Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Berchio, Elvise"'
We study nonnegative solutions to the Cauchy problem for the Fractional Fast Diffusion Equation on a suitable class of connected, noncompact Riemannian manifolds. This parabolic equation is both singular and nonlocal: the diffusion is driven by the (
Externí odkaz:
http://arxiv.org/abs/2405.17126
Publikováno v:
Journal of Differential Equations 2023
We provide a complete classification with respect to asymptotic behaviour, stability and intersections properties of radial smooth solutions to the equation $-\Delta_g u=e^u$ on Riemannian model manifolds $(M,g)$ in dimension $N\ge 2$. Our assumption
Externí odkaz:
http://arxiv.org/abs/2211.10127
Publikováno v:
In Nonlinear Analysis: Real World Applications October 2024 79
We study nonnegative solutions to the Fractional Porous Medium Equation on a suitable class of connected, noncompact Riemannian manifolds. We provide existence and smoothing estimates for solutions, in an appropriate weak (dual) sense, for data belon
Externí odkaz:
http://arxiv.org/abs/2109.10732
Publikováno v:
Calculus of Variations and Partial Differential Equations 2022
We prove a family of Hardy-Rellich and Poincar\'e identities and inequalities on the hyperbolic space having, as particular cases, improved Hardy-Rellich, Rellich and second order Poincar\'e inequalities. All remainder terms provided considerably imp
Externí odkaz:
http://arxiv.org/abs/2106.03166
We consider the nonlinear degenerate parabolic equation of porous medium type, whose diffusion is driven by the (spectral) fractional Laplacian on the hyperbolic space. We provide existence results for solutions, in an appropriate weak sense, for dat
Externí odkaz:
http://arxiv.org/abs/2003.01449
Publikováno v:
Journal of Mathematical Analysis and Applications, 2020
We prove second and fourth order improved Poincar\'e type inequalities on the hyperbolic space involving Hardy-type remainder terms. Since theirs l.h.s. only involve the radial part of the gradient or of the laplacian, they can be seen as stronger ve
Externí odkaz:
http://arxiv.org/abs/2003.01434
Publikováno v:
Geometric Properties for Parabolic and Elliptic PDE's. Springer INdAM Series, vol 47. Springer, Cham. (2021)
We study Hardy-type inequalities on infinite homogeneous trees. More precisely, we derive optimal Hardy weights for the combinatorial Laplacian in this setting and we obtain, as a consequence, optimal improvements for the Poincar\'e inequality.
Externí odkaz:
http://arxiv.org/abs/2001.05932
Autor:
Berchio, Elvise, Falocchi, Alessio
We study the spectrum of non-homogeneous partially hinged plates having structural engineering applications. A possible way to prevent instability phenomena is to maximize the ratio between the frequencies of certain oscillating modes with respect to
Externí odkaz:
http://arxiv.org/abs/1907.11097
Publikováno v:
In Journal of Differential Equations 15 July 2023 361:417-448