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Multiple solutions for some elliptic equations with a nonlinearity concave at the origin

✍ 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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✦ Synopsis


In this paper we establish the existence of multiple solutions for the semilinear elliptic problem

where Ξ© βŠ‚ R N is a bounded domain with smooth boundary βˆ‚Ξ© , 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 ∈ R, and 1 < q < 2.


πŸ“œ SIMILAR VOLUMES


Multiple positive solutions for a critic
✍ Tsing-San Hsu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 629 KB

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.

Multiple positive solutions for -Laplace
✍ Li Wang; Qiaoling Wei; Dongsheng Kang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 278 KB

where Ω βŠ‚ R N is a bounded domain such that 0 ∈ Ω, 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