Journal of the
Korean Mathematical Society
JKMS
ISSN(Print) 0304-9914
ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2009; 46(4): 691-699
Printed July 1, 2009
https://doi.org/10.4134/JKMS.2009.46.4.691
Copyright © The Korean Mathematical Society.
Existence of multiple periodic solutions for semilinear parabolic equations with sublinear growth nonlinearities
Wan Se Kim
Hanyang University
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
MSC numbers: 35K20, 35K55
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