Zobrazeno 1 - 10
of 170
pro vyhledávání: '"Pigola, Stefano"'
We obtain a vanishing result for solutions of the inequality $|\Delta u|\le q_1|u|+q_2|\nabla u|$ that decay to zero along a very general warped cylindrical end of a Riemannian manifold. The appropriate decay condition at infinity on $u$ is related t
Externí odkaz:
http://arxiv.org/abs/2401.12367
On a complete Riemannian manifold $(M,g)$, we consider $L^{p}_{loc}$ distributional solutions of the the differential inequality $-\Delta u + \lambda u \geq 0$ with $\lambda >0$ a locally bounded function that may decay to $0$ at infinity. Under suit
Externí odkaz:
http://arxiv.org/abs/2304.00745
Given a strongly local Dirichlet space and $\lambda\geq 0$, we introduce a new notion of $\lambda$--subharmonicity for $L^1_\loc$--functions, which we call \emph{local $\lambda$--shift defectivity}, and which turns out to be equivalent to distributio
Externí odkaz:
http://arxiv.org/abs/2302.09423
The paper focuses on the $L^{p}$-Positivity Preservation property ($L^{p}$-PP for short) on a Riemannian manifold $(M,g)$. It states that any $L^p$ function $u$ with $1
Externí odkaz:
http://arxiv.org/abs/2301.05159
In this paper we investigate the validity of first and second order $L^{p}$ estimates for the solutions of the Poisson equation depending on the geometry of the underlying manifold. We first present $L^{p}$ estimates of the gradient under the assumpt
Externí odkaz:
http://arxiv.org/abs/2207.08545
Autor:
Bisterzo, Andrea, Pigola, Stefano
This paper deals with symmetry phenomena for solutions of the Dirichlet problem involving semilinear PDEs on Riemannian domains. We shall present a rather general framework where the symmetry problem can be formulated and provide some evidence that t
Externí odkaz:
http://arxiv.org/abs/2206.02707
In this paper we study $W^{1,p}$ global regularity estimates for solutions of $\Delta u = f$ on Riemannian manifolds. Under integral (lower) bounds on the Ricci tensor we prove the validity of $L^p$-gradient estimates of the form $|| \nabla u ||_{L^p
Externí odkaz:
http://arxiv.org/abs/2204.04002
Publikováno v:
In Nonlinear Analysis August 2024 245
