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

- Journal title : Journal of the Korean Mathematical Society
- Volume 46, Issue 4, 2009, pp.691-699
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2009.46.4.691

Title & Authors

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

Kim, Wan-Se;

Kim, Wan-Se;

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;

Language

English

Cited by

1.

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