On the location of concentration points for singularly perturbed elliptic equations
Analysis of PDEs
2007-05-23 v3
Abstract
By means of a variational identity of Poho\v{z}aev-Pucci-Serrin type for solutions of class recently obtained, we give some necessary conditions for locating the concentration points for a class of quasi-linear elliptic problems in divergence form. More precisely we show that the points where the concentration occurs must be critical, either in a generalized or in the classical sense, for a suitable ground state function.
Cite
@article{arxiv.math/0306287,
title = {On the location of concentration points for singularly perturbed elliptic equations},
author = {Simone Secchi and Marco Squassina},
journal= {arXiv preprint arXiv:math/0306287},
year = {2007}
}
Comments
Final revised version, accepted for publication