A Lazer-McKenna type problem with measures

Luigi Orsina; Francesco Petitta

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arXiv · 1506.03669

A Lazer-McKenna type problem with measures

Luigi Orsina·Francesco Petitta

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Abstract

In this paper we are concerned with a general singular Dirichlet boundary value problem whose model is the following $$ \begin{cases} -Δu = \fracμ{u^γ} & \text{in}\ Ω, u=0 &\text{on}\ \partialΩ, u>0 &\text{on}\ Ω\,. \end{cases} $$ Here $μ$ is a nonnegative bounded Radon measure on a bounded open set $Ω\subset\mathbb{R}^N$, and $γ>0$.

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Luigi Orsina, Francesco Petitta. 2017-02-14. A Lazer-McKenna type problem with measures. https://arxiv.org/abs/1506.03669

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