The sublinear problem for the 1-Homogeneous p-Laplacian

In this paper we prove the existence and uniqueness of a positive viscosity solution of the 1-homogeneous p-Laplacian with a sublinear righthand side; that is, -|Du|2-pdiv (|Du|p-2Du) = λuq in Ω, u = 0 on ∂Ω, where Ω is a bounded starshaped domain, λ > 0, p > 2 and 0 < q < 1. © 2014 Amer...

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Detalles Bibliográficos
Autor principal: Rossi, Julio Daniel
Publicado: 2014
Materias:
1-homogeneous p-Laplacian
Infinity-Laplacian
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n8_p2641_MartinezAparicio
http://hdl.handle.net/20.500.12110/paper_00029939_v142_n8_p2641_MartinezAparicio
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00029939_v142_n8_p2641_MartinezAparicio
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spelling paper:paper_00029939_v142_n8_p2641_MartinezAparicio2023-06-08T14:23:34Z The sublinear problem for the 1-Homogeneous p-Laplacian Rossi, Julio Daniel 1-homogeneous p-Laplacian Infinity-Laplacian In this paper we prove the existence and uniqueness of a positive viscosity solution of the 1-homogeneous p-Laplacian with a sublinear righthand side; that is, -|Du|2-pdiv (|Du|p-2Du) = λuq in Ω, u = 0 on ∂Ω, where Ω is a bounded starshaped domain, λ > 0, p > 2 and 0 < q < 1. © 2014 American Mathematical Society. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n8_p2641_MartinezAparicio http://hdl.handle.net/20.500.12110/paper_00029939_v142_n8_p2641_MartinezAparicio
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 1-homogeneous p-Laplacian
Infinity-Laplacian
spellingShingle 1-homogeneous p-Laplacian
Infinity-Laplacian
Rossi, Julio Daniel
The sublinear problem for the 1-Homogeneous p-Laplacian
topic_facet 1-homogeneous p-Laplacian
Infinity-Laplacian
description In this paper we prove the existence and uniqueness of a positive viscosity solution of the 1-homogeneous p-Laplacian with a sublinear righthand side; that is, -|Du|2-pdiv (|Du|p-2Du) = λuq in Ω, u = 0 on ∂Ω, where Ω is a bounded starshaped domain, λ > 0, p > 2 and 0 < q < 1. © 2014 American Mathematical Society.
author Rossi, Julio Daniel
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
title The sublinear problem for the 1-Homogeneous p-Laplacian
title_short The sublinear problem for the 1-Homogeneous p-Laplacian
title_full The sublinear problem for the 1-Homogeneous p-Laplacian
title_fullStr The sublinear problem for the 1-Homogeneous p-Laplacian
title_full_unstemmed The sublinear problem for the 1-Homogeneous p-Laplacian
title_sort sublinear problem for the 1-homogeneous p-laplacian
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n8_p2641_MartinezAparicio
http://hdl.handle.net/20.500.12110/paper_00029939_v142_n8_p2641_MartinezAparicio
work_keys_str_mv AT rossijuliodaniel thesublinearproblemforthe1homogeneousplaplacian
AT rossijuliodaniel sublinearproblemforthe1homogeneousplaplacian
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