Positive solutions for (p, q)-equations with convection and a sign-changing reaction
We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is dependent on the gradient. We look for positive solutions and we do not assume that the reaction is nonnegative. Using a mixture of variational and topological methods (the "frozen variable&quo...
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| Auteurs principaux: | , |
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| Format: | article |
| Langue: | EN |
| Publié: |
De Gruyter
2021
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| Sujets: | |
| Accès en ligne: | https://doaj.org/article/b360c477e95e45f8ab53ce8d3c7bbbf8 |
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| Résumé: | We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is dependent on the gradient. We look for positive solutions and we do not assume that the reaction is nonnegative. Using a mixture of variational and topological methods (the "frozen variable" technique), we prove the existence of a positive smooth solution. |
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