EXISTENCE AND MULTIPLICITY RESULTS FOR THE PRESCRIBED MEAN CURVATURE EQUATION VIA LOWER AND UPPER SOLUTIONS

被引：0

作者：

Obersnel, Franco ^{[1
]}

Omari, Pierpaolo ^{[1
]}

机构：

[1] Univ Trieste, Dipartimento Matemat & Informat, I-34127 Trieste, Italy

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2009年 / 22卷 / 9-10期

关键词：

POSITIVE SOLUTIONS; BARRIER METHOD; LINEAR GROWTH; FUNCTIONALS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss existence and multiplicity of bounded variation solutions of the mixed problem for the prescribed mean curvature equation -div (del u/root 1 +|del u|(2)) = f (x, u) in Omega, u = 0 on Gamma(D), partial derivative u/partial derivative v = 0 on Gamma(N), where Gamma(D) is an open subset of partial derivative Omega and Gamma(N) = partial derivative Omega\Gamma(D). Our approach is based on variational techniques and a lower and upper solutions method specially developed for this problem.

引用

页码：853 / 880

页数：28

共 50 条

[21] Existence and nonexistence of solutions for the mean curvature equation with weights
Filippucci, Roberta
Zheng, Yadong
MATHEMATISCHE ANNALEN, 2024, 390 (04) : 5821 - 5861
[22] Positive solutions of the Dirichlet problem for the prescribed mean curvature equation
Obersnel, Franco
Omari, Pierpaolo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (07) : 1674 - 1725
[23] Radial solutions for a prescribed mean curvature equation with exponential nonlinearity
Pan, Hongjing
Xing, Ruixiang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (01) : 103 - 116
[24] Ground state solutions for the Henon prescribed mean curvature equation
Azzollini, Antonio
ADVANCES IN NONLINEAR ANALYSIS, 2019, 8 (01) : 1227 - 1234
[25] Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays
Lu, Shiping
Lu, Ming
JOURNAL OF APPLIED MATHEMATICS, 2014,
[26] Existence of periodic solutions for a prescribed mean curvature Lienard p-Laplacian equation with two delays
Li, Zhiyan
An, Tianqing
Ge, Weigao
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[27] Multiplicity of Solutions for Some Classes of Prescribed Mean Curvature Equations with Local Conditions
Ledesma, Cesar E. Torres
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (04)
[28] Multiplicity of Solutions for Some Classes of Prescribed Mean Curvature Equations with Local Conditions
César E. Torres Ledesma
Mediterranean Journal of Mathematics, 2023, 20
[29] Existence and multiplicity results for a fourth order mean field equation
Ben Ayed, Mohamed
Ahmedou, Mohameden Ould
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (09) : 3165 - 3194
[30] EXISTENCE AND MULTIPLICITY RESULTS FOR SECOND-ORDER DISCONTINUOUS PROBLEMS VIA NON-ORDERED LOWER AND UPPER SOLUTIONS
Figueroa, Ruben
Lopez Pouso, Rodrigo
Rodriguez-Lopez, Jorge
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (02): : 617 - 633

← 1 2 3 4 5 →