Existence of non-trivial nonnegative periodic solutions for a classof degenerate parabolic equations with nonlocal terms

Rui Huang; Yifu Wang; Yuanyuan Ke

doi:10.3934/dcdsb.2005.5.1005

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2005, Volume 5, Issue 4: 1005-1014. Doi: 10.3934/dcdsb.2005.5.1005

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Existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms

1.
Department of Mathematics, Jilin University, 130012 Changchun
2.
Department of Mathematics, Beijing Institute of Technology, 100081 Beijing

Received: October 31, 2004

Revised: March 31, 2005

Published: October 2005

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Abstract

In this paper, we establish the existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms by using the theory of Leray-Schauder's degree.

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Mathematics Subject Classification: 35K57, 35K65, 35B10.

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Existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms

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