Jiabao Su

Existence and multiplicity results for Dirichlet problems with p-Laplacian

In this paper we apply Morse theory to study the existence of nontrivial solutions of p-Laplacian type Dirichlet boundary value problems.

Multiplicity results for asymptotically linear elliptic problems at resonance

In this paper several new multiplicity results for asymptotically linear elliptic problem at resonance are obtained via Morse theory and minimax methods. Some new observations on the critical groups of a local linking-type critical point are used to deal with the resonance case at 0.

Existence and multiplicity results for classes of elliptic resonant problems

In this paper we prove some new existence results of nontrivial solutions for classes of elliptic resonant problems. We also establish several multiplicity results. The methods used here are based on combining the minimax methods and the Morse theory especially some new observations on the critical groups of a local linking-type degenerate critical point.