It is proved that the singular semilinear elliptic equation yโฌu s p x g u , ลฝ . n ลฝ . 1 ลฝลฝ . ลฝ .. lim g s s qฯฑ, and g g C 0, ฯฑ , 0, ฯฑ which is s ยช 0 ลฝ . 2qโฃ ลฝ n . strictly decreasing in 0, ฯฑ , has a unique positive C R solution that decays to l o c ฯฑ ลฝ . ลฝ . ลฝ . zero near ฯฑ provided H t t dt -ฯฑ, w
A remark on the existence of positive entire solutions of a sublinear elliptic problem
โ Scribed by Zhijun Zhang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 158 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
## Let be an arbitrary domain of R N and let be a nonnegative locally bounded Borel function on . In this paper, necessary and su cient conditions are obtained for the existence of a nonnegative nontrivial bounded solution to the sublinear elliptic equation u = (x)u in where 0 ยก 6 1. The special c
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