@article{cbc2584c-677b-4a50-ab4a-4983a339c7c5, author = {Leszek Gasiński, Nikolaos S. Papageorgiou}, title = {Existence and Multiplicity of Solutions for Noncoercive Neumann Problems with p-Laplacian}, journal = {Schedae Informaticae}, volume = {2012}, number = {Volume 21}, year = {2012}, issn = {1732-3916}, pages = {27-40},keywords = {Palais-Smale condition; noncoercive functional; second deformation theorem}, abstract = {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..}, doi = {10.4467/20838476SI.12.002.0812}, url = {https://ejournals.eu/en/journal/schedae-informaticae/article/existence-and-multiplicity-of-solutions-for-noncoercive-neumann-problems-with-p-laplacian} }