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

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

1993-03-26

arxiv.org/abs/funct-an/9303003v1

Mathematics

Functional Analysis

21 pages

Scientific paper

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

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