4 citations · 9 across the 5 of their papers we have counts for
9 papers
Interpolating estimates with applications to some quantitative symmetry results
Rolando Magnanini, Giorgio Poggesi
We prove interpolating estimates providing a bound for the oscillation of a function in terms of two norms of its gradient. They are based on a pointwise bound of a function…
Quantitative stability estimates for a two-phase Serrin-type overdetermined problem
Lorenzo Cavallina, Giorgio Poggesi, Toshiaki Yachimura
In this paper, we deal with an overdetermined problem of Serrin-type with respect to a two-phase elliptic operator in divergence form with piecewise constant coefficients. In parti…
A quantitative rigidity result for a two-dimensional Frenkel-Kontorova model
Serena Dipierro, Giorgio Poggesi, Enrico Valdinoci
We consider a Frenkel-Kontorova system of harmonic oscillators in a two-dimensional Euclidean lattice and we obtain a quantitative estimate on the angular function of the equilibri…
The location of hot spots and other extremal points
Rolando Magnanini, Giorgio Poggesi
In a domain of the Euclidean space, we estimate from below the distance to the boundary of global maximum points of solutions of elliptic and parabolic equations with homogeneous D…
A Serrin-type problem with partial knowledge of the domain
Serena Dipierro, Giorgio Poggesi, Enrico Valdinoci
We present a quantitative estimate for the radially symmetric configuration concerning a Serrin-type overdetermined problem for the torsional rigidity in a bounded domain , when…
Nearly optimal stability for Serrin's problem and the Soap Bubble theorem
Rolando Magnanini, Giorgio Poggesi
We present new quantitative estimates for the radially symmetric configuration concerning Serrin's overdetermined problem for the torsional rigidity, Alexandrov's Soap Bubble Theor…