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math.AP2023★ 2 cited
Method of scaling spheres: Liouville theorems in inner or outer (unbounded or bounded) generalized radially convex domains, blowing-up analysis on domains with not necessarily boundary and other applications
Wei Dai, Guolin Qin
In this paper, we aim to introduce the method of scaling spheres (MSS) as a unified approach to Liouville theorems on general domains in , and apply it to establish Li…
math.AP2023★ 1 cited
Slow traveling-wave solutions for the generalized surface quasi-geostrophic equation
Daomin Cao, Shanfa Lai, Guolin Qin
In this paper, we systematically study the existence, asymptotic behaviors, uniqueness, and nonlinear orbital stability of traveling-wave solutions with small propagation speeds fo…