Volume 22, Number 1, January-March 2016
|Page(s)||289 - 308|
|Published online||29 January 2016|
On singular elliptic equations with measure sources
Dipartimento di Scienze di Base e Applicate per l’
Ingegneria, “Sapienza”, Università di Roma, Via Scarpa 16, 00161
Received: 15 April 2014
Revised: 24 October 2014
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.
Mathematics Subject Classification: 35J60 / 35J61 / 35J75 / 35R06
Key words: Nonlinear elliptic equations / singular elliptic equations / measure data
© EDP Sciences, SMAI, 2016
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