BooksecrCollected Volumepp. 1–15

A non-existence result for a generalized radial Brezis–Nirenberg problem

  • Rafael D. Benguria

    Pontificia Universidad Católica de Chile, Santiago de Chile, Chile

  • Soledad Benguria

    University of Wisconsin, Madison, USA
A non-existence result for a generalized radial Brezis–Nirenberg problem cover
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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.