On singular elliptic equations with measure sources
ESAIM: Control, Optimisation and Calculus of Variations, Volume 22 (2016) no. 1, pp. 289-308.

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) u γ +μinΩ,u=0onΩ,u>0onΩ,
where Ω is an open bounded subset of N . Here γ>0, f is a nonnegative function on Ω, and μ is a nonnegative bounded Radon measure on Ω.

Received:
DOI: 10.1051/cocv/2015004
Classification: 35J60, 35J61, 35J75, 35R06
Mots-clés : Nonlinear elliptic equations, singular elliptic equations, measure data
Oliva, Francescantonio 1; Petitta, Francesco 1

1 Dipartimento di Scienze di Base e Applicate per l’ Ingegneria, “Sapienza”, Università di Roma, Via Scarpa 16, 00161 Roma, Italy
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Oliva, Francescantonio; Petitta, Francesco. On singular elliptic equations with measure sources. ESAIM: Control, Optimisation and Calculus of Variations, Volume 22 (2016) no. 1, pp. 289-308. doi : 10.1051/cocv/2015004. http://archive.numdam.org/articles/10.1051/cocv/2015004/

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