TY - JOUR
TI - Existence and Multiplicity of Solutions for Noncoercive Neumann Problems with p-Laplacian
AU - Gasiński, Leszek
AU - Papageorgiou, Nikolaos S.
TI - Existence and Multiplicity of Solutions for Noncoercive Neumann Problems with p-Laplacian
AB - 
	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..
VL - 2012
IS - Volume 21
PY - 2012
SN - 1732-3916
C1 - 2083-8476
SP - 27
EP - 40
DO - 10.4467/20838476SI.12.002.0812
UR - https://ejournals.eu/en/journal/schedae-informaticae/article/existence-and-multiplicity-of-solutions-for-noncoercive-neumann-problems-with-p-laplacian
KW - Palais-Smale condition
KW - noncoercive functional
KW - second deformation theorem