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Comparison results for quasilinear equations in annular domains and applications. (English) Zbl 0994.35014
The author studies the generalized Dirichlet problem for quasilinear elliptic and parabolic equation in the case when losses of boundary conditions can actually occur, and proves for such problems comparison results between semicontinuous viscosity sub- and super-solutions in annular domains.
Reviewer: Jiaqi Mo (Wuhu)

MSC:
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35J65 Nonlinear boundary value problems for linear elliptic equations
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