This paper focuses on the existence and the multiplicity of classical radially symmetric solutions on balls of the mean curvature equation in the presence of one or more couples of sub- and super-solutions, satisfying or not satisfying the standard ordering condition. The novel assumptions introduced allow us to complement or improve various results in the literature.

Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation

Franco Obersnel;Pierpaolo Omari
2020-01-01

Abstract

This paper focuses on the existence and the multiplicity of classical radially symmetric solutions on balls of the mean curvature equation in the presence of one or more couples of sub- and super-solutions, satisfying or not satisfying the standard ordering condition. The novel assumptions introduced allow us to complement or improve various results in the literature.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2973968
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