一类带Neumann问题的非线性Allen-Cahn方程周期解的存在性

Al-Qadisiyah Journal Of Pure Science Pub Date : 2020-12-13 DOI:10.29350/QJPS.2021.26.1.1248

Wafaa M. Taha, Raad A. Hameed, Sarah Majeed Talab

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引用次数: 2

摘要

研究了一类具有孤立Neumann问题的非线性扩散Allen-Cahn方程的周期解。采用Leray-Schauder不动点度理论，利用拓扑度理论研究了具有孤立Neumann问题的非线性扩散Allen-Cahn方程存在非平凡周期解。

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Existence of periodic solutions of a nonlinear Allen-Cahn equation with Neumann problem

This research investigated the periodic solutions to a nonlinear diffusion Allen-Cahn equation with isolated Neumann problem. The theory of Leray-Schauder fixed point degree was adopted and the study showed that there exist nontrivial periodic solutions to the nonlinear diffusion Allen-Cahn equation with isolated Neumann problem by the topological degree theory.

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Al-Qadisiyah Journal Of Pure Science

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