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

共 50 条

[1] A MULTIPLICITY RESULT FOR NONLOCAL PROBLEMS INVOLVING NONLINEARITIES WITH BOUNDED PRIMITIVE
Ricceri, Biagio
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2010, 55 (04): : 107 - 114
[2] The multiplicity of nontrivial solutions for hemivariational inequalities involving nonlocal elliptic operators
Xi, Lijing
Huang, Yisheng
Zhou, Yuying
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 21 : 87 - 98
[3] MULTIPLICITY RESULTS FOR ELLIPTIC PROBLEMS INVOLVING NONLOCAL INTEGRODIFFERENTIAL OPERATORS WITHOUT AMBROSETTI-RABINOWITZ CONDITION
Bonaldo, Lauren M. M.
Hurtado, Elard J.
Miyagaki, Olimpio H.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 42 (07) : 3329 - 3353
[4] Multiplicity of solutions to class of nonlocal elliptic problems with critical exponents
Hurtado, Elard Juarez
Miyagaki, Olimpio H.
Rodrigues, Rodrigo S.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (07) : 3949 - 3973
[5] Semilinear elliptic equations involving mixed local and nonlocal operators
Biagi, Stefano
Vecchi, Eugenio
Dipierro, Serena
Valdinoci, Enrico
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 151 (05) : 1611 - 1641
[6] MULTIPLICITY RESULT FOR SOME DEGENERATE ELLIPTIC PROBLEM INVOLVING CRITICAL EXPONENTIAL GROWTH IN RN
Aouaoui, Sami
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2015, 28 (3-4) : 255 - 270
[7] Multiplicity results for nonlocal critical problems involving Hardy potential in the whole space
Abdellaoui, B.
Attar, A.
Boukarabila, Y. O.
Laamri, E-H
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (03) : 461 - 497
[8] MULTIPLICITY OF SOLUTIONS TO A NONLOCAL CHOQUARD EQUATION INVOLVING FRACTIONAL MAGNETIC OPERATORS AND CRITICAL EXPONENT
Wang, Fuliang
Xiang, Mingqi
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[9] MULTIPLICITY RESULTS AND BIFURCATION FOR NONLINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL SOBOLEV EXPONENTS
SANG, JY
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (12) : 1493 - 1498
[10] On Nonlocal Elliptic Problems of the Kirchhoff Type Involving the Hardy Potential and Critical Nonlinearity
El Mokhtar, M. E. O.
Benmansour, S.
Matallah, A.
JOURNAL OF APPLIED MATHEMATICS, 2023, 2023

← 1 2 3 4 5 →