Multiple solutions for a nonlinear Dirichlet problem driven by degenerate p-Laplacian

被引：3

作者：

Bonanno, G. ^{[1
]}

Sciammetta, A. ^{[2
]}

Tornatore, E. ^{[2
]}

机构：

[1] Univ Messina, Dept Engn, I-98166 Messina, Italy

[2] Univ Palermo, Dept Math & Comp Sci, I-90123 Palermo, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 528卷 / 01期

关键词：

Nonlinear problem; Multiple solutions; Critical point; EXISTENCE; THEOREM;

D O I：

10.1016/j.jmaa.2023.127527

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper develops a variational approach for a parametric quasilinear elliptic equation driven by degenerate p-Laplacian. Note that the use of variational methods allows to obtain multiple solutions. In particular, here, the existence of at least three solutions is established under an appropriate growth condition of the nonlinear term.& COPY; 2023 Elsevier Inc. All rights reserved.

引用

页数：12

共 17 条

[1]

[Anonymous], 1985, Weighted Sobolev Spaces

[2]

[Anonymous], 1983, Analyse Fonctionnelle: Theorie et Applications

[3] Triple solutions for nonlinear elliptic problems driven by a non-homogeneous operator [J].