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

Published 31 Oct 2014 in math.AP | (1410.8841v2)

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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