Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian

We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the Lq-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the number of “positive bumps” of the degenerate te...

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Autores principales:	Candito Pasquale, Gasiński Leszek, Livrea Roberto, Santos Júnior João R.
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	nonlocal problems p-laplacian sign-changing coefficient multiple fixed points 35j20 35j25 35q74 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/31d8852dcbfc4f6fb51c1294a2ec92a6
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spelling	oai:doaj.org-article:31d8852dcbfc4f6fb51c1294a2ec92a62021-12-05T14:10:40ZMultiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian2191-94962191-950X10.1515/anona-2021-0200https://doaj.org/article/31d8852dcbfc4f6fb51c1294a2ec92a62021-08-01T00:00:00Zhttps://doi.org/10.1515/anona-2021-0200https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XWe consider a nonlinear boundary value problem with degenerate nonlocal term depending on the Lq-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the number of “positive bumps” of the degenerate term. The solutions are also ordered according to their Lq-norms.Candito PasqualeGasiński LeszekLivrea RobertoSantos Júnior João R.De Gruyterarticlenonlocal problemsp-laplaciansign-changing coefficientmultiple fixed points35j2035j2535q74AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 357-368 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	nonlocal problems p-laplacian sign-changing coefficient multiple fixed points 35j20 35j25 35q74 Analysis QA299.6-433
spellingShingle	nonlocal problems p-laplacian sign-changing coefficient multiple fixed points 35j20 35j25 35q74 Analysis QA299.6-433 Candito Pasquale Gasiński Leszek Livrea Roberto Santos Júnior João R. Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian
description	We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the Lq-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the number of “positive bumps” of the degenerate term. The solutions are also ordered according to their Lq-norms.
format	article
author	Candito Pasquale Gasiński Leszek Livrea Roberto Santos Júnior João R.
author_facet	Candito Pasquale Gasiński Leszek Livrea Roberto Santos Júnior João R.
author_sort	Candito Pasquale
title	Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian
title_short	Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian
title_full	Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian
title_fullStr	Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian
title_full_unstemmed	Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian
title_sort	multiplicity of positive solutions for a degenerate nonlocal problem with p-laplacian
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/31d8852dcbfc4f6fb51c1294a2ec92a6
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Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian

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