Weak solutions for a $(p(z),q(z))$-Laplacian Dirichlet problem

Antonella Nastasi


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.


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