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Existence and multiplicity results for quasilinear hemivariational inequalities at resonance
Author(s) -
Gasiński Leszek
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510710
Subject(s) - mathematics , multiplicity (mathematics) , lipschitz continuity , mathematical proof , inequality , mathematical analysis , pure mathematics , geometry
In this paper we consider quasilinear hemivariational inequality at resonance. We prove existence results for strongly resonant quasilinear problem, resonant problem under a Tang‐type condition as well as two multiplicity results. The method of the proofs is based on the nonsmooth critical point theory for locally Lipschitz functions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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