Some observations on the first eigenvalue of the -Laplacian and its connections with asymmetry.
On the properties of infinity-harmonic functions and an application to capacitary convex rings.
An elementary proof of the Harnack inequality for non-negative infinity-superharmonic functions.
Some properties of the extreme values of infinity-harmonic functions.
A boundary Harnack principle for infinity-Laplacian and some related results.
Remarks on the gradient of an infinity-harmonic function.
A note on non-negative singular infinity-harmonic functions in the half-space.
In this work we study non-negative singular infinity-harmonic functions in the half-space. We assume that solutions blow-up at the origin while vanishing at infinity and on a hyperplane. We show that blow-up rate is of the order |x|.
Bounds for capacities in terms of asymmetry.
Some remarks on the regularity of minimizers of integrals with anisotropic growth
We prove higher integrability for minimizers of some integrals of the calculus of variations; such an improved integrability allows us to get existence of weak second derivatives.
Page 1