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

Nabil Chems Eddine,Phuong Duc Nguyen,Maria Alessandra Ragusa

MATHEMATICAL METHODS IN THE APPLIED SCIENCES（2023）

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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.

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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

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