Multiplicity of Solution for Some Classes of Prescribed Mean Curvature Equation with Dirichlet Boundary Condition

被引：5

作者：

Alves, Claudianor O. ^{[1
]}

Torres Ledesma, Cesar E. ^{[2
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429970 Campina Grande, Paraiba, Brazil

[2] Univ Nacl Trujillo, Fac Ciencias Fis & Matemat, Inst Invest Matemat, Av Juan Pablo II S-N, Trujillo, Peru

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2022年 / 32卷 / 11期

关键词：

Variational methods; Mean curvature operator; Minimal surface; POSITIVE SOLUTIONS; LOCAL MINIMIZERS; GROUND-STATES; EXISTENCE; CONCAVE;

D O I：

10.1007/s12220-022-01010-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the existence of infinite many solutions for a class of prescribed mean curvature equation of the type {-div (del u/root 1+vertical bar del u vertical bar(2)) = f(u), in Omega, u = 0, on partial derivative Omega, where Omega subset of R-N (N >= 1) is a smooth bounded domain, by assuming different conditions on the nonlinearity f.

引用

页数：26

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