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math.FA2018★ 19 cited
An extension of the pairing theory between divergence-measure fields and BV functions
Graziano Crasta, Virginia De Cicco
In this paper we introduce a nonlinear version of the notion of Anzellotti's pairing between divergence--measure vector fields and functions of bounded variation, motivated by poss…
math.AP2018★ 26 cited
The Dirichlet problem for singular elliptic equations with general nonlinearities
Virginia De Cicco, Daniela Giachetti, Francescantonio Oliva +1
In this paper, under very general assumptions, we prove existence and regularity of distributional solutions to homogeneous Dirichlet problems of the form $$\begin{cases} \displays…