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arxiv: 0803.1783 · v1 · submitted 2008-03-12 · 🧮 math.AP

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

classification 🧮 math.AP
keywords omegacomparableellipticmeasurepartialrenormalizedsolutionsuniqueness
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We give a partial uniqueness result concerning comparable renormalized solutions of the nonlinear elliptic problem $-\diw(\aop(x,Du))=\mu$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\mu$ is a Radon measure with bounded variation on $\Omega$.

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