On a familiy of torsional creep problems.
Symetrie: Ano či ne?
On maximum principles and Liouville theorems for quasilinear elliptic equations and systems
On Liouville theorems, continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems
Isoperimetric estimates for the first eigenvalue of the -Laplace operator and the Cheeger constant
First we recall a Faber-Krahn type inequality and an estimate for in terms of the so-called Cheeger constant. Then we prove that the eigenvalue converges to the Cheeger constant as . The associated eigenfunction converges to the characteristic function of the Cheeger set, i.e. a subset of which minimizes the ratio among all simply connected . As a byproduct we prove that for convex the Cheeger set is also convex.
The -Laplace eigenvalue problem as in a Finsler metric
We consider the -Laplacian operator on a domain equipped with a Finsler metric. We recall relevant properties of its first eigenfunction for finite and investigate the limit problem as .
Page 1