๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Positive solutions for some singular critical growth nonlinear elliptic equations

โœ Scribed by Daomin Cao; Xiaoming He; Shuangjic Peng

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
289 KB
Volume
60
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Nontrivial solutions for some singular c
Nontrivial solutions for some singular critical growth semilinear elliptic equations
โœ Xiaoming He; Wenming Zou ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 351 KB

Let โ„ฆ be a bounded domain in R N (N โ‰ฅ 5) with smooth boundary โˆ‚โ„ฆ and the origin 0 is a bounded positive function on ฮฉ . We prove the existence results for nontrivial solutions to the Dirichlet problem + ฮปu in โ„ฆ , u = 0 on โˆ‚โ„ฆ , for suitable numbers ยต and ฮป.

Existence of entire positive solutions f
Existence of entire positive solutions for a critical system of nonlinear elliptic equations
โœ Samira Benmouloud; Rachid Echarghaoui; Si. Mohammed Sbaรฏ ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

In this paper, using the fibering method introduced by Pohozaev, we establish an existence of multiple nontrivial positive solutions for a system of nonlinear elliptic equations in R N with lack of compactness studying the properties of Palais-Smale sequence of the energy functional associated with