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Nontrivial solutions for some singular critical growth semilinear elliptic equations

✍ Scribed by Xiaoming He; Wenming Zou

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
351 KB
Volume
68
Category
Article
ISSN
0362-546X

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✦ Synopsis

Let Ω be a bounded domain in R N (N β‰₯ 5) with smooth boundary βˆ‚β„¦ and the origin 0

is a bounded positive function on Ξ© . We prove the existence results for nontrivial solutions to the Dirichlet problem

  • Ξ»u in Ω , u = 0 on βˆ‚β„¦ , for suitable numbers Β΅ and Ξ».

πŸ“œ SIMILAR VOLUMES

Multiple nontrivial solutions for some f
Multiple nontrivial solutions for some fourth-order semilinear elliptic problems
✍ Jihui Zhang; Shujie Li πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 181 KB

In this paper, we consider the existence of multiple nontrivial solutions for some fourth order semilinear elliptic boundary value problems. The weak solutions are sought by means of Morse theory and local linking.

On a semilinear elliptic equation with s
On a semilinear elliptic equation with singular term and Hardy–Sobolev critical growth
✍ Jianqing Chen πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 175 KB

## Abstract In a previous work [6], we got an exact local behavior to the positive solutions of an elliptic equation. With the help of this exact local behavior, we obtain in this paper the existence of solutions of an equation with Hardy–Sobolev critical growth and singular term by using variation