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Multiplicity Results for Some Nonlinear Elliptic Equations

✍ Scribed by Antonio Ambrosetti; Jesus Garcia Azorero; Ireneo Peral

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
785 KB
Volume
137
Category
Article
ISSN
0022-1236

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✦ Synopsis

This paper deals with the existence of multiple solutions for some classes of nonlinear elliptic Dirichlet boundary value problems. The interplay of convex and concave nonlinearities is studied both for second order equations and for problems involving the p-Laplacian. The bifurcation of positive solutions for some quasilinear eigenvalue problems is also discussed.

πŸ“œ SIMILAR VOLUMES

Multiple solutions for some elliptic equ
Multiple solutions for some elliptic equations with a nonlinearity concave at the origin
✍ Francisco Odair de Paiva; Eugenio Massa πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 158 KB

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.