A Wiener estimate for relaxed Dirichlet problems in dimension $N\geq 2$

Adriana Garroni

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A Wiener estimate for relaxed Dirichlet problems in dimension $N\geq 2$

Adriana Garroni

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Abstract

We prove a Wiener energy estimate for relaxed Dirichlet problems $Lu + μu =ν$ in $Ω$, with $L$ an uniformly elliptic operator with bounded coefficients, $μ$ a measure of ${\cal M}_0(Ω)$, $ν$ a Kato measure and $Ω$ a bounded open set of ${\bf R}^N$, $N \geq 2$. Choosing a particular $μ$, we obtain an energy estimate also for classical variational Dirichlet problems.

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Adriana Garroni. 1993-03-26. A Wiener estimate for relaxed Dirichlet problems in dimension $N\geq 2$. https://arxiv.org/abs/funct-an/9303003

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