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Heteroclinic solutions of the prescribed curvature equation with a double-well potential. (English) Zbl 1313.34132

The existence of heteroclinic solutions of the prescribed curvature equation with a double-well potential is proven. Besides other things, numerical simulations made by A. Kurganov and P. Rosenau in [Nonlinearity 19, No. 1, 171–193 (2006; Zbl 1094.35063)] are justified in this way.

MSC:

34C37 Homoclinic and heteroclinic solutions to ordinary differential equations
37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010)

Citations:

Zbl 1094.35063
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