We prove existence of solutions for a class of singular elliptic problems with a general measure as source term whose model is {-Δu = f(x)/uγ + μ in Ω, u = 0 on ∂Ω, u > 0 on Ω, 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.
On singular elliptic equations with measure sources / Oliva, F.; Petitta, F.. - In: ESAIM. COCV. - ISSN 1292-8119. - 22:1(2016), pp. 289-308. [10.1051/cocv/2015004]
On singular elliptic equations with measure sources
Oliva F.;
2016
Abstract
We prove existence of solutions for a class of singular elliptic problems with a general measure as source term whose model is {-Δu = f(x)/uγ + μ in Ω, u = 0 on ∂Ω, u > 0 on Ω, 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.File in questo prodotto:
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