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DC Field | Value | Language |
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dc.citation.number | 3 | - |
dc.citation.startPage | 76 | - |
dc.citation.title | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | - |
dc.citation.volume | 56 | - |
dc.contributor.author | Byun, Sun-Sig | - |
dc.contributor.author | Ko, Eenkyung | - |
dc.date.accessioned | 2023-12-21T22:12:04Z | - |
dc.date.available | 2023-12-21T22:12:04Z | - |
dc.date.created | 2017-05-22 | - |
dc.date.issued | 2017-06 | - |
dc.description.abstract | In this paper we study the following singular p(x)-Laplacian problem { -div (vertical bar del u vertical bar(p(x)-2)del u) = lambda/u(beta(x)) + u(q(x)), in Omega, u > 0, in Omega, u = 0, on partial derivative Omega, where Omega is a bounded domain in R-N, N >= 2, with smooth boundary partial derivative Omega, beta is an element of C-1((Omega) over bar) with 0 < beta(x) < 1, p is an element of C-1((Omega) over bar), q is an element of C((Omega) over bar) with p(x) > 1, p(x) < q(x)+ 1 < p*(x) for x is an element of(Omega) over bar, where p*(x) = Np(x)/N-p(x) for p(x) < N and p*(x) = infinity for p(x) >= N. We establish C1, a regularity of weak solutions of the problem and strong comparison principle. Based on these two results, we prove the existence of multiple (at least two) positive solutions for a certain range of lambda.olutions for a certain range of λ. | - |
dc.identifier.bibliographicCitation | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v.56, no.3, pp.76 | - |
dc.identifier.doi | 10.1007/s00526-017-1152-6 | - |
dc.identifier.issn | 0944-2669 | - |
dc.identifier.scopusid | 2-s2.0-85018430696 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/21968 | - |
dc.identifier.url | https://link.springer.com/article/10.1007%2Fs00526-017-1152-6 | - |
dc.identifier.wosid | 000402817100021 | - |
dc.language | 영어 | - |
dc.publisher | SPRINGER | - |
dc.title | Global C1 , α regularity and existence of multiple solutions for singular p(x)-Laplacian equations | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied; Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordPlus | ELLIPTIC PROBLEMS | - |
dc.subject.keywordPlus | CONVEX NONLINEARITIES | - |
dc.subject.keywordPlus | CONCAVE | - |
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