A class of semipositone p-Laplacian problems with a critical growth reaction term
We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration compactness arguments. Our results are new even in the...
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| Language: | English |
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De Gruyter
2019-06-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2020-0012 |
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doaj-67b40425c5104d71b4c403c12fe84a7a2021-09-06T19:39:56ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2019-06-019151652510.1515/anona-2020-0012anona-2020-0012A class of semipositone p-Laplacian problems with a critical growth reaction termPerera Kanishka0Shivaji Ratnasingham1Sim Inbo2Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USADepartment of Mathematics and Statistics, University of North Carolina at Greensboro, Greensboro, NC 27412, USADepartment of Mathematics, University of Ulsan, Ulsan, 680-749, Republic of KoreaWe prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration compactness arguments. Our results are new even in the semilinear case p = 2.https://doi.org/10.1515/anona-2020-0012critical semipositone p-laplacian problemsground state positive solutionsconcentration compactnessuniform c1,α a priori estimatesprimary 35b33secondary 35j9235b0935b45 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Perera Kanishka Shivaji Ratnasingham Sim Inbo |
| spellingShingle |
Perera Kanishka Shivaji Ratnasingham Sim Inbo A class of semipositone p-Laplacian problems with a critical growth reaction term Advances in Nonlinear Analysis critical semipositone p-laplacian problems ground state positive solutions concentration compactness uniform c1,α a priori estimates primary 35b33 secondary 35j92 35b09 35b45 |
| author_facet |
Perera Kanishka Shivaji Ratnasingham Sim Inbo |
| author_sort |
Perera Kanishka |
| title |
A class of semipositone p-Laplacian problems with a critical growth reaction term |
| title_short |
A class of semipositone p-Laplacian problems with a critical growth reaction term |
| title_full |
A class of semipositone p-Laplacian problems with a critical growth reaction term |
| title_fullStr |
A class of semipositone p-Laplacian problems with a critical growth reaction term |
| title_full_unstemmed |
A class of semipositone p-Laplacian problems with a critical growth reaction term |
| title_sort |
class of semipositone p-laplacian problems with a critical growth reaction term |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-950X |
| publishDate |
2019-06-01 |
| description |
We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration compactness arguments. Our results are new even in the semilinear case p = 2. |
| topic |
critical semipositone p-laplacian problems ground state positive solutions concentration compactness uniform c1,α a priori estimates primary 35b33 secondary 35j92 35b09 35b45 |
| url |
https://doi.org/10.1515/anona-2020-0012 |
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AT pererakanishka aclassofsemipositoneplaplacianproblemswithacriticalgrowthreactionterm AT shivajiratnasingham aclassofsemipositoneplaplacianproblemswithacriticalgrowthreactionterm AT siminbo aclassofsemipositoneplaplacianproblemswithacriticalgrowthreactionterm AT pererakanishka classofsemipositoneplaplacianproblemswithacriticalgrowthreactionterm AT shivajiratnasingham classofsemipositoneplaplacianproblemswithacriticalgrowthreactionterm AT siminbo classofsemipositoneplaplacianproblemswithacriticalgrowthreactionterm |
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