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Existence of multiple radial solutions for nonlinear equation involving the mean curvature operator in Lorentz-Minkowski space by Zelati, Vittorio Coti; Dong, Xu; Wei, Yuanhong is a scholarly article available to read on EtoBox.

What is Existence of multiple radial solutions for nonlinear equation involving the mean curvature operator in Lorentz-Minkowski space about?

We prove existence of multiple radial solutions to the Dirichlet problem for nonlinear equations involving the mean curvature operator in Lorentz-Minkowski space and a nonlinear term of concave-convex type. Solutions are found using Szulkin's critical point theory for non-smooth functional. Multiplicity results are also given for some cases in which the nonlinearity depends also on the gradient of the solution.

Author

Zelati, Vittorio Coti; Dong, Xu; Wei, Yuanhong

Published

2024

Language

EN