EXISTENCE OF ENTIRE SOLUTIONS FOR QUASILINEAR ELIPTIC SYSTEMS UNDER KELLER-OSSERMAN CONDITION

In this paper, we study the existence of entire solutions for the following elliptic system △mu = p(x) f (v), △lv = q (x) g (u), x E R N, where 1 < m, l <∞, f, g are continuous and non-decreasing on [0,∞), satisfy f (t) > 0, g(t) > 0 for al...

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Autores principales:	Zhang,Yuan, Yang,Zuodong
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:	quasi-linear elliptic system sub/super-solution large solution existence
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100008
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spelling	oai:scielo:S0719-064620130001000082018-10-08EXISTENCE OF ENTIRE SOLUTIONS FOR QUASILINEAR ELIPTIC SYSTEMS UNDER KELLER-OSSERMAN CONDITIONZhang,YuanYang,Zuodong quasi-linear elliptic system sub/super-solution large solution existence In this paper, we study the existence of entire solutions for the following elliptic system △mu = p(x) f (v), △lv = q (x) g (u), x E R N, where 1 < m, l <∞, f, g are continuous and non-decreasing on [0,∞), satisfy f (t) > 0, g(t) > 0 for all t > 0 and the Keller-Osserman condition. We establish conditions on p and q that are necessary for the existence of positive solutions, bounded and unbounded, of the given equation.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.1 20132013-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100008en10.4067/S0719-06462013000100008
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	quasi-linear elliptic system sub/super-solution large solution existence
spellingShingle	quasi-linear elliptic system sub/super-solution large solution existence Zhang,Yuan Yang,Zuodong EXISTENCE OF ENTIRE SOLUTIONS FOR QUASILINEAR ELIPTIC SYSTEMS UNDER KELLER-OSSERMAN CONDITION
description	In this paper, we study the existence of entire solutions for the following elliptic system △mu = p(x) f (v), △lv = q (x) g (u), x E R N, where 1 < m, l <∞, f, g are continuous and non-decreasing on [0,∞), satisfy f (t) > 0, g(t) > 0 for all t > 0 and the Keller-Osserman condition. We establish conditions on p and q that are necessary for the existence of positive solutions, bounded and unbounded, of the given equation.
author	Zhang,Yuan Yang,Zuodong
author_facet	Zhang,Yuan Yang,Zuodong
author_sort	Zhang,Yuan
title	EXISTENCE OF ENTIRE SOLUTIONS FOR QUASILINEAR ELIPTIC SYSTEMS UNDER KELLER-OSSERMAN CONDITION
title_short	EXISTENCE OF ENTIRE SOLUTIONS FOR QUASILINEAR ELIPTIC SYSTEMS UNDER KELLER-OSSERMAN CONDITION
title_full	EXISTENCE OF ENTIRE SOLUTIONS FOR QUASILINEAR ELIPTIC SYSTEMS UNDER KELLER-OSSERMAN CONDITION
title_fullStr	EXISTENCE OF ENTIRE SOLUTIONS FOR QUASILINEAR ELIPTIC SYSTEMS UNDER KELLER-OSSERMAN CONDITION
title_full_unstemmed	EXISTENCE OF ENTIRE SOLUTIONS FOR QUASILINEAR ELIPTIC SYSTEMS UNDER KELLER-OSSERMAN CONDITION
title_sort	existence of entire solutions for quasilinear eliptic systems under keller-osserman condition
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100008
work_keys_str_mv	AT zhangyuan existenceofentiresolutionsforquasilinearelipticsystemsunderkellerossermancondition AT yangzuodong existenceofentiresolutionsforquasilinearelipticsystemsunderkellerossermancondition
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EXISTENCE OF ENTIRE SOLUTIONS FOR QUASILINEAR ELIPTIC SYSTEMS UNDER KELLER-OSSERMAN CONDITION

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