%0 Journal Article
%T Existence and Multiplicity of Solutions for Noncoercive Neumann Problems with p-Laplacian
%A Gasiński, Leszek
%A Papageorgiou, Nikolaos S.
%J Schedae Informaticae
%V 2012
%R 10.4467/20838476SI.12.002.0812
%N Volume 21
%P 27-40
%K Palais-Smale condition, noncoercive functional, second deformation theorem
%@ 1732-3916
%D 2012
%U https://ejournals.eu/en/journal/schedae-informaticae/article/existence-and-multiplicity-of-solutions-for-noncoercive-neumann-problems-with-p-laplacian
%X 
	We consider a nonlinear Neumann elliptic equation driven by the p-Laplacian and a Carathéodory perturbation. The energy functional of the problem need not be coercive. Using variational methods we prove an existence theorem and a multiplicity theorem, producing two nontrivial smooth solutions. Our formulation incorporates strongly resonant equations..