Four positive solutions for a semilinear elliptic equation involving concave and convex nonlinearities
β Scribed by Tsung-fang Wu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 788 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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.
In this paper, we study the symmetry properties of the solutions of the semilinear elliptic problem ( where O is a bounded symmetric domain in R N , N 52, and f : O Γ R ! R is a continuous function of class C 1 in the second variable, g is continuous and f and g are somehow symmetric in x. Our main