A non-existence result for a generalized radial Brezis–Nirenberg problem
Rafael D. BenguriaPontificia Universidad Católica de Chile, Santiago de Chile, Chile
Soledad BenguriaUniversity of Wisconsin, Madison, USA
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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.