On singular elliptic equations with measure sources

Francescantonio Oliva, Francesco Petitta · ESAIM Control Optimisation and Calculus of Variations · 2015

We prove existence of solutions for a class of singular elliptic problems with a general measure as source term whose model is where Ω is an open bounded subset of ℝN. Here γ > 0, f is a nonnegative function on Ω, and μ is a nonnegative bounded Radon measure on Ω.

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