RT Journal Article T1 Existence theory and qualitative properties of the solutions of some first order quasilinear variational inequalities. A1 Díaz Díaz, Jesús Ildefonso A1 Véron, Laurent AB The authors consider first-order equations in "conservation laws'' form perturbed by a semilinear nonlinearity of monotone type. The known existence and uniqueness results for conservation laws—results due to Kruzhkov—are easily adapted to this situation and some qualitative properties of the solutions are discussed. PB Indiana University SN 0022-2518 YR 1983 FD 1983 LK https://hdl.handle.net/20.500.14352/64670 UL https://hdl.handle.net/20.500.14352/64670 LA eng DS Docta Complutense RD 7 abr 2025