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http://dx.doi.org/10.4134/BKMS.2011.48.1.213

MULTIPLE PERIODIC SOLUTIONS FOR EIGENVALUE PROBLEMS WITH A p-LAPLACIAN AND NON-SMOOTH POTENTIAL  

Zhang, Guoqing (COLLEGE OF SCIENCES UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY)
Liu, Sanyang (COLLEGE OF SCIENCES XIDIAN UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.1, 2011 , pp. 213-221 More about this Journal
Abstract
In this paper, we establish a multiple critical points theorem for a one-parameter family of non-smooth functionals. The obtained result is then exploited to prove a multiplicity result for a class of periodic eigenvalue problems driven by the p-Laplacian and with a non-smooth potential. Under suitable assumptions, we locate an open subinterval of the eigenvalue.
Keywords
multiple periodic solutions; critical points of non-smooth functionals; eigenvalue problems; p-Laplacian;
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