Generalized critical Kirchhoff-type potential systems with Neumann Boundary conditions

被引：43
|
作者：
Chems Eddine, Nabil [1 ]
Ragusa, Maria Alessandra [2 ,3 ]
机构：
[1] Mohammed V Univ, Fac Sci, Dept Math, Lab Math Anal & Applicat, Rabat, Morocco
[2] Univ Catania, Dipartimento Matemat & Informat, Catania, Italy
[3] RUDN Univ, Moscow, Russia
来源：
APPLICABLE ANALYSIS | 2022年 / 101卷 / 11期
关键词：
Variable exponent spaces; critical Sobolev exponents; Kirchhoff-type problems; p-Laplcian; p(x)-Laplacian; generalized Capillary operator; Neumann Boundary conditions; concentration-compactness principle; Palais-Smale condition; mountain pass theorem; critical points theory; VARIABLE EXPONENT; CONCENTRATION-COMPACTNESS; ELLIPTIC-EQUATIONS; SOBOLEV SPACES; WEAK SOLUTIONS; REGULARITY; EXISTENCE; PRINCIPLE;
D O I：
10.1080/00036811.2022.2057305
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a class of quasilinear stationary Kirchhoff type potential systems with Neumann Boundary conditions, which involves a general variable exponent elliptic operator with critical growth. Under some suitable conditions on the nonlinearities, we establish existence and multiplicity of solutions for the problem by using the concentration-compactness principle of Lions for variable exponents and the mountain pass theorem without the Palais-Smale condition.
引用
收藏
页码：3958 / 3988
页数：31
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