Nonlinear elliptic problems on singularly perturbed domains
SCIE
SCOPUS
- Title
- Nonlinear elliptic problems on singularly perturbed domains
- Authors
- Byeon, J
- Date Issued
- 2001-01
- Publisher
- ROYAL SOC EDINBURGH
- Abstract
- We consider how the shape of a domain affects the number of positive solutions of a nonlinear elliptic problem. In fact, we show that if a bounded domain Omega is sufficiently close to a union of disjoint bounded domains Omega (1),...,Omega (m), the number of positive solutions of a nonlinear elliptic problem on Omega is at least 2(m) - 1.
- Keywords
- POSITIVE SOLUTIONS; EXISTENCE; EQUATIONS; NUMBER; SHAPE
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/20958
- DOI
- 10.1017/S0308210500001256
- ISSN
- 0308-2105
- Article Type
- Article
- Citation
- PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, vol. 131, page. 1023 - 1037, 2001-01
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