Abstract
In this paper we study the existence of time periodic solutions to a class of nonlinear parabolic equations with multivalued nonlinear terms subject to the homogeneous Dirichlet boundary condition. We give two types of existence results: one for large periodic solutions with any large data, and the other for small periodic solutions with small data. Both concern the case where the nonlinear terms contain either a upper semicontinuous multivalued term or a lower semicontinuous multivalued term. Some applications of our results are also given.
Citation
Mitsuharu Ôtani. Vasile Staicu. "On time-periodic solutions of some nonlinear parabolic equations with nonmonotone multivalued terms." Topol. Methods Nonlinear Anal. 54 (2B) 1075 - 1092, 2019. https://doi.org/10.12775/TMNA.2019.092
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