7 papers
Anisotropic perimeter and isoperimetric quotient of inner parallel bodies
Graziano Crasta
The aim of this note is twofold: to give a short proof of the results in [S. Larson, A bound for the perimeter of inner parallel bodies, J. Funct. Anal. 271 (2016), 610-619] and [G…
Concavity properties of solutions to Robin problems
Graziano Crasta, Ilaria Fragalà
We prove that the Robin ground state and the Robin torsion function are respectively log-concave and -concave on an uniformly convex domain of…
Non-coercive radially symmetric variational problems: Existence, symmetry and convexity of minimizers
Graziano Crasta, Annalisa Malusa
We prove existence of radially symmetric solutions and validity of Euler-Lagrange necessary conditions for a class of variational problems such that neither direct methods nor indi…
The Brunn-Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators
Graziano Crasta, Ilaria Fragalà
We prove that the principal eigenvalue of any fully nonlinear homogeneous elliptic operator which fulfills a very simple convexity assumption satisfies a Brunn-Minkowski type inequ…
Pairings between bounded divergence-measure vector fields and BV functions
Graziano Crasta, Virginia De Cicco, Annalisa Malusa
We introduce a family of pairings between a bounded divergence-measure vector field and a function of bounded variation, depending on the choice of the pointwise representative…
On the first eigenvalue of the normalized p-Laplacian
Graziano Crasta, Ilaria Fragalà, Bernd Kawohl
We prove that, if is an open bounded domain with smooth and connected boundary, for every the first Dirichlet eigenvalue of the normalized -Laplacian i…