Works matching DE "MONGE-Ampere equations"

Results: 307

Plurisubharmonic Functions on Affine Line Bundles over Compact Kähler Manifolds: Dedicated to Takeo Ohsawa on his seventieth birthday.

Published in:

Publications of the Research Institute for Mathematical Sciences, 2025, v. 61, n. 1, p. 139, doi. 10.4171/PRIMS/61-1-3

By:

Takayuki KOIKE;
Tetsuo UEDA

Publication type:

Article

A C<sup>0</sup> linear finite element method for a second‐order elliptic equation in non‐divergence form with Cordes coefficients.

Published in:

Numerical Methods for Partial Differential Equations, 2023, v. 39, n. 3, p. 2244, doi. 10.1002/num.22965

By:

Xu, Minqiang;
Lin, Runchang;
Zou, Qingsong

Publication type:

Article

Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions.

Published in:

Numerical Methods for Partial Differential Equations, 2014, v. 30, n. 5, p. 1538, doi. 10.1002/num.21856

By:

Feng, Xiaobing;
Lewis, Thomas

Publication type:

Article

An iterative meshfree method for the elliptic monge-ampère equation in 2D.

Published in:

Numerical Methods for Partial Differential Equations, 2014, v. 30, n. 5, p. 1507, doi. 10.1002/num.21849

By:

Liu, Zhiyong;
He, Yinnian

Publication type:

Article

The Monge-Ampère equation in cones and polygonal domains.

Published in:

Calculus of Variations & Partial Differential Equations, 2025, v. 64, n. 4, p. 1, doi. 10.1007/s00526-025-02978-8

By:

Huang, Genggeng;
Shen, Weiming

Publication type:

Article

Sharp uniform bound for the quaternionic Monge-Ampère equation on hyperhermitian manifolds.

Published in:

Calculus of Variations & Partial Differential Equations, 2024, v. 63, n. 4, p. 1, doi. 10.1007/s00526-024-02694-9

By:

Sroka, Marcin

Publication type:

Article

Interior W2,p estimate for small perturbations to the complex Monge–AmpÈre equation.

Published in:

Calculus of Variations & Partial Differential Equations, 2023, v. 62, n. 8, p. 1, doi. 10.1007/s00526-023-02571-x

By:

Cheng, Jingrui;
Xu, Yulun

Publication type:

Article

Fully non-linear elliptic equations on compact almost Hermitian manifolds.

Published in:

Calculus of Variations & Partial Differential Equations, 2023, v. 62, n. 3, p. 1, doi. 10.1007/s00526-023-02445-2

By:

Chu, Jianchun;
Huang, Liding;
Zhang, Jiaogen

Publication type:

Article

Stability estimates for the complex Monge-Ampère and Hessian equations.

Published in:

Calculus of Variations & Partial Differential Equations, 2023, v. 62, n. 1, p. 1, doi. 10.1007/s00526-022-02344-y

By:

Guo, Bin;
Phong, Duong H.;
Tong, Freid

Publication type:

Article

Hypersurfaces of constant Gauss–Kronecker curvature with Li-normalization in affine space.

Published in:

Calculus of Variations & Partial Differential Equations, 2023, v. 62, n. 1, p. 1, doi. 10.1007/s00526-022-02329-x

By:

Nie, Xin;
Seppi, Andrea

Publication type:

Article

The Dirichlet problem for the Monge–Ampère equation on Hermitian manifolds with boundary.

Published in:

Calculus of Variations & Partial Differential Equations, 2023, v. 62, n. 1, p. 1, doi. 10.1007/s00526-022-02336-y

By:

Kołodziej, Sławomir;
Nguyen, Ngoc Cuong

Publication type:

Article

Blow-up solutions to the Monge–Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates.

Published in:

Calculus of Variations & Partial Differential Equations, 2022, v. 61, n. 6, p. 1, doi. 10.1007/s00526-022-02315-3

By:

Zhang, Xuemei;
Feng, Meiqiang

Publication type:

Article

Dimension reduction through gamma convergence for general prestrained thin elastic sheets.

Published in:

Calculus of Variations & Partial Differential Equations, 2022, v. 61, n. 5, p. 1, doi. 10.1007/s00526-022-02262-z

By:

Padilla-Garza, David

Publication type:

Article

A damped Newton algorithm for generated Jacobian equations.

Published in:

Calculus of Variations & Partial Differential Equations, 2022, v. 61, n. 2, p. 1, doi. 10.1007/s00526-021-02147-7

By:

Gallouët, Anatole;
Mérigot, Quentin;
Thibert, Boris

Publication type:

Article

The Green's function for equations with conic metrics.

Published in:

Calculus of Variations & Partial Differential Equations, 2021, v. 60, n. 6, p. 1, doi. 10.1007/s00526-021-02103-5

By:

Huang, Liding;
Zhou, Bin

Publication type:

Article

On the Dirichlet problem for a class of fully nonlinear elliptic equations.

Published in:

Calculus of Variations & Partial Differential Equations, 2021, v. 60, n. 5, p. 1, doi. 10.1007/s00526-021-02012-7

By:

Yuan, Rirong

Publication type:

Article

Continuous solutions to Monge–Ampère equations on Hermitian manifolds for measures dominated by capacity.

Published in:

Calculus of Variations & Partial Differential Equations, 2021, v. 60, n. 3, p. 1, doi. 10.1007/s00526-021-01944-4

By:

Kołodziej, Sławomir;
Nguyen, Ngoc Cuong

Publication type:

Article

Existence of entire solutions of Monge–Ampère equations with prescribed asymptotic behavior.

Published in:

Calculus of Variations & Partial Differential Equations, 2019, v. 58, n. 6, p. N.PAG, doi. 10.1007/s00526-019-1639-4

By:

Bao, Jiguang;
Xiong, Jingang;
Zhou, Ziwei

Publication type:

Article

Uniqueness of least energy solutions for Monge–Ampère functional.

Published in:

Calculus of Variations & Partial Differential Equations, 2019, v. 58, n. 2, p. N.PAG, doi. 10.1007/s00526-019-1504-5

By:

Huang, Genggeng

Publication type:

Article

Expansion formula for complex Monge–Ampère equation along cone singularities.

Published in:

Calculus of Variations & Partial Differential Equations, 2019, v. 58, n. 2, p. N.PAG, doi. 10.1007/s00526-019-1498-z

By:

Yin, Hao;
Zheng, Kai

Publication type:

Article

An extension of Jörgens-Calabi-Pogorelov theorem to parabolic Monge-Ampère equation.

Published in:

Calculus of Variations & Partial Differential Equations, 2018, v. 57, n. 3, p. 1, doi. 10.1007/s00526-018-1363-5

By:

Zhang, Wei;
Bao, Jiguang;
Wang, Bo

Publication type:

Article

The conical complex Monge-Ampère equations on Kähler manifolds.

Published in:

Calculus of Variations & Partial Differential Equations, 2018, v. 57, n. 2, p. 1, doi. 10.1007/s00526-018-1318-x

By:

Liu, Jiawei;
Zhang, Chuanjing

Publication type:

Article

The C2,α-estimate for conical Kähler-Ricci flow.

Published in:

Calculus of Variations & Partial Differential Equations, 2018, v. 57, n. 2, p. 1, doi. 10.1007/s00526-018-1308-z

By:

Shen, Liangming

Publication type:

Article

Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation.

Published in:

Calculus of Variations & Partial Differential Equations, 2018, v. 57, n. 2, p. 1, doi. 10.1007/s00526-018-1312-3

By:

Zhang, Xuemei;
Du, Yihong

Publication type:

Article

Harnack inequality for the fractional nonlocal linearized Monge-Ampère equation.

Published in:

Calculus of Variations & Partial Differential Equations, 2017, v. 56, n. 4, p. 1, doi. 10.1007/s00526-017-1205-x

By:

Maldonado, Diego;
Stinga, Pablo

Publication type:

Article

Hölder regularity of the solution to the complex Monge-Ampère equation with $$L^p$$ density.

Published in:

Calculus of Variations & Partial Differential Equations, 2016, v. 55, n. 4, p. 1, doi. 10.1007/s00526-016-1008-5

By:

Baracco, Luca;
Khanh, Tran;
Pinton, Stefano;
Zampieri, Giuseppe

Publication type:

Article

Parabolic complex Monge-Ampère type equations on closed Hermitian manifolds.

Published in:

Calculus of Variations & Partial Differential Equations, 2015, v. 54, n. 4, p. 3715, doi. 10.1007/s00526-015-0919-x

By:

Sun, Wei

Publication type:

Article

The Monge-Ampère equation with Guillemin boundary conditions.

Published in:

Calculus of Variations & Partial Differential Equations, 2015, v. 54, n. 1, p. 951, doi. 10.1007/s00526-014-0812-z

By:

Rubin, Daniel

Publication type:

Article

On a class of fully nonlinear elliptic equations on Hermitian manifolds.

Published in:

Calculus of Variations & Partial Differential Equations, 2015, v. 54, n. 1, p. 901, doi. 10.1007/s00526-014-0810-1

By:

Guan, Bo;
Sun, Wei

Publication type:

Article

Monge-Ampère equation on exterior domains.

Published in:

Calculus of Variations & Partial Differential Equations, 2015, v. 52, n. 1/2, p. 39, doi. 10.1007/s00526-013-0704-7

By:

Bao, Jiguang;
Li, Haigang;
Zhang, Lei

Publication type:

Article

On the $$W^{2,1+\varepsilon }$$ -estimates for the Monge-Ampère equation and related real analysis.

Published in:

Calculus of Variations & Partial Differential Equations, 2014, v. 50, n. 1/2, p. 93, doi. 10.1007/s00526-013-0629-1

By:

Maldonado, Diego

Publication type:

Article

On the Dirichlet problem for Monge-Ampère type equations.

Published in:

Calculus of Variations & Partial Differential Equations, 2014, v. 49, n. 3/4, p. 1223, doi. 10.1007/s00526-013-0619-3

By:

Jiang, Feida;
Trudinger, Neil;
Yang, Xiao-Ping

Publication type:

Article

Regularity of the Monge-Ampère equation in Besov's spaces.

Published in:

Calculus of Variations & Partial Differential Equations, 2014, v. 49, n. 3/4, p. 1187, doi. 10.1007/s00526-013-0617-5

By:

Kolesnikov, Alexander;
Tikhonov, Sergey

Publication type:

Article

Smooth solutions to a class of mixed type Monge-Ampère equations.

Published in:

Calculus of Variations & Partial Differential Equations, 2013, v. 47, n. 3/4, p. 825, doi. 10.1007/s00526-012-0547-7

By:

Han, Qing;
Khuri, Marcus

Publication type:

Article

Light reflection is nonlinear optimization.

Published in:

Calculus of Variations & Partial Differential Equations, 2013, v. 46, n. 3/4, p. 861, doi. 10.1007/s00526-012-0506-3

By:

Liu, Jiakun

Publication type:

Article

On the entire self-shrinking solutions to Lagrangian mean curvature flow.

Published in:

Calculus of Variations & Partial Differential Equations, 2011, v. 41, n. 3/4, p. 321, doi. 10.1007/s00526-010-0364-9

By:

Huang, Rongli;
Wang, Zhizhang

Publication type:

Article

On the Monge–Ampère equation with boundary blow-up: existence, uniqueness and asymptotics.

Published in:

Calculus of Variations & Partial Differential Equations, 2008, v. 31, n. 2, p. 167, doi. 10.1007/s00526-007-0108-7

By:

Cîrstea, Florica;
Trombetti, Cristina

Publication type:

Article

On the regularity of the polar factorization for time dependent maps.

Published in:

Calculus of Variations & Partial Differential Equations, 2005, v. 22, n. 3, p. 343, doi. 10.1007/s00526-004-0280-y

By:

Loeper, G.

Publication type:

Article

The obstacle problem for Monge Ampere equation.

Published in:

Calculus of Variations & Partial Differential Equations, 2005, v. 22, n. 3, p. 303, doi. 10.1007/s00526-004-0275-8

By:

Savin, Ovidiu

Publication type:

Article

On the design of a reflector antenna II.

Published in:

Calculus of Variations & Partial Differential Equations, 2004, v. 20, n. 3, p. 329, doi. 10.1007/s00526-003-0239-4

By:

Xu-jia Wang

Publication type:

Article

Locally Monge-Ampère parabolic foliations.

Published in:

Advances in Geometry, 2015, v. 15, n. 4, p. 433, doi. 10.1515/advgeom-2015-0029

By:

Kalka, Morris;
Patrizio, Giorgio

Publication type:

Article

Sobolev regularity for the infinite-dimensional Monge-Ampère equation.

Published in:

Doklady Mathematics, 2012, v. 85, n. 3, p. 331, doi. 10.1134/S1064562412030088

By:

Bogachev, V.;
Kolesnikov, A.

Publication type:

Article

Bernstein theorems for nonlinear geometric PDEs.

Published in:

Communications on Pure & Applied Analysis, 2024, v. 23, n. 12, p. 1, doi. 10.3934/cpaa.2024072

By:

Mooney, Connor

Publication type:

Article

Remarks on sharp boundary estimates for singular and degenerate Monge-Ampère equations.

Published in:

Communications on Pure & Applied Analysis, 2023, v. 22, n. 5, p. 1, doi. 10.3934/cpaa.2023043

By:

Le, Nam Q.

Publication type:

Article

Asymptotic expansion of 2-dimensional gradient graph with vanishing mean curvature at infinity.

Published in:

Communications on Pure & Applied Analysis, 2022, v. 21, n. 9, p. 2911, doi. 10.3934/cpaa.2022081

By:

Liu, Zixiao;
Bao, Jiguang

Publication type:

Article

A convergent finite difference method for computing minimal Lagrangian graphs.

Published in:

Communications on Pure & Applied Analysis, 2022, v. 21, n. 2, p. 393, doi. 10.3934/cpaa.2021182

By:

Hamfeldt, Brittany Froese;
Lesniewski, Jacob

Publication type:

Article

The degenerate Monge-Ampère equations with the Neumann condition.

Published in:

Communications on Pure & Applied Analysis, 2021, v. 20, n. 2, p. 915, doi. 10.3934/cpaa.2020297

By:

Shi, Juhua;
Jiang, Feida

Publication type:

Article

Global regularity for a class of Monge-Ampère type equations with nonzero boundary conditions.

Published in:

Communications on Pure & Applied Analysis, 2021, v. 20, n. 1, p. 301, doi. 10.3934/cpaa.2020267

By:

Li, Mengni

Publication type:

Article

Existence and uniqueness of viscosity solutions to the exterior problem of a parabolic Monge-Ampère equation.

Published in:

Communications on Pure & Applied Analysis, 2020, v. 19, n. 10, p. 4921, doi. 10.3934/cpaa.2020218

By:

Gong, Shuyu;
Zhou, Ziwei;
Bao, Jiguang

Publication type:

Article

Optimal global asymptotic behavior of the solution to a singular monge-ampère equation.

Published in:

Communications on Pure & Applied Analysis, 2020, v. 19, n. 2, p. 1129, doi. 10.3934/cpaa.2020053

By:

Zhang, Zhijun

Publication type:

Article