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arXiv · 0803.1783

Remarks on the uniqueness of comparable renormalized solutions of elliptic equations with measure data

Olivier Guibé
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Abstract

We give a partial uniqueness result concerning comparable renormalized solutions of the nonlinear elliptic problem $-\diw(\aop(x,Du))=μ$ in $Ω$, $u=0$ on $\partialΩ$, where $μ$ is a Radon measure with bounded variation on $Ω$.

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Olivier Guibé. 2008-03-12. Remarks on the uniqueness of comparable renormalized solutions of elliptic equations with measure data. https://doi.org/10.1007/s102310100022

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