Generalized critical Kirchhoff-type potential systems with Neumann Boundary conditions

被引：48

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

页码：3958 / 3988

页数：31

共 45 条

[1] On the Hybrid Fractional Differential Equations with Fractional Proportional Derivatives of a Function with Respect to a Certain Function [J].