A remark on the existence of explosive solutions for a class of semilinear elliptic equations
โ Scribed by Zhijun Zhang
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 68 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
The existence and multiplicity results are obtained for solutions of a class of the Dirichlet problem for semilinear elliptic equations by the least action principle and the minimax methods, respectively.
In this paper, some new existence theorems of weak solutions for a class of semilinear elliptic systems are obtained by means of the local linking theorem and the saddle point theorem.
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