6533b824fe1ef96bd12814e1

RESEARCH PRODUCT

Weak Solutions for a (p(z), q(z))-Laplacian Dirichlet Problem

Antonella Nastasi

subject

Dirichlet problemPure mathematicsGeneral MathematicsMathematics::Analysis of PDEsweak solutionLaplace operator(p(z) q(z))-Laplacian operatorMathematics(C-c)-condition

description

We establish the existence of a nontrivial and nonnegative solution for a double phase Dirichlet problem driven by a (p(z); q(z))-Laplacian operator plus a potential term. Our approach is variational, but the reaction term f need not satisfy the usual in such cases Ambrosetti-Rabinowitz condition.

10.2298/fil2003999nhttps://hdl.handle.net/10447/576737