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.
Nastasi, A. (2020). Weak Solutions for a (p(z), q(z))-Laplacian Dirichlet Problem. FILOMAT, 34(3), 999-1011 [10.2298/FIL2003999N].
Weak Solutions for a (p(z), q(z))-Laplacian Dirichlet Problem
Nastasi, A
Primo
2020-01-01
Abstract
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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