Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian

In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at infinity. Our proofs make use of variational t...

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Autores principales:	Manouni Said El, Marino Greta, Winkert Patrick
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	convection term double phase operator multiplicity results nonlinear boundary condition robin eigenvalue problem steklov eigenvalue problem 35j15 35j62 35j92 35p30 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/fedbac28d33e451a8cd38ff65371fd8a
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spelling	oai:doaj.org-article:fedbac28d33e451a8cd38ff65371fd8a2021-12-05T14:10:40ZExistence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian2191-94962191-950X10.1515/anona-2020-0193https://doaj.org/article/fedbac28d33e451a8cd38ff65371fd8a2021-07-01T00:00:00Zhttps://doi.org/10.1515/anona-2020-0193https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XIn this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at infinity. Our proofs make use of variational tools, truncation techniques and comparison methods. The obtained solutions depend on the first eigenvalues of the Robin and Steklov eigenvalue problems for the p-Laplacian.Manouni Said ElMarino GretaWinkert PatrickDe Gruyterarticleconvection termdouble phase operatormultiplicity resultsnonlinear boundary conditionrobin eigenvalue problemsteklov eigenvalue problem35j1535j6235j9235p30AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 304-320 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	convection term double phase operator multiplicity results nonlinear boundary condition robin eigenvalue problem steklov eigenvalue problem 35j15 35j62 35j92 35p30 Analysis QA299.6-433
spellingShingle	convection term double phase operator multiplicity results nonlinear boundary condition robin eigenvalue problem steklov eigenvalue problem 35j15 35j62 35j92 35p30 Analysis QA299.6-433 Manouni Said El Marino Greta Winkert Patrick Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian
description	In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at infinity. Our proofs make use of variational tools, truncation techniques and comparison methods. The obtained solutions depend on the first eigenvalues of the Robin and Steklov eigenvalue problems for the p-Laplacian.
format	article
author	Manouni Said El Marino Greta Winkert Patrick
author_facet	Manouni Said El Marino Greta Winkert Patrick
author_sort	Manouni Said El
title	Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian
title_short	Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian
title_full	Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian
title_fullStr	Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian
title_full_unstemmed	Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian
title_sort	existence results for double phase problems depending on robin and steklov eigenvalues for the p-laplacian
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/fedbac28d33e451a8cd38ff65371fd8a
work_keys_str_mv	AT manounisaidel existenceresultsfordoublephaseproblemsdependingonrobinandstekloveigenvaluesfortheplaplacian AT marinogreta existenceresultsfordoublephaseproblemsdependingonrobinandstekloveigenvaluesfortheplaplacian AT winkertpatrick existenceresultsfordoublephaseproblemsdependingonrobinandstekloveigenvaluesfortheplaplacian
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Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian

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