Existence results for a coupled anisotropic $\phi$-Laplacian system with variable exponents
DOI:
https://doi.org/10.2298/FIL2604503RKeywords:
Anisotropic p-Laplacian, degenerate elliptic PDEs, variable exponent spaces, Mountain Pass theoremAbstract
We study a coupled system of anisotropic $\phi$-Laplacian equations with variable exponents, extending earlier work on single equations. Under generalized Orlicz-Sobolev settings, we study nontrivial weak solutions via variational methods. Key tools include Ekeland's principle and Mountain Pass geometry, with compact embeddings linking anisotropic growth to variable exponent Lebesgue spaces.
