Renormalized solutions of Dirichlet problems for quasilinear elliptic equations with general measure data

F. Maeda

Source: Hiroshima Math. J. Volume 38, Number 1 (2008), 51-93.

Abstract

We consider quasilinear elliptic equations with lower order term and general measure data. We define renormalized solutions of Dirichlet problems and show the existence of such solutions. We also give uniqueness in some special cases.

Primary Subjects: 35J65

Secondary Subjects: 31C45

Keywords: quasi-linear equation; renormalized solution; Dirichlet problem; general measure data

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Permanent link to this document: http://projecteuclid.org/euclid.hmj/1207580345

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