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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Autores principales:	Zeng Shengda, Papageorgiou Nikolaos S.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	gradient dependent reaction frozen variable method leray-schauder alternative principle nonlinear regularity nogumo-hartman condition 35j60 35j91 35j92 35d30 35d35 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/b360c477e95e45f8ab53ce8d3c7bbbf8
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spelling	oai:doaj.org-article:b360c477e95e45f8ab53ce8d3c7bbbf82021-12-05T14:10:40ZPositive solutions for (p, q)-equations with convection and a sign-changing reaction2191-94962191-950X10.1515/anona-2020-0176https://doaj.org/article/b360c477e95e45f8ab53ce8d3c7bbbf82021-07-01T00:00:00Zhttps://doi.org/10.1515/anona-2020-0176https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XWe 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.Zeng ShengdaPapageorgiou Nikolaos S.De Gruyterarticlegradient dependent reactionfrozen variable methodleray-schauder alternative principlenonlinear regularitynogumo-hartman condition35j6035j9135j9235d3035d35AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 40-57 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	gradient dependent reaction frozen variable method leray-schauder alternative principle nonlinear regularity nogumo-hartman condition 35j60 35j91 35j92 35d30 35d35 Analysis QA299.6-433
spellingShingle	gradient dependent reaction frozen variable method leray-schauder alternative principle nonlinear regularity nogumo-hartman condition 35j60 35j91 35j92 35d30 35d35 Analysis QA299.6-433 Zeng Shengda Papageorgiou Nikolaos S. Positive solutions for (p, q)-equations with convection and a sign-changing reaction
description	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.
format	article
author	Zeng Shengda Papageorgiou Nikolaos S.
author_facet	Zeng Shengda Papageorgiou Nikolaos S.
author_sort	Zeng Shengda
title	Positive solutions for (p, q)-equations with convection and a sign-changing reaction
title_short	Positive solutions for (p, q)-equations with convection and a sign-changing reaction
title_full	Positive solutions for (p, q)-equations with convection and a sign-changing reaction
title_fullStr	Positive solutions for (p, q)-equations with convection and a sign-changing reaction
title_full_unstemmed	Positive solutions for (p, q)-equations with convection and a sign-changing reaction
title_sort	positive solutions for (p, q)-equations with convection and a sign-changing reaction
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/b360c477e95e45f8ab53ce8d3c7bbbf8
work_keys_str_mv	AT zengshengda positivesolutionsforpqequationswithconvectionandasignchangingreaction AT papageorgiounikolaoss positivesolutionsforpqequationswithconvectionandasignchangingreaction
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Positive solutions for (p, q)-equations with convection and a sign-changing reaction

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