Existence results for a Dirichlet boundary value problem through a local minimization principle

被引：0

作者：

Hadjian, Armin ^{[1
]}

Nieto, Juan J. ^{[2
]}

机构：

[1] Univ Bojnord, Fac Basic Sci, Dept Math, POB 1339, Bojnord 94531, Iran

[2] Univ Santiago De Compostela, Inst Math, Dept Math Anal, Santiago De Compostela 15782, Spain

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2023年 / 52卷 / 01期

关键词：

Dirichlet boundary value problem; variational methods; existence results; MULTIPLE SOLUTIONS;

D O I：

10.15672/hujms.988476

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a local minimum result for differentiable functionals is exploited in order to prove that a perturbed Dirichlet boundary value problem including a Lipschitz continu-ous non-linear term admits at least one non-trivial weak solution under an asymptotical behaviour of the nonlinear datum at zero. Some special cases and a concrete example of an application is then presented.

引用

页码：126 / 135

页数：10

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