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Pré-Publication, Document De Travail Année : 2012

Existence and stability of solutions of general semilinear elliptic equations with measure data

Résumé

We study existence and stability for solutions of $Lu+g(x; u) = \omega$ in the closure of open set $\Omega$ where L is a second order elliptic operator, $g$ a Caratheodory function and $\omega$ a measure in $\overline\Omega$. We present a uni ed theory of the Dirichlet problem and the Poisson equation. We prove the stability of the problem with respect to weak convergence of the data.
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Dates et versions

hal-00718911 , version 1 (18-07-2012)
hal-00718911 , version 2 (28-08-2012)

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Laurent Veron. Existence and stability of solutions of general semilinear elliptic equations with measure data. 2012. ⟨hal-00718911v2⟩
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