Weak solutions of quasilinear elliptic PDE's at resonance (Q1130241)

The authors study a class of variational quasilinear elliptic PDE's with resonance at infinity. The proof of their existence results are based on a new generalization to continuous functionals of the saddle point theorem and of a multiplicity result. The paper is self-contained because the basic definitions and tools are introduced and the present results are compared to ones given in the literature earlier.