On Multiplicity of Solutions to Semilinear Elliptic Equations Involving General Subcritical Growth
-
Key words:
- Dirchlet problem,Morse theory,local linking,multiple solutions /
- /
- /
Abstract: The following semilinear elliptic equations with Dirichlet boundary value conditions - Δu = f (x ,u) x ∈ Ω u = 0 x ∈ ?Ω has been studied in this paper .Under certain assumptions on nonlinear f with more general subcritical grow th conditions ,some new multiplicity results of nontrivial solutions are established via morse theory and local linking .