Existence of infinitely many solutions for sublinear elliptic problems

Let N 2 and Ω ⊂ RN be a bounded domain. In the present paper, we show the existence of infinity many solutions of nonlinear Dirichlet boundary value problem −Δu = g(x,u), u ∈ H1 0 (Ω), where g :Ω ×R→R is a continuous function satisfying lim|t|→0 g(x, t)/t→∞for all x ∈Ω.  2003 Elsevier Science (USA). All rights reserved