PDE comparison principles for Robin problems
نویسندگان
چکیده
Abstract We compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one given data, and where data have been cap symmetrized. When parameters are nonnegative, we show that solution to symmetrized problem has larger convex means. Sending $+\infty $ , obtain mixed Robin/Dirichlet comparison results shells. prove similar on balls principle generalized cylinders Robin/Neumann conditions.
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2021
ISSN: ['1496-4279', '0008-414X']
DOI: https://doi.org/10.4153/s0008414x21000547