5 citations · 5 across the 5 of their papers we have counts for
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Comparison results for a nonlocal singular elliptic problem
Barbara Brandolini, Ida de Bonis, Vincenzo Ferone +1
We provide symmetrization results in the form of mass concentration comparisons for fractional singular elliptic equations in bounded domains, coupled with homogeneous external Dir…
Nonlinear aggregation-diffusion equations with Riesz potentials
Yanghong Huang, Edoardo Mainini, Juan Luis Vázquez +1
We consider an aggregation-diffusion model, where the diffusion is nonlinear of porous medium type and the aggregation is governed by the Riesz potential of order s. The addition o…
Symmetrization for fractional nonlinear elliptic problems
Vincenzo Ferone, Bruno Volzone
In this note we prove a new symmetrization result, in the form of mass concentration comparison, for solutions of nonlocal nonlinear Dirichlet problems involving fractional p Lapla…
Anisotropic p-Laplacian Evolution of Fast Diffusion type
Filomena Feo, Juan Luis Vazquez, Bruno Volzone
We study an anisotropic, possibly non-homogeneous version of the evolution -Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove…
Long-time behavior for the porous medium equation with small initial energy
Lorenzo Brasco, Bruno Volzone
We study the long-time behavior for the solution of the Porous Medium Equation in an open bounded connected set, with smooth boundary. Homogeneous Dirichlet boundary conditions are…
Symmetrization for fractional elliptic problems: a direct approach
Vincenzo Ferone, Bruno Volzone
We provide new direct methods to establish symmetrization results in the form of mass concentration (i.e., integral) comparison for fractional elliptic equations of the type $(-Δ)^…