Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities

By variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.

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Main Authors: Tsing-San Hsu, Huei-Li Lin
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/579481
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author Tsing-San Hsu
Huei-Li Lin
author_facet Tsing-San Hsu
Huei-Li Lin
author_sort Tsing-San Hsu
collection DOAJ
description By variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-d18b436c4dc74099bebc23898c7219ad2025-02-03T01:02:13ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/579481579481Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex NonlinearitiesTsing-San Hsu0Huei-Li Lin1Center for General Education, Chang Gung University, Kwei-Shan, TaiwanCenter for General Education, Chang Gung University, Kwei-Shan, TaiwanBy variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.http://dx.doi.org/10.1155/2012/579481
spellingShingle Tsing-San Hsu
Huei-Li Lin
Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities
Abstract and Applied Analysis
title Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities
title_full Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities
title_fullStr Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities
title_full_unstemmed Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities
title_short Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities
title_sort multiplicity of positive solutions for weighted quasilinear elliptic equations involving critical hardy sobolev exponents and concave convex nonlinearities
url http://dx.doi.org/10.1155/2012/579481
work_keys_str_mv AT tsingsanhsu multiplicityofpositivesolutionsforweightedquasilinearellipticequationsinvolvingcriticalhardysobolevexponentsandconcaveconvexnonlinearities
AT hueililin multiplicityofpositivesolutionsforweightedquasilinearellipticequationsinvolvingcriticalhardysobolevexponentsandconcaveconvexnonlinearities