Existence of solutions for p(x)-Laplacian Dirichlet problem Original Research Article

This paper presents several sufficient conditions for the existence of solutions for the Dirichlet problem of p(x)-Laplacian View the MathML source Especially, an existence criterion for infinite many pairs of solutions for the problem is obtained. The discussion is based on the theory of the spaces Lp(x)(Ω) and View the MathML source.