A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters

被引：0

作者：

Hadjian, Armin ^{[1
]}

Nieto, Juan J. ^{[2
]}

机构：

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

[2] Univ Santiago de Compostela, Dept Estat Anal Matemat & Optimizac, CITMAga, Santiago De Compostela 15782, Spain

来源：

BOUNDARY VALUE PROBLEMS | 2022年 / 2022卷 / 01期

关键词：

Mixed problem; Critical points; Weak solutions; Infinitely many solutions; PRINCIPLE;

D O I：

10.1186/s13661-022-01677-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By exploiting an abstract critical-point result for differentiable and parametric functionals, we show the existence of infinitely many weak solutions for nonlinear elliptic equations with nonhomogeneous boundary conditions. More accurately, we determine some intervals of parameters such that the treated problem admits either an unbounded sequence of solutions or a pairwise distinct sequence of solutions that strongly converges to zero. No symmetric condition on the nonlinear term is considered.

引用

页数：14

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