Results 41 to 42 of about 156 (42)

A Talenti comparison result for a class of Neumann boundary value problems [PDF]

arXiv
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.
arxiv  

Quantitative comparison results for first-order Hamilton-Jacobi equations [PDF]

arXiv
In this paper, we prove a quantitative version of the comparison result for solutions to first-order Hamilton-Jacobi equations proved in \cite{GN}. The key role is played by quantitative versions of the P\'olya-Szeg\H o inequality and of the Hardy-Littlewood inequality.
arxiv