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http://dx.doi.org/10.4134/JKMS.2009.46.4.691

EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH SUBLINEAR GROWTH NONLINEARITIES  

Kim, Wan-Se (DEPARTMENT OF MATHEMATICS HANYANG UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.4, 2009 , pp. 691-699 More about this Journal
Abstract
In this paper, we establish a multiple existence result of T-periodic solutions for the semilinear parabolic boundary value problem with sublinear growth nonlinearities. We adapt sub-supersolution scheme and topological argument based on variational structure of functionals.
Keywords
multiplicity; periodic solutions; semilinear parabolic equations; sublinear nonlinearity;
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