A Non-Existence Result for a Generalized Radial Brezis-Nirenberg Problem

Authors :: Benguria, Rafael D.
Benguria, Soledad
Publication Year :: 2019
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.<br />Comment: 12 pages