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

2014/10/31 by Marco Ghimenti, Ghimenti, Marco G., Anna Maria Micheletti +1
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1410.8841

Abstract

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

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