Multi-bump solutions for nonlinear elliptic equations involving critical Sobolev exponents
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jin, S. | - |
dc.date.accessioned | 2023-03-08T06:19:26Z | - |
dc.date.available | 2023-03-08T06:19:26Z | - |
dc.date.issued | 2022-07 | - |
dc.identifier.issn | 0362-546X | - |
dc.identifier.issn | 1873-5215 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/61277 | - |
dc.description.abstract | We study the existence of multi-bump solutions of −Δu−λu=up,u>0inΩt,u=0on∂Ωt,where λ is a real constant, N≥3, [Formula presented], and Ωt is a domain that expands as t→∞. It is known that the topology of the domain Ωt affects the existence and non-existence of solutions. In this article, we prove the existence of multi-bump solutions for more general domains; for example, Ωtball≡{tq+v|q∈M,v∈(TqM)⊥,|v|<1} or Ωtann={tq+v|q∈M,v∈(TqM)⊥,a<|v|<a+1}, where a>0 and M is a k-dimensional compact smooth submanifold of RN without boundary (k=1,⋯,N−1). © 2022 Elsevier Ltd | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | Elsevier Ltd | - |
dc.title | Multi-bump solutions for nonlinear elliptic equations involving critical Sobolev exponents | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.na.2022.112829 | - |
dc.identifier.bibliographicCitation | Nonlinear Analysis, Theory, Methods and Applications, v.220 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 000782582000010 | - |
dc.identifier.scopusid | 2-s2.0-85125662602 | - |
dc.citation.title | Nonlinear Analysis, Theory, Methods and Applications | - |
dc.citation.volume | 220 | - |
dc.type.docType | Article | - |
dc.publisher.location | 영국 | - |
dc.subject.keywordAuthor | Critical problem | - |
dc.subject.keywordAuthor | Expanding domain | - |
dc.subject.keywordAuthor | Multi-bump solutions | - |
dc.subject.keywordPlus | POSITIVE SOLUTIONS | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | SYMMETRY | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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