MULTIPLE SOLUTIONS FOR NONCOERCIVE RESONANT NEUMANN HEMIVARIATIONAL INEQUALITIES

M. FILIPPAKIS; D. O’REGAN; N.  PAPAGEORGIOU3

Title	MULTIPLE SOLUTIONS FOR NONCOERCIVE RESONANT NEUMANN HEMIVARIATIONAL INEQUALITIES
Publication Type	Journal Article
Year of Publication	2009
Authors	FILIPPAKIS, M, O’REGAN, D, PAPAGEORGIOU3, N
Volume	13
Issue	3
Start Page	305
Pagination	12
Date Published	2009
ISSN	1083-2564
AMS	35J20, 35J85
Abstract	In this paper we consider semilinear Neumann problems with a nonsmooth potential. Using variational methods based on the nonsmooth critical point theory, we prove existence and multiplicity theorems. Our framework of analysis incorporates strongly resonant problems and in contrast to earlier works on the subject, the Euler functional of our problem need not be coercive.
URL	http://www.acadsol.eu/en/articles/13/3/3.pdf
Refereed Designation	Refereed
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