Nontrivial boundary structure in a Neumann problem on balls with radii tending to infinity
Analysis of PDEs
2019-09-24 v1
Abstract
This note introduces a class of nonlinear Neumann problems on balls expanding with the radii tending towards infinity. Performing singular perturbation arguments, we establish the corresponding concentration phenomenon and refined asymptotic expansions with the precise first two order terms. In doing so, we obtain the nontrivial boundary structure of solutions with effects coming from the nonlinear Neumann boundary condition and the boundary mean curvature varied with expanding domains.
Keywords
Cite
@article{arxiv.1909.10269,
title = {Nontrivial boundary structure in a Neumann problem on balls with radii tending to infinity},
author = {Chiun-Chang Lee},
journal= {arXiv preprint arXiv:1909.10269},
year = {2019}
}
Comments
Under consideration for publication in Annali di Matematica Pura ed Applicata