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arXiv · 1410.8841

Construction of solutions for a nonlinear elliptic problem on Riemannian manifolds with boundary

Marco G. Ghimenti·Anna Maria Micheletti
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Abstract

Let (M,g) be a smooth compact, n dimensional Riemannian manifold,with smooth n-1 dimensional boundary. We prove that the stable critical points of the mean curvature of the boundary generates solutions for a singularly perturbed elliptic problem with Neumann boundary conditions .

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Marco G. Ghimenti, Anna Maria Micheletti. 2014-10-31. Construction of solutions for a nonlinear elliptic problem on Riemannian manifolds with boundary. https://arxiv.org/abs/1410.8841

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