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On the uniqueness problem for quasilinear elliptic equations involving measures - MaRDI portal

On the uniqueness problem for quasilinear elliptic equations involving measures (Q1923686)

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scientific article; zbMATH DE number 933291
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On the uniqueness problem for quasilinear elliptic equations involving measures
scientific article; zbMATH DE number 933291

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    On the uniqueness problem for quasilinear elliptic equations involving measures (English)
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    23 March 1997
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    Summary: We discuss the uniqueness of solutions to problems like \[ \lambda|u|^{s-1}u-\text{div} (|\nabla u|^{p-2}\nabla u)=\mu \quad\text{in }\Omega, \qquad u=0\quad\text{on }\partial\Omega, \] where \(\lambda\geq0\) and \(\mu\) is a signed Radon measure.
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    \(p\)-capacity
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    signed Radon measure
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