Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrodinger-Kirchhoff-type

被引：25

作者：

Chems Eddine, Nabil ^{[1
]}

Nguyen, Phuong Duc ^{[2
]}

Ragusa, Maria Alessandra ^{[2
,3
]}

机构：

[1] Mohammed V Univ, Fac Sci, Dept Math, Rabat, Morocco

[2] Ind Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, Vietnam

[3] Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 16期

关键词：

anisotropic variable mean curvature operator anisotropic variable exponent Sobolev spaces; concentration-compactness principle; Dirichlet boundary conditions; Schrodinger-Kirchhoff-typeproblems; (p)over-bar(x)-Laplacian; BREZIS-NIRENBERG RESULT; ELECTRORHEOLOGICAL FLUIDS; P(X)-LAPLACIAN EQUATIONS; VARIABLE EXPONENT; CRITICAL GROWTH; SPACES; FUNCTIONALS; EIGENVALUE;

D O I：

10.1002/mma.9474

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we obtain the existence and infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real parameters, via combining the variational method, and the concentration-compactness principle for anisotropic variable exponent under suitable assumptions on the nonlinearities.

引用

页码：16782 / 16801

页数：20

共 56 条

[1]

Ablowitz M.J., 2004, DISCRETE CONTINUOUS

[2] Regularity results for electrorheological fluids: the stationary case [J].