.doi.org/10.1512/iumj.1995.44.2007.
Full textBlocki, Zbigniew. "The domain of definition of the complex Monge-Ampere operator." American Journal of Mathematics 128, no. 2 (2006): 519–30. http://dx.doi.org/10.1353/ajm.2006.0010.
Full textDinew, Slawomir, Xi Zhang, and XiangWen Zhang. "The $\mathcal C^{2,\alpha}$ estimate of complex Monge-Ampere equation." Indiana University Mathematics Journal 60, no. 5 (2011): 1713–22. http://dx.doi.org/10.1512/iumj.2011.60.4444.
Full textKoeodziej, Slawomir. "Regularity of the Entire Solutions to the Complex Monge-Ampere Equation." Communications in Analysis and Geometry 12, no. 5 (2004): 1173–84. http://dx.doi.org/10.4310/cag.2004.v12.n5.a9.
Full textÅhag, Per, Urban Cegrell, and Rafal Czyz. "On Dirichlet's principle and problem." MATHEMATICA SCANDINAVICA 110, no. 2 (June 1, 2012): 235. http://dx.doi.org/10.7146/math.scand.a-15206.
Full textXing, Yang. "The complex Monge-Ampere equations with a countable number of singular points." Indiana University Mathematics Journal 48, no. 2 (1999): 0. http://dx.doi.org/10.1512/iumj.1999.48.1663.
Full textChen, Xiuxiong, and Yuanqi Wang. "On the regularity problem of complex Monge–Ampere equations with conical singularities." Annales de l’institut Fourier 67, no. 3 (2017): 969–1003. http://dx.doi.org/10.5802/aif.3102.
Full textBlocki, Zbigniew. "Uniqueness and stability for the complex Monge-Ampere equation on compact Kahler manifolds." Indiana University Mathematics Journal 52, no. 6 (2003): 1697–702. http://dx.doi.org/10.1512/iumj.2003.52.2346.
Full textMonn, David. "Regularity of the complex monge-ampere equation for radially symmetric functions of the unit ball." Mathematische Annalen 275, no. 3 (September 1986): 501–11. http://dx.doi.org/10.1007/bf01458619.
Full textKruglikov, B. S. "Some classification problems in four-dimensional geometry: distributions, almost complex structures, and generalized Monge-Ampere equations." Sbornik: Mathematics 189, no. 11 (December 31, 1998): 1643–56. http://dx.doi.org/10.1070/sm1998v189n11abeh000370.
Full textPhong, D. H., Jian Song, and Jacob Sturm. "Complex Monge-Ampère equations." Surveys in Differential Geometry 17, no. 1 (2012): 327–410. http://dx.doi.org/10.4310/sdg.2012.v17.n1.a8.
Full textCzyż, Rafał. "The complex Monge–Ampère operator." Dissertationes Mathematicae 466 (2009): 1–83. http://dx.doi.org/10.4064/dm466-0-1.
Full textKołodziej, Sławomir. "The complex Monge-Ampère equation." Acta Mathematica 180, no. 1 (1998): 69–117. http://dx.doi.org/10.1007/bf02392879.
Full textHou, Zuoliang, and Qi Li. "Energy Functionals and Complex Monge–Ampère Equations." Journal of the Institute of Mathematics of Jussieu 9, no. 3 (February 10, 2010): 463–76. http://dx.doi.org/10.1017/s1474748009000206.
Full textBedford, Eric, and Sione Ma`u. "Complex Monge-Ampère of a maximum." Proceedings of the American Mathematical Society 136, no. 01 (January 1, 2008): 95–102. http://dx.doi.org/10.1090/s0002-9939-07-09145-9.
Full textBanos, Bertrand. "Complex solutions of Monge–Ampère equations." Journal of Geometry and Physics 61, no. 11 (November 2011): 2187–98. http://dx.doi.org/10.1016/j.geomphys.2011.06.019.
Full textFu, Xin, Bin Guo, and Jian Song. "Geometric estimates for complex Monge–Ampère equations." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 765 (August 1, 2020): 69–99. http://dx.doi.org/10.1515/crelle-2019-0020.
Full textGUEDJ, Vincent, Chinh H. LU, and Ahmed ZERIAHI. "Weak subsolutions to complex Monge–Ampère equations." Journal of the Mathematical Society of Japan 71, no. 3 (July 2019): 727–38. http://dx.doi.org/10.2969/jmsj/79677967.
Full textXing, Yang. "A decomposition of complex Monge–Ampère measures." Annales Polonici Mathematici 92, no. 2 (2007): 191–95. http://dx.doi.org/10.4064/ap92-2-7.
Full textSpiliotis, J. "A Complex Parabolic Type MongeAmpère Equation." Applied Mathematics and Optimization 35, no. 3 (May 1, 1997): 265–82. http://dx.doi.org/10.1007/s002459900048.
Full textTô, Tat Dat. "Regularizing properties of complex Monge–Ampère flows." Journal of Functional Analysis 272, no. 5 (March 2017): 2058–91. http://dx.doi.org/10.1016/j.jfa.2016.10.017.
Full textXing, Yang. "Continuity of the complex Monge-Ampère operator." Proceedings of the American Mathematical Society 124, no. 2 (1996): 457–67. http://dx.doi.org/10.1090/s0002-9939-96-03316-3.
Full textSpiliotis, J. "A complex parabolic type monge-ampère equation." Applied Mathematics & Optimization 35, no. 3 (May 1997): 265–82. http://dx.doi.org/10.1007/bf02683331.
Full textWei, Wang. "Complex Monge-Ampère equations on general domains." Applied Mathematics-A Journal of Chinese Universities 16, no. 3 (September 2001): 268–78. http://dx.doi.org/10.1007/s11766-001-0065-4.
Full textXing, Yang. "Complex Monge-Ampère Measures of Plurisubharmonic Functions with Bounded Values Near the Boundary." Canadian Journal of Mathematics 52, no. 5 (October 1, 2000): 1085–100. http://dx.doi.org/10.4153/cjm-2000-045-x.
Full textHai, Le Mau, Tang Van Long, and Trieu Van Dung. "Equations of complex Monge–Ampère type for arbitrary measures and applications." International Journal of Mathematics 27, no. 04 (April 2016): 1650035. http://dx.doi.org/10.1142/s0129167x1650035x.
Full textEinstein-Matthews, Stanley M. "Symplectic structures and symmetries of solutions of the complex Monge-Ampére equation." Nagoya Mathematical Journal 150 (June 1998): 63–83. http://dx.doi.org/10.1017/s0027763000025058.
Full textCelik, Halil, and Evgeny Poletsky. "Fundamental solutions of the complex Monge-Ampère equation." Annales Polonici Mathematici 67, no. 2 (1997): 103–10. http://dx.doi.org/10.4064/ap-67-2-103-110.
Full textWiklund, Jonas. "Matrix inequalities and the complex Monge–Ampère operator." Annales Polonici Mathematici 83, no. 3 (2004): 211–20. http://dx.doi.org/10.4064/ap83-3-3.
Full textLi, Chao, Jiayu Li, and Xi Zhang. "AC2,αestimate of the complex Monge–Ampère equation." Journal of Functional Analysis 275, no. 1 (July 2018): 149–69. http://dx.doi.org/10.1016/j.jfa.2018.01.020.
Full textBerman, Robert J., Sébastien Boucksom, Vincent Guedj, and Ahmed Zeriahi. "A variational approach to complex Monge-Ampère equations." Publications mathématiques de l'IHÉS 117, no. 1 (November 14, 2012): 179–245. http://dx.doi.org/10.1007/s10240-012-0046-6.
Full textGuan, Bo, and Qun Li. "Complex Monge–Ampère equations and totally real submanifolds." Advances in Mathematics 225, no. 3 (October 2010): 1185–223. http://dx.doi.org/10.1016/j.aim.2010.03.019.
Full textHai, Le Mau, and Pham Hoang Hiep. "An equality on the complex Monge–Ampère measures." Journal of Mathematical Analysis and Applications 444, no. 1 (December 2016): 503–11. http://dx.doi.org/10.1016/j.jmaa.2016.06.023.
Full textGuedj, Vincent, Chinh H. Lu, and Ahmed Zeriahi. "Stability of solutions to complex Monge–Ampère flows." Annales de l'Institut Fourier 68, no. 7 (2018): 2819–36. http://dx.doi.org/10.5802/aif.3227.
Full textKołodziej, Sławomir. "The complex Monge-Ampère equation and pluripotential theory." Memoirs of the American Mathematical Society 178, no. 840 (2005): 0. http://dx.doi.org/10.1090/memo/0840.
Full textDo, Hoang-Son, Thai Duong Do, and Hoang Hiep Pham. "Complex Monge-Ampère Equation in Strictly Pseudoconvex Domains." Acta Mathematica Vietnamica 45, no. 1 (February 19, 2019): 93–101. http://dx.doi.org/10.1007/s40306-018-00313-2.
Full textPliś, Szymon. "The Monge–Ampère equation on almost complex manifolds." Mathematische Zeitschrift 276, no. 3-4 (October 18, 2013): 969–83. http://dx.doi.org/10.1007/s00209-013-1229-7.
Full textEyssidieux, Philippe, Vincent Guedj, and Ahmed Zeriahi. "Viscosity solutions to degenerate complex monge-ampère equations." Communications on Pure and Applied Mathematics 64, no. 8 (March 14, 2011): 1059–94. http://dx.doi.org/10.1002/cpa.20364.
Full textEyssidieux, Philippe, Vincent Guedj, and Ahmed Zeriahi. "Corrigendum: Viscosity Solutions to Complex Monge-Ampère Equations." Communications on Pure and Applied Mathematics 70, no. 5 (March 17, 2017): 815–21. http://dx.doi.org/10.1002/cpa.21692.
Full textBenelkourchi, Slimane. "Weighted Pluricomplex Energy II." International Journal of Partial Differential Equations 2015 (February 10, 2015): 1–8. http://dx.doi.org/10.1155/2015/947819.
Full textCzyż, Rafał. "The complex Monge–Ampère equation for complex homogeneous functions in Cn." Annales Polonici Mathematici 76, no. 3 (2001): 287–302. http://dx.doi.org/10.4064/ap76-3-7.
Full textCegrell, Urban, and Leif Persson. "An energy estimate for the complex Monge-Ampère operator." Annales Polonici Mathematici 67, no. 1 (1997): 95–102. http://dx.doi.org/10.4064/ap-67-1-95-102.
Full textKołodziej, Sławomir. "Weak solutions of equations of complex Monge-Ampère type." Annales Polonici Mathematici 73, no. 1 (2000): 59–67. http://dx.doi.org/10.4064/ap-73-1-59-67.
Full textCharabati, Mohamad. "Hölder regularity for solutions to complex Monge–Ampère equations." Annales Polonici Mathematici 113, no. 2 (2015): 109–27. http://dx.doi.org/10.4064/ap113-2-1.
Full textÅhag, Per, and Rafał Czyż. "On the complex Monge-Ampère operator in unbounded domains." Acta Mathematica 54 (2017): 7–13. http://dx.doi.org/10.4467/20843828am.17.001.7077.
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