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arXiv · 2409.11039

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

Vittorio Coti Zelati·Xu Dong·Yuanhong Wei
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Abstract

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.

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Vittorio Coti Zelati, Xu Dong, Yuanhong Wei. 2024-09-17. Existence of multiple radial solutions for nonlinear equation involving the mean curvature operator in Lorentz-Minkowski space. https://arxiv.org/abs/2409.11039

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