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https://doi.org/10.1016/j.jde.2023.03.027
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Cite Journal: Journal of Differential Equations |  Publication Date: Mar 27, 2023 |
Affiliation: Universidade Federal de Campina Grande
In this paper we use variational methods to establish the existence of heteroclinic solution for the prescribed mean curvature equation of the form−(q′1+(q′)2)′+a(t)V′(q)=0inR, where V is a double-well potential with minima at t=±α and a∈L∞(R) is an even non-negative function with 0<a0:=inft≥Ma(t) for some M>0.
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