We consider a nonlinear Dirichlet problem driven by the sum of a p-Laplacian and of a q-Laplacian (double phase equation). In the reaction we have the combined effects of a singular term and of a gradient dependent term (convection) which is locally defined. Using a mixture of variational and topological methods, together with suitable truncation and comparison techniques, we prove the existence of a positive smooth solution.
|Number of pages||16|
|Journal||Acta Applicandae Mathematicae|
|Publication status||Published - 2020|
All Science Journal Classification (ASJC) codes
- Applied Mathematics