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


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.