Nontrivial Solutions for Potential Systems Involving the Mean Curvature Operator in Minkowski Space

被引：9

作者：

Gurban, Daniela ^{[1
]}

Jebelean, Petru ^{[1
]}

Serban, Calin ^{[1
]}

机构：

[1] West Univ Timisoara, Dept Math, 4 Blvd Parvan, Timisoara 300223, Romania

来源：

ADVANCED NONLINEAR STUDIES | 2017年 / 17卷 / 04期

关键词：

Minkowski Operator; Potential System; Multiple Nontrivial Solutions; Critical Point; Mountain Pass Theorem; Schauder's Fixed Point Theorem; POSITIVE RADIAL SOLUTIONS; DIRICHLET PROBLEM; EXISTENCE; HYPERSURFACES; EQUATION; SURFACES;

D O I：

10.1515/ans-2016-6025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the critical point theory for convex, lower semicontinuous perturbations of C-1-functionals to obtain the existence of multiple nontrivial solutions for one parameter potential systems involving the operator u bar right arrow div (del u/root 1-vertical bar del u vertical bar(2)).The solvability of a general non-potential system is also established.

引用

页码：769 / 780

页数：12

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