Existence results for parametric boundary value problems involving the mean curvature operator

被引：14

作者：

Bonanno, Gabriele ^{[1
]}

Livrea, Roberto ^{[2
]}

Mawhin, Jean ^{[3
]}

机构：

[1] Univ Messina, Dept Civil Comp Construct Environm Engn & Appl Ma, I-98166 Messina, Italy

[2] Univ Reggio Calabria, Dept MECMAT, I-89100 Reggio Di Calabria, Italy

[3] Catholic Univ Louvain, IRMP, B-1348 Louvain La Neuve, Belgium

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2015年 / 22卷 / 03期

关键词：

NONTRIVIAL SOLUTIONS; PHI-LAPLACIAN;

D O I：

10.1007/s00030-014-0289-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we propose a variational approach to a parametric differential problem where a prescribed mean curvature equation is considered. In particular, without asymptotic assumptions at zero and at infinity on the potential, we obtain an explicit positive interval of parameters for which the problem under examination has at least one nontrivial and nonnegative solution.

引用

页码：411 / 426

页数：16

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