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Symmetry results for solutions of semilinear elliptic equations with convex nonlinearities

โœ Scribed by Pacella F.

Book ID
127404376
Tongue
English
Weight
176 KB
Category
Library

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๐Ÿ“œ SIMILAR VOLUMES

Symmetry Results for Solutions of Semili
Symmetry Results for Solutions of Semilinear Elliptic Equations with Convex Nonlinearities
โœ Filomena Pacella ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 135 KB

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 ร‚ 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

Symmetry results for semilinear elliptic
Symmetry results for semilinear elliptic equations in R2
โœ Y. Naito ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 330 KB

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.