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Nonexistence result of nontrivial solutions to the equation −Δu=f(u)
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-12-21 , DOI: 10.1080/17476933.2020.1825397 Salvador López-Martínez 1 , Alexis Molino 2
中文翻译:
方程 -Δu=f(u) 的非平凡解的不存在结果
更新日期:2020-12-21
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-12-21 , DOI: 10.1080/17476933.2020.1825397 Salvador López-Martínez 1 , Alexis Molino 2
Affiliation
In this paper we prove the nonexistence of nontrivial solutions to with () a bounded domain and f locally Lispchitz with nonpositive primitive. As a consequence, we discuss the long-time behavior of solutions to the so-called sine-Gordon equation.
中文翻译:
方程 -Δu=f(u) 的非平凡解的不存在结果
在本文中,我们证明了非平凡解的不存在性和() 一个有界域和f局部 Lispchitz 与非正原语。因此,我们讨论了所谓的正弦-戈登方程解的长期行为。