Supercritical problems in domains with thin toroidal holes
- Title
- Supercritical problems in domains with thin toroidal holes
- Author
- 김승혁
- Keywords
- Supercritical problem; concentration on l-dimensional manifolds
- Issue Date
- 2014-11
- Publisher
- AMER INST MATHEMATICAL SCIENCES, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
- Citation
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 권: 34, 호: 11, 페이지: 4671-4688
- Abstract
- In this paper we study the Lane-Emden-Fowler equation (P)(epsilon) {(Delta)u+vertical bar u vertical bar(q-2) u = 0 in D-epsilon,D- u = 0 on partial derivative D-epsilon. Here D-c = D\ {x epsilon D : dist (x, Gamma(l) ) <= epsilon }, D is a smooth bounded domain in R-N, Gamma(l) is an l-dimensional closed manifold such that Gamma l subset of D with 1 <= l <= N - 3 and q = 2(N - l)/ N-l-2. We prove that, under some symmetry assumptions, the number of sign changing solutions to (P)(epsilon), increases as goes to zero.
- URI
- https://arxiv.org/abs/1306.0099http://hdl.handle.net/20.500.11754/51571
- ISSN
- 1078-0947; 1553-5231
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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