Effect of symmetry to the structure of positive solutions in nonlinear elliptic problems, III
SCIE
SCOPUS
- Title
- Effect of symmetry to the structure of positive solutions in nonlinear elliptic problems, III
- Authors
- Byeon, JY
- Date Issued
- 2002-06
- Publisher
- IOS PRESS
- Abstract
- We consider the problem: Deltau+u(p)=0 in Omega(R), u=0 on partial derivativeOmega(R), u>0 in Omega(R), where Omega(R)equivalent to{xis an element ofR(N)|R-1<\x\SN-1 was showed for large R. In this paper, it will be showed that more various types of solutions than those obtained in [5], which are close to a finite sum of locally minimal energy solutions in H-R(G) for some Gsubset ofO(N), appear as R-->infinity. Furthermore, we discuss possible types of solutions and show that any solution with exactly two local maximum points should be O(N-1)-symmetric for large R>0.
- Keywords
- nonlinear elliptic; symmetry; group actions; orbits; PRESCRIBING SCALAR CURVATURE; SEMILINEAR NEUMANN PROBLEM; RADIAL SOLUTIONS; S-N; EQUATIONS; EXISTENCE; DOMAINS; UNIQUENESS; ANNULI; COMPACTNESS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29807
- ISSN
- 0921-7134
- Article Type
- Article
- Citation
- ASYMPTOTIC ANALYSIS, vol. 30, no. 39876, page. 249 - 272, 2002-06
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