Construction of solutions for a nonlinear elliptic problem on Riemannian manifolds with boundary
Analysis of PDEs
2015-12-08 v2
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 .
Keywords
Cite
@article{arxiv.1410.8841,
title = {Construction of solutions for a nonlinear elliptic problem on Riemannian manifolds with boundary},
author = {Marco G. Ghimenti and Anna Maria Micheletti},
journal= {arXiv preprint arXiv:1410.8841},
year = {2015}
}