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In the present paper, our main purposes are to study nonlinear elliptic equations with strong resonance at infinity. Some existence theorems for nontrivial solutions are obtained by using some nonsmooth critical point theorems in [N. C. Kourogenis, N. S. Papageorgiou, Nonsmooth critical point theory and Nonlinear elliptic equations at resonance, J. Austral. Math Soc. (Ser. A) 69 (2000) 245–271]. The...
In the present paper, a new critical point theorem for locally Lipschitz functions is given, and as applications, one existence and two multiplicity results for zero boundary value problems are obtained. Several important classical theorems are improved.
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