A MULTIPLICITY RESULT FOR CRITICAL ELLIPTIC PROBLEMS INVOLVING DIFFERENCES OF LOCAL AND NONLOCAL OPERATORS

被引：4

作者：

Perera, Kanishka ^{[1
]}

Sportelli, Caterina ^{[2
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Univ Western Australia, Dept Math & Stat, 35 Stirling Highway, Crawley, WA 6009, Australia

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2024年 / 63卷 / 02期

关键词：

Critical elliptic problems; differences of local and nonlo cal operators; multiplicity of solutions; LAPLACE EQUATIONS; EXISTENCE;

D O I：

10.12775/TMNA.2023.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. We study some critical elliptic problems involving the difference of two nonlo cal operators, or the difference of a local operator and a nonlo cal operator. The main result is the existence of two nontrivial weak solutions, one with negative energy and the other with positive energy, for all sufficiently small values of a parameter. The proof is based on an abstract result recently obtained in [22].

引用

页码：717 / 731

页数：15

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