A Talenti comparison result for a class of Neumann boundary value problems
arxiv(2024)
摘要
In this paper, we establish a comparison principle in terms of Lorentz norms
and point-wise inequalities between a positive solution u to the Poisson
equation with non-homogeneous Neumann boundary conditions and a specific
positive solution v to the Schwartz symmetrized problem, which is related to
u through an additional boundary condition.
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