Existence theory and qualitative properties of the solutions of some first order quasilinear variational inequalities. (English) Zbl 0488.35042


35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
49J40 Variational inequalities
35J65 Nonlinear boundary value problems for linear elliptic equations
47H05 Monotone operators and generalizations
47H20 Semigroups of nonlinear operators
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
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