NONNEGATIVE SOLUTIONS OF QUASILINEAR ELLIPTIC PROBLEMS WITH SUBLINEAR INDEFINITE NONLINEARITY

NONNEGATIVE SOLUTIONS OF QUASILINEAR ELLIPTIC PROBLEMS WITH SUBLINEAR INDEFINITE NONLINEARITY

We study the existence, nonexistence and multiplicity of nonnegative solutions for the quasilinear elliptic problem <img border=0 width=438 height=87 id="_x0000_i1040" src="http:/fbpe/img/cubo/v15n2/art02-f1.jpg"> where <img border=0 width=21 height=25 id="_x0000_i1...

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Auteurs principaux: Wang,Weihui, Yang,Zuodong
Langue:English
Publié: Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Sujets:
Nonnegative solutions
quasilinear elliptic problems
sublinear indefinite nonlinearity
Existence and nonexistence
Accès en ligne:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000200002
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spelling oai:scielo:S0719-064620130002000022018-10-08NONNEGATIVE SOLUTIONS OF QUASILINEAR ELLIPTIC PROBLEMS WITH SUBLINEAR INDEFINITE NONLINEARITYWang,WeihuiYang,Zuodong Nonnegative solutions quasilinear elliptic problems sublinear indefinite nonlinearity Existence and nonexistence We study the existence, nonexistence and multiplicity of nonnegative solutions for the quasilinear elliptic problem <img border=0 width=438 height=87 id="_x0000_i1040" src="http:/fbpe/img/cubo/v15n2/art02-f1.jpg"> where <img border=0 width=21 height=25 id="_x0000_i1039" src="http:/fbpe/img/cubo/v15n2/art02-02.jpg"> is a bounded domain in R N, <img border=0 width=14 height=15 id="_x0000_i1038" src="http:/fbpe/img/cubo/v15n2/art02-01.jpg"> &gt; 0 is a parameter, <img border=0 width=15 height=25 id="_x0000_i1037" src="http:/fbpe/img/cubo/v15n2/art02-03.jpg"> p = div (|<img border=0 width=18 height=19 id="_x0000_i1036" src="http:/fbpe/img/cubo/v15n2/art02-04.jpg"> u|p-2<img border=0 width=18 height=19 id="_x0000_i1035" src="http:/fbpe/img/cubo/v15n2/art02-04.jpg"> u) is the p-Laplace operator of u, 1 < p < N, 0 < q < p-1 < r <p*-1, a (x), b (x) are bounded functions, the coefficient b (x) is assumed to be nonnegative and a (x) is allowed to change sign. The results of the semilinear equations are extended to the quasilinear problem.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.2 20132013-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000200002en10.4067/S0719-06462013000200002
institution Scielo Chile
collection Scielo Chile
language English
topic Nonnegative solutions
quasilinear elliptic problems
sublinear indefinite nonlinearity
Existence and nonexistence
spellingShingle Nonnegative solutions
quasilinear elliptic problems
sublinear indefinite nonlinearity
Existence and nonexistence
Wang,Weihui
Yang,Zuodong
NONNEGATIVE SOLUTIONS OF QUASILINEAR ELLIPTIC PROBLEMS WITH SUBLINEAR INDEFINITE NONLINEARITY
description We study the existence, nonexistence and multiplicity of nonnegative solutions for the quasilinear elliptic problem <img border=0 width=438 height=87 id="_x0000_i1040" src="http:/fbpe/img/cubo/v15n2/art02-f1.jpg"> where <img border=0 width=21 height=25 id="_x0000_i1039" src="http:/fbpe/img/cubo/v15n2/art02-02.jpg"> is a bounded domain in R N, <img border=0 width=14 height=15 id="_x0000_i1038" src="http:/fbpe/img/cubo/v15n2/art02-01.jpg"> &gt; 0 is a parameter, <img border=0 width=15 height=25 id="_x0000_i1037" src="http:/fbpe/img/cubo/v15n2/art02-03.jpg"> p = div (|<img border=0 width=18 height=19 id="_x0000_i1036" src="http:/fbpe/img/cubo/v15n2/art02-04.jpg"> u|p-2<img border=0 width=18 height=19 id="_x0000_i1035" src="http:/fbpe/img/cubo/v15n2/art02-04.jpg"> u) is the p-Laplace operator of u, 1 < p < N, 0 < q < p-1 < r <p*-1, a (x), b (x) are bounded functions, the coefficient b (x) is assumed to be nonnegative and a (x) is allowed to change sign. The results of the semilinear equations are extended to the quasilinear problem.
author Wang,Weihui
Yang,Zuodong
author_facet Wang,Weihui
Yang,Zuodong
author_sort Wang,Weihui
title NONNEGATIVE SOLUTIONS OF QUASILINEAR ELLIPTIC PROBLEMS WITH SUBLINEAR INDEFINITE NONLINEARITY
title_short NONNEGATIVE SOLUTIONS OF QUASILINEAR ELLIPTIC PROBLEMS WITH SUBLINEAR INDEFINITE NONLINEARITY
title_full NONNEGATIVE SOLUTIONS OF QUASILINEAR ELLIPTIC PROBLEMS WITH SUBLINEAR INDEFINITE NONLINEARITY
title_fullStr NONNEGATIVE SOLUTIONS OF QUASILINEAR ELLIPTIC PROBLEMS WITH SUBLINEAR INDEFINITE NONLINEARITY
title_full_unstemmed NONNEGATIVE SOLUTIONS OF QUASILINEAR ELLIPTIC PROBLEMS WITH SUBLINEAR INDEFINITE NONLINEARITY
title_sort nonnegative solutions of quasilinear elliptic problems with sublinear indefinite nonlinearity
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2013
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000200002
work_keys_str_mv AT wangweihui nonnegativesolutionsofquasilinearellipticproblemswithsublinearindefinitenonlinearity
AT yangzuodong nonnegativesolutionsofquasilinearellipticproblemswithsublinearindefinitenonlinearity
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