In this paper, we establish a comparison principle in terms of Lorentz norms and pointwise inequalities between a positive solution u to the Poisson equation with non-homogeneous Neumann boundary conditions and a specific positive solution v to the Schwarz symmetrized problem, which is related to u through an additional boundary condition.
A Talenti comparison result for a class of Neumann boundary value problems / Celentano, A.; Nitsch, C.; Trombetti, C.. - In: NONLINEAR ANALYSIS. - ISSN 1873-5215. - 261:(2025). [10.1016/j.na.2025.113864]
A Talenti comparison result for a class of Neumann boundary value problems
A. Celentano;C. Nitsch;C. Trombetti
2025
Abstract
In this paper, we establish a comparison principle in terms of Lorentz norms and pointwise inequalities between a positive solution u to the Poisson equation with non-homogeneous Neumann boundary conditions and a specific positive solution v to the Schwarz symmetrized problem, which is related to u through an additional boundary condition.File in questo prodotto:
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