We are concerned with the uniqueness and existence of positive solutions for the following Dirichlet
Existence of solutions for some semilinear elliptic systems with singular coefficients
โ Scribed by Marcos Montenegro
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 145 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1468-1218
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โฆ Synopsis
M. Montenegro).
๐ SIMILAR VOLUMES
Let N 7, 2 \* =2N/(N -2) and โ R N be a bounded domain with a smooth boundary j and a : -โ R is a continuous mapping. In this paper we consider the existence and multiplicity of positive solutions of Dirichlet boundary value problem of the form -%(a(y)%u) = |u| 2 \* -2 u, u โ H 1 0 ( ).
Let โฆ be a bounded domain in R N (N โฅ 5) with smooth boundary โโฆ 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 โฆ , u = 0 on โโฆ , for suitable numbers ยต and ฮป.
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.