Existence of Solutions for a p-Laplacian System with a Nonresonance Condition Between the First and the Second Eigenvalues

被引：1

作者：

Dob, Sara ^{[1
]}

Lekhal, Hakim ^{[1
]}

Maouni, Messaoud ^{[1
]}

机构：

[1] Univ 20 August 1955 Skikda, Dept Math, Lab Appl Math & Hist & Didact Math LAMAHIS, Skikda, Algeria

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷

关键词：

Quasi-elliptic equations; Degree-theoretic methods; Eigenvalues; Sobolev spaces;

D O I：

10.5269/bspm.49016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the existence of positive solutions for the quasilinear elliptic system {-Delta(p)u(x) - f(1)(x, v(x)) + h(1)(x) in Omega, -Delta(p)v(x) - f(2)(x, u(x)) + h(2)(x) in Omega, u = v = 0 on partial derivative Omega, where f(i)(x, s), (i = 1, 2) locates between the first and the second eigenvalues of the p-Laplacian. To prove the existence of solutions, we use the Leray-Schauder degree.

引用

页数：8

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