The aim of this Ph.D. thesis is to present some recent results concerning nonlin- ear elliptic equations involving spherical and cylindrical weights. In particular, we address our interest in problems related to some integral inequalities in weighted Sobolev spaces. One of the most known is the Caffarelli-Kohn-Nirenberg inequality proved in 1984 in the celebrated paper [22] (see also Chapter 2). Here we state it in a particular case.
Nonlinear elliptic problems related to some integral inequalities
Gazzini, Marita
2008
Abstract
The aim of this Ph.D. thesis is to present some recent results concerning nonlin- ear elliptic equations involving spherical and cylindrical weights. In particular, we address our interest in problems related to some integral inequalities in weighted Sobolev spaces. One of the most known is the Caffarelli-Kohn-Nirenberg inequality proved in 1984 in the celebrated paper [22] (see also Chapter 2). Here we state it in a particular case.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.14242/123278
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URN:NBN:IT:SISSA-123278