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Quasilinear systems involving multiple critical exponents and potentials - MaRDI portal

Quasilinear systems involving multiple critical exponents and potentials (Q1951393)

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scientific article; zbMATH DE number 6171020
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Quasilinear systems involving multiple critical exponents and potentials
scientific article; zbMATH DE number 6171020

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    Quasilinear systems involving multiple critical exponents and potentials (English)
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    6 June 2013
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    This paper is concerned with a quasilinear elliptic system in a smooth and bounded domain. The differential operator is given by a linear combination of the \(p\)-Laplace elliptic operator and a \(p\)-Hardy term. Using both variational methods and analytic techniques, the author establishes the existence of at least one non-trivial solution.
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    quasilinear elliptic system
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    Hardy term
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    Hardy-Sobolev inequality
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    variational methods
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