In this paper, we study the symmetry properties of the solutions of the semilinear elliptic problem ( where O is a bounded symmetric domain in R N , N 52, and f : O Γ R ! R is a continuous function of class C 1 in the second variable, g is continuous and f and g are somehow symmetric in x. Our main
β¦ LIBER β¦
Symmetry results for semilinear elliptic equations in R2
β Scribed by Y. Naito
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 330 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
Symmetry properties of solutions of the equations (\Delta u+V(|x|) e^{u}=0) in (\mathbf{R}^{2}) are considered. We employ the moving plane method based on the maximum principle in unbounded domains to obtain the results on symmetry.
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