4 citations · 7 across the 13 of their papers we have counts for
17 papers
First Eigenvalue and Torsional Rigidity: Isoperimetric Inequalities for the Fractional Laplacian
Barbara Brandolini, Ida de Bonis, Vincenzo Ferone +2
We present a fractional counterpart of a generalized Kohler-Jobin inequality, showing that, among all bounded, open sets with Lipschitz boundary, having the…
Boundedness of solutions to singular anisotropic elliptic equations
Barbara Brandolini, Florica Corina Cirstea
We prove the uniform boundedness of all solutions for a general class of Dirichlet anisotropic elliptic problems of the form $$-Δ_{\overrightarrow{p}}u+Φ_0(u,\nabla u)=Ψ(u,\nabla u…
Isoperimetric sets for weighted twisted eigenvalues
Barbara Brandolini, Antoine Henrot, Anna Mercaldo +1
In tis paper we prove an isoperimetric inequality for the first twisted eigenvalue of a weighted operator, defined as the minimum of the usual Rayleigh quotient when…
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…
Eigenvalue Estimates for -Laplace Problems on Domains Expressed in Fermi Coordinates
Barbara Brandolini, Francesco Chiacchio, Jeffrey J. Langford
We prove explicit and sharp eigenvalue estimates for Neumann -Laplace eigenvalues in domains that admit a representation in Fermi coordinates. More precisely, if denotes a n…
Singular anisotropic elliptic equations with gradient-dependent lower order terms
Barbara Brandolini, Florica C. Cîrstea
We prove the existence of a solution to a singular anisotropic elliptic equation in a bounded open subset of with , subject to a homogeneous boundary cond…