Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 김승혁 | - |
dc.date.accessioned | 2018-03-09T08:30:00Z | - |
dc.date.available | 2018-03-09T08:30:00Z | - |
dc.date.issued | 2013-10 | - |
dc.identifier.citation | Journal of Differential Equations, 2013, 255(8), P.2302-2339 | en_US |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | https://ac.els-cdn.com/S0022039613002544/1-s2.0-S0022039613002544-main.pdf?_tid=6cb9c75d-0131-4ba3-af04-f80db874cd12&acdnat=1520340921_f646558d8917d9f262d167b7ad683229 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11754/44489 | - |
dc.description.abstract | We consider the supercritical problem-Delta u = vertical bar u vertical bar(p-1)u in D, u = 0 on partial derivative D,where D is a bounded smooth domain in RN and p is smaller than the kappa-th critical Sobolev exponent 2*(N,kappa) := N-kappa+2/N-kappa-2 with 1 <= kappa <= N - 3. We show that in some suitable torus-like domains D there exists an arbitrary large number of sign-changing solutions with alternate positive and negative layers which concentrate at different rates along a kappa-dimensional submanifold of partial derivative D as p approaches 2*(N,kappa) from below. (C) 2013 Elsevier Inc. All rights reserved. | en_US |
dc.description.sponsorship | The first author is partially supported by TJ Part Doctoral Fellowship funded by POSCO. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier Science B.V., Amsterdam | en_US |
dc.subject | Nonlinear elliptic boundary value problem | en_US |
dc.subject | Supercritical exponents | en_US |
dc.subject | Existence sign changing solutions | en_US |
dc.subject | CRITICAL SOBOLEV EXPONENT | en_US |
dc.subject | SIGN-CHANGING SOLUTIONS | en_US |
dc.subject | ELLIPTIC PROBLEM | en_US |
dc.subject | NONLINEAR PROBLEM | en_US |
dc.subject | PIERCED DOMAINS | en_US |
dc.subject | EQUATIONS | en_US |
dc.title | Boundary towers of layers for some supercritical problems | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.jde.2013.06.017 | - |
dc.relation.journal | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.contributor.googleauthor | Kim, Seunghyeok | - |
dc.contributor.googleauthor | Pistoia, Angela | - |
dc.relation.code | 2013010625 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | shkim0401 | - |
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