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.
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页数：26
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