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.

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF CRITICAL ANISOTROPIC ELLIPTIC EQUATIONS OF SCHRODINGER-KIRCHHOFF-TYPE

MARIA ALESSANDRA RAGUSA
2023-01-01

Abstract

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.
2023
Schrodinger-Kirchhoff-type problems, Dirichlet boundary conditions, p (x)-Laplacian, Anisotropic variable mean curvature oper ator, Anisotropic variable exponent Sobolev spaces, Concentration-compactness principle
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/562469
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