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arXiv · 1806.06048

Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions

Alberto Boscaggin·Francesca Colasuonno·Benedetta Noris
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Abstract

We analyze existence, multiplicity and oscillatory behavior of positive radial solutions to a class of quasilinear equations governed by the Lorentz-Minkowski mean curvature operator. The equation is set in a ball or an annulus of $\mathbb R^N$, is subject to homogeneous Neumann boundary conditions, and involves a nonlinear term on which we do not impose any growth condition at infinity. The main tool that we use is the shooting method for ODEs.

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Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris. 2018-06-15. Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions. https://arxiv.org/abs/1806.06048

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