Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Monticelli, Dario D."'
We investigate nonexistence of nontrivial nonnegative solutions to a class of semilinear parabolic equations with a positive potential, posed on weighted graphs. Assuming an upper bound on the Laplacian of the distance and a suitable weighted space-t
Externí odkaz:
http://arxiv.org/abs/2404.12058
We consider the porous medium equation (PME) on complete noncompact manifolds $M$ of nonnegative Ricci curvature. We require nonparabolicity of the manifold and construct a natural space $X$ of functions, strictly larger than $L^1$, in which the Gree
Externí odkaz:
http://arxiv.org/abs/2402.18706
In this paper we classify positive solutions to the critical semilinear elliptic equation in $\mathbb{H}^n$. We prove that they are the Jerison-Lee's bubbles, provided $n=1$ or $n\geq 2$ and a suitable control at infinity holds. The proofs are based
Externí odkaz:
http://arxiv.org/abs/2310.10469
In this paper we prove new rigidity results for complete, possibly non-compact, critical metrics of the quadratic curvature functionals $\mathfrak{S}^2 = \int R_g^{2} dV_g$. We show that critical metrics $(M^n, g)$ with finite energy are always scala
Externí odkaz:
http://arxiv.org/abs/2303.08025
Autor:
Monticelli, Dario D., Punzo, Fabio
We investigate existence and nonexistence of global in time nonnegative solutions to the semilinear heat equation, with a reaction term of the type $e^{\mu t}u^p$ ($\mu\in\mathbb{R}, p>1$), posed on cones of the hyperbolic space. Under a certain assu
Externí odkaz:
http://arxiv.org/abs/2206.11758
We are concerned with nonexistence results for a class of quasilinear parabolic differential problems with a potential in $\Omega\times(0,+\infty)$, where $\Omega$ is a bounded domain. In particular, we investigate how the behavior of the potential n
Externí odkaz:
http://arxiv.org/abs/2104.02451
Publikováno v:
In Advances in Mathematics 15 November 2023 433
Autor:
Monticelli, Dario D., Rodney, Scott
This short note investigates the compact embedding of degenerate matrix weighted Sobolev spaces into weighted Lebesgue spaces. The Sobolev spaces explored are defined as the abstract completion of Lipschitz functions in a bounded domain $\Omega$ with
Externí odkaz:
http://arxiv.org/abs/1908.05642
Publikováno v:
In Journal de mathématiques pures et appliquées March 2023 171:102-121
On four-dimensional closed manifolds we introduce a class of canonical Riemannian metrics, that we call weak harmonic Weyl metrics, defined as critical points in the conformal class of a quadratic functional involving the norm of the divergence of th
Externí odkaz:
http://arxiv.org/abs/1810.07047