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Existence and multiplicity results for a weighted \(p\)-Laplace equation involving Hardy potentials and critical nonlinearities - MaRDI portal

Existence and multiplicity results for a weighted \(p\)-Laplace equation involving Hardy potentials and critical nonlinearities (Q2390612)

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Existence and multiplicity results for a weighted \(p\)-Laplace equation involving Hardy potentials and critical nonlinearities
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    Existence and multiplicity results for a weighted \(p\)-Laplace equation involving Hardy potentials and critical nonlinearities (English)
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    31 July 2009
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    Summary: We study a class of elliptic problems involving weighted \(p\)-Laplace operators, critical growths and Hardy potentials. The main motivation lies in some Hardy-Sobolev type inequalities that were proved by Caffarelli-Kohn-Nirenberg in 1984.
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    variational methods
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    critical growth
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    weighted \(L^{p}\)-Laplace operator
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    Hardy inequalities
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    Caffarelli-Kohn-Nirenberg inequalities
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    breaking symmetry
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