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Oscillating solutions for prescribed mean curvature equations: Euclidean and Lorentz-Minkowski cases by Pomponio, Alessio is a scholarly article available to read on EtoBox.

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This paper deals with the prescribed mean curvature equations both in the Euclidean case and in the Lorentz-Minkowski case in presence of a nonlinearity $g$ such that $g'(0)>0$. We show the existence of oscillating solutions, namely with an unbounded sequence of zeros. We show the existence of oscillating solutions, namely with an unbounded sequence of zeros. Moreover these solutions are periodic, if $N=1$, while they are radial symmetric and decay to zero at infinity with their derivatives, if $N\ge 2$.

Author

Pomponio, Alessio

Published

2017

Language

EN