A Lazer-McKenna type problem with measures

Abstract

In this paper we are concerned with a general singular Dirichlet boundary value problem whose model is the following $$\{\begin{array}{llcc}-\Delta u=\frac{\mu }{u^{\gamma }}& \text{in}\Omega ,u=0& \text{on}\partial \Omega ,u>0& \text{on}\Omega .\end{array}$$ Here $\mu$ is a nonnegative bounded Radon measure on a bounded open set $\Omega \subset {\mathbb{R}}^N$, and $\gamma >0$.

References in corpus (1)

• Selected problems on elliptic equations involving measures

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