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

[41] Periodic solutions for prescribed mean curvature Rayleigh equation with a deviating argument
Li, Jin
Luo, Jianlin
Cai, Yun
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[42] Periodic solutions for prescribed mean curvature Rayleigh equation with a deviating argument
Jin Li
Jianlin Luo
Yun Cai
Advances in Difference Equations, 2013
[43] A REGULARITY RESULT FOR SOLUTIONS TO THE EQUATION OF SURFACES OF PRESCRIBED MEAN-CURVATURE
BETHUEL, F
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 314 (13): : 1003 - 1007
[44] Periodic solutions for prescribed mean curvature Lienard equation with a deviating argument
Feng, Meiqiang
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (03) : 1216 - 1223
[45] On some estimate for solutions of Dirichlet problem of prescribed mean curvature equation
Nakatani, M
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (03) : 1671 - 1679
[46] Homoclinic Solutions for a Class of Prescribed Mean Curvature Equation with a Deviating Argument
Shiping LU
Zaitao LIANG
Journal of Mathematical Research with Applications, 2014, 34 (04) : 481 - 491
[47] Positive solutions of the prescribed mean curvature equation with exponential critical growth
Giovany M. Figueiredo
Vicenţiu D. Rădulescu
Annali di Matematica Pura ed Applicata (1923 -), 2021, 200 : 2213 - 2233
[48] Existence and multiplicity of solutions for the Schrödinger-Poisson equation with prescribed mass
Peng, Xueqin
ANALYSIS AND MATHEMATICAL PHYSICS, 2024, 14 (05)
[49] Existence and Multiplicity Results for the Prescribed Webster Scalar Curvature Problem on Three CR Manifolds
Chtioui, Hichem
Ahmedou, Mohameden Ould
Yacoub, Ridha
JOURNAL OF GEOMETRIC ANALYSIS, 2013, 23 (02) : 878 - 894
[50] EXISTENCE OF SURFACES WITH PRESCRIBED MEAN CURVATURE AND BOUNDARY
STEFFEN, K
MATHEMATISCHE ZEITSCHRIFT, 1976, 146 (02) : 113 - 135

← 1 2 3 4 5 →