A Non-Existence Result for a Generalized Radial Brezis-Nirenberg Problem
Analysis of PDEs
2019-01-30 v1
Abstract
We develop a new method for estimating the region of the spectral parameter of a generalized Brezis--Nirenberg problem for which there are no, non trivial, smooth solutions. This new method combines the standard Rellich--Pohozaev argument with a Hardy type inequality for bounded domains. The estimates we get are better than the usual estimates for low dimensions.
Keywords
Cite
@article{arxiv.1901.09958,
title = {A Non-Existence Result for a Generalized Radial Brezis-Nirenberg Problem},
author = {Rafael D. Benguria and Soledad Benguria},
journal= {arXiv preprint arXiv:1901.09958},
year = {2019}
}
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12 pages