A Non-Existence Result for a Generalized Radial Brezis-Nirenberg Problem
classification
🧮 math.AP
keywords
estimatesgeneralizedmethodproblemargumentbetterboundedbrezis--nirenberg
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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. The estimates we get are better than the usual estimates for low dimensions.
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