Singular Nonlocal Problem Involving Measure Data

In this paper we prove existence of solutions for a partial differential equation involving a singularity with a general nonnegative, Radon measure as source term which is given as ( - Δ ) s u = f ( x ) h ( u ) + μ in Ω , u = 0 in R N \ Ω , u > 0 in Ω , where Ω is a bounded domain of R N , f is a...

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Veröffentlicht in:Boletim da Sociedade Brasileira de Matemática 2019-03, Vol.50 (1), p.187-209
Hauptverfasser: Ghosh, Sekhar, Choudhuri, Debajyoti, Giri, Ratan Kr
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Sprache:eng
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