Abstract
We consider nonlinear Neumann problems driven by p-Laplacian-type operators which are not homogeneous in general. We prove an existence and a multiplicity result for such problems. In the existence theorem, we assume that the right hand side nonlinearity is p-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. In the multiplicity result, when specialized to the case of the p-Laplacian, we allow strong resonance at infinity and resonance at 0.
Keywords: p-Laplacian-type equation; p-superlinear problem; Cerami condition; local linking; second deformation theorem
Published Online: 2016-03-10
Published in Print: 2008-11-01
© 2016 by Advanced Nonlinear Studies, Inc.
