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math.AP2020
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…
math.AP2020
An interpolating inequality for solutions of uniformly elliptic equations
Rolando Magnanini, Giorgio Poggesi
We extend an inequality for harmonic functions, obtained in previous research by the authors, to the case of solutions of uniformly elliptic equations in divergence form, with mere…
math.AP2020★ 1 cited
Small diffusion and short-time asymptotics for Pucci operators
Diego Berti, Rolando Magnanini
This paper presents asymptotic formulas in the case of the following two problems for the {\it Pucci's extremal operators} . It is considered the solution $u^\vare…