Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents

Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents

In this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents. Using variational methods, we establish the existence and multiplicity of positive solutions for the problem.

Bibliographic Details
Main Authors: Yong-Yi Lan, Xian Hu, Bi-Yun Tang
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/6727414
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spelling doaj-05bfe696434148a5babf2633a0f1c4a32020-11-25T03:02:48ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/67274146727414Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev ExponentsYong-Yi Lan0Xian Hu1Bi-Yun Tang2School of Science, Jimei University, Xiamen 361021, ChinaSchool of Science, Jimei University, Xiamen 361021, ChinaSchool of Science, Jimei University, Xiamen 361021, ChinaIn this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents. Using variational methods, we establish the existence and multiplicity of positive solutions for the problem.http://dx.doi.org/10.1155/2020/6727414
collection DOAJ
language English
format Article
sources DOAJ
author Yong-Yi Lan
Xian Hu
Bi-Yun Tang
spellingShingle Yong-Yi Lan
Xian Hu
Bi-Yun Tang
Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents
Journal of Function Spaces
author_facet Yong-Yi Lan
Xian Hu
Bi-Yun Tang
author_sort Yong-Yi Lan
title Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents
title_short Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents
title_full Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents
title_fullStr Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents
title_full_unstemmed Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents
title_sort positive solutions for elliptic problems with the nonlinearity containing singularity and hardy-sobolev exponents
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description In this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents. Using variational methods, we establish the existence and multiplicity of positive solutions for the problem.
url http://dx.doi.org/10.1155/2020/6727414
work_keys_str_mv AT yongyilan positivesolutionsforellipticproblemswiththenonlinearitycontainingsingularityandhardysobolevexponents
AT xianhu positivesolutionsforellipticproblemswiththenonlinearitycontainingsingularityandhardysobolevexponents
AT biyuntang positivesolutionsforellipticproblemswiththenonlinearitycontainingsingularityandhardysobolevexponents
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