A nonexistence result for a nonlinear elliptic equation with singular and decaying potential
Analysis of PDEs
2015-07-17 v1 Classical Analysis and ODEs
Abstract
The paper deals with positive radial solutions to a nonlinear elliptic equation with singular and decaying potential, for which several existence and nonexistence results are known, resting upon suitable compatibility conditions between the decaying rate of the potential and the growth rate of the nonlinearity. The problem of the existence is still open for essentially three cases and we give a negative answer to one of such cases.
Keywords
Cite
@article{arxiv.1303.2146,
title = {A nonexistence result for a nonlinear elliptic equation with singular and decaying potential},
author = {Marino Badiale and Michela Guida and Sergio Rolando},
journal= {arXiv preprint arXiv:1303.2146},
year = {2015}
}