On the existence of a priori bounds for positive solutions of elliptic problems, II

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Auteur principal: Rosa Pardo
Format: Artículo científico
Langue:en
Publié: Universidad Industrial de Santander 2019
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author Rosa Pardo
author_facet Rosa Pardo
contents On the existence of a priori bounds for positive solutions of elliptic problems, II Rosa Pardo Física, Astronomía y Matemáticas org siir client entities estimates We continue studying the existence of uniform L°° a priori bounds for positive solutions of subcritical elliptic equations (P)p-Apu=f(u), inu, u=0,on OU We provide sufficient conditions for having a-priori L ∞ bounds C1,u (u) positive solutions to a class of subcritical elliptic problems in bounded, convex, C2 domains. In this part II, we extend our results to Hamiltonian elliptic systems -Δu = f(v), -Δv = g(u), in Ω, u = v = 0... 2019 artículo científico 0120-419X https://www.redalyc.org/articulo.oa?id=327062425006 https://www.redalyc.org/journal/3270/327062425006/ https://www.redalyc.org/journal/3270/327062425006/html/ https://www.redalyc.org/journal/3270/327062425006/327062425006.epub https://www.redalyc.org/journal/3270/327062425006/movil 10.18273/revint.v37n1-2019006. en http://www.redalyc.org/revista.oa?id=3270 Revista Integración application/pdf Universidad Industrial de Santander Revista Integración (Colombia) Num.1 Vol.37
format Artículo científico
id redalyc_327062425006
institution Redalyc
language en
publishDate 2019
publisher Universidad Industrial de Santander
spellingShingle On the existence of a priori bounds for positive solutions of elliptic problems, II
Rosa Pardo
Física, Astronomía y Matemáticas
org
siir
client
entities
estimates
On the existence of a priori bounds for positive solutions of elliptic problems, II Rosa Pardo Física, Astronomía y Matemáticas org siir client entities estimates We continue studying the existence of uniform L°° a priori bounds for positive solutions of subcritical elliptic equations (P)p-Apu=f(u), inu, u=0,on OU We provide sufficient conditions for having a-priori L ∞ bounds C1,u (u) positive solutions to a class of subcritical elliptic problems in bounded, convex, C2 domains. In this part II, we extend our results to Hamiltonian elliptic systems -Δu = f(v), -Δv = g(u), in Ω, u = v = 0... 2019 artículo científico 0120-419X https://www.redalyc.org/articulo.oa?id=327062425006 https://www.redalyc.org/journal/3270/327062425006/ https://www.redalyc.org/journal/3270/327062425006/html/ https://www.redalyc.org/journal/3270/327062425006/327062425006.epub https://www.redalyc.org/journal/3270/327062425006/movil 10.18273/revint.v37n1-2019006. en http://www.redalyc.org/revista.oa?id=3270 Revista Integración application/pdf Universidad Industrial de Santander Revista Integración (Colombia) Num.1 Vol.37
title On the existence of a priori bounds for positive solutions of elliptic problems, II
topic Física, Astronomía y Matemáticas
org
siir
client
entities
estimates
url https://www.redalyc.org/articulo.oa?id=327062425006
https://www.redalyc.org/journal/3270/327062425006/
https://www.redalyc.org/journal/3270/327062425006/html/
https://www.redalyc.org/journal/3270/327062425006/327062425006.epub
https://www.redalyc.org/journal/3270/327062425006/movil