Multiple solutions for some elliptic equations with a nonlinearity concave at the origin
β Scribed by Francisco Odair de Paiva; Eugenio Massa
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 158 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
In this paper we establish the existence of multiple solutions for the semilinear elliptic problem
where Ξ© β R N is a bounded domain with smooth boundary βΞ© , g : R β R is a function of class C 1 such that g(0) = g (0) = 0, Ξ» > 0 is a real parameter, a β R, and 1 < q < 2.
π SIMILAR VOLUMES
In this paper, we consider a quasilinear elliptic system with both concave-convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.
where β¦ β R N is a bounded domain such that 0 β β¦, 1 < q < p, Ξ» > 0, Β΅ < ΞΌ, f and g are nonnegative functions, ΞΌ = ( N-p p ) p is the best Hardy constant and p \* = Np N-p is the critical Sobolev exponent. By extracting the Palais-Smale sequence in the Nehari manifold, the existence of multiple posi