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
收藏
页码：717 / 731
页数：15
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