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      On multiple positive ground state solutions for a mean curvature equation in Minkowski space

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          Abstract

          In this paper, we show how changes in the sign of nonlinearity leads to multiple radial ground state solutions of the mean curvature equation \( \nabla\cdot \Big[\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\Big] +\lambda f(u)=0\ \ \text{in} \ \mathbb{R}^N \) for sufficiently large \(\lambda\) with \(N\geq 2\).

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          Journal
          30 October 2014
          2015-03-11
          Article
          1410.8345
          b3d559ce-53a4-4ff2-a702-688a763c774b

          http://creativecommons.org/licenses/by/3.0/

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          arXiv admin note: substantial text overlap with arXiv:1305.0704 by other authors
          math.AP

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