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Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems

โœ Scribed by Shangbin Cui

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
186 KB
Volume
41
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Existence and Nonexistence of Entire Pos
Existence and Nonexistence of Entire Positive Solutions of Semilinear Elliptic Systems
โœ Xuefeng Wang; Aihua W. Wood ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 80 KB

We show that entire positive solutions exist for the semilinear elliptic system u = p x v ฮฑ , v = q x u ฮฒ on R N , N โ‰ฅ 3, for positive ฮฑ and ฮฒ, provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail

Inheritance of symmetry for positive sol
Inheritance of symmetry for positive solutions of semilinear elliptic boundary value problems
โœ Bernd Kawohl; Guido Sweers ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 203 KB

The paper addresses symmetry results for positive solutions of semilinear elliptic differential equations on a class of non-convex symmetrical domains. An example in two dimensions is the star of David. The moving plane method just shows that solutions coincide on three alternate corners of the star