37 citations · 157 across the 16 of their papers we have counts for
9 papers · 1 filter
Relaxation for a degenerate functional with linear growth in the onedimensional case
Valeria Chiadò Piat, Virginia De Cicco, Anderson Melchor Hernandez
In this work, we study the relaxation of a degenerate functional with linear growth, depending on a weight that does not exhibit doubling or Muckenhoupt-type conditions. In ord…
Relaxation for degenerate nonlinear functionals in the onedimensional case
Valeria Chiadò Piat, Virginia De Cicco, Anderson Melchor Hernandez
In this study, we approach the analysis of a degenerate nonlinear functional in one dimension, accommodating a degenerate weight . Our investigation focuses on establishing an e…
Lower semicontinuity in for nonautonomous surface integrals
Virginia De Cicco, Giovanni Scilla
We provide a sufficient condition for lower semicontinuity of nonautonomous noncoercive surface energies defined on the space of functions, whose dependence on the -var…
Pairings between bounded divergence-measure vector fields and BV functions
Graziano Crasta, Virginia De Cicco, Annalisa Malusa
We introduce a family of pairings between a bounded divergence-measure vector field and a function of bounded variation, depending on the choice of the pointwise representative…
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…
On the chain rule formulas for divergences and applications to conservation laws
Graziano Crasta, Virginia De Cicco
In this paper we prove a nonautonomous chain rule formula for the distributional divergence of the composite function , where $\boldsymbol…
Structure of solutions of multidimensional conservation laws with discontinuous flux and applications to uniqueness
Graziano Crasta, Virginia De Cicco, Guido De Philippis +1
We investigate the structure of solutions of conservation laws with discontinuous flux under quite general assumption on the flux. We show that any entropy solution admits traces o…
Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux
Graziano Crasta, Virginia De Cicco, Guido De Philippis
We prove a uniqueness result for BV solutions of scalar conservation laws with discontinuous flux in several space dimensions. The proof is based on the notion of kinetic solution…
A chain rule formula in BV and applications to conservation laws
Graziano Crasta, Virginia De Cicco
In this paper we prove a new chain rule formula for the distributional derivative of the composite function , where has bounded variation, $B(x,\cd…