The existence of solutions for a class of semilinear elliptic systems
โ Scribed by Shengzhong Duan; Xian Wu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 342 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
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.
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.
We prove the uniqueness of the positive radially symmetric solution to the following problem: where p i > 0 (i = 1, 2, 3) and B 1 is the unit ball in R n .
We are concerned with the uniqueness and existence of positive solutions for the following Dirichlet