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Igbida, Noureddine; Ouaro, Stanislas; Soma, Safimba

Elliptic problem involving diffuse measure data. (English) Zbl 1261.35146

J. Differ. Equations 253, No. 12, 3159-3183 (2012).
Authors’ abstract: In this paper, we study a suitable notion of solution for which a nonlinear elliptic problem governed by a general Leray-Lions operator is well posed for any diffuse measure data. In terms of the paper [H. Brezis et al., Ann. Math. Stud. 163, 55–109 (2007; Zbl 1151.35034)], we study the notion of solution for which any diffuse measure is “good measure”.
Reviewer: Stepan Agop Tersian (Rousse)

Cited in 7 Documents

MSC:

35R06 PDEs with measure
35J92 Quasilinear elliptic equations with \(p\)-Laplacian
35J60 Nonlinear elliptic equations

Keywords:

nonlinear elliptic; diffuse measure; biting lemma of Chacon; maximal monotone graph; Radon measure data; weak solution; entropic solution; Leray-Lions operator

Citations:

Zbl 1151.35034
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Full Text: DOI

References:

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