Results 31 to 40 of about 724 (89)

Maximum principle for stable operators [PDF]

arXiv, 2022
We prove a weak maximum principle for nonlocal symmetric stable operators. This includes the fractional Laplacian. The main focus of this work is the regularity of the considered function.
arxiv  

Some remarks on the Pigola-Rigoli-Setti version of the Omori-Yau maximum principle

, 2013
We prove that the hypotheses in the version of the Omori-Yau maximum principle that was given by Pigola-Rigoli-Setti are logically equivalent to the assumption that the manifold carries a $C^2$ proper function whose gradient and Hessian (Laplacian) are ...
Barreto, Alexandre Paiva, Fontenele, Francisco   +1 more
core   +1 more source

Spatial decay and blow-up for solutions to some parabolic equations in the half cylinder

, 2010
In this paper,the spatial behaviors of a nonlinear and a quasi-linear parabolic equations with nonlinear boundary conditions are studied on a half cylinder.Under suitable conditions, we get a various, but closely related forms of Phragmen-Lindelof ...
Yan Liu, Changhao Lin
semanticscholar   +1 more source

Singular measure as principal eigenfunction of some nonlocal operators

, 2013
In this paper, we are interested in the spectral properties of the generalised principal eigenvalue of some nonlocal operator. That is, we look for the existence of some particular solution $(\lambda,\phi)$ of a nonlocal operator. $$\int_{\O}K(x,y)\phi(y)
Coville, Jerome
core   +1 more source

On an eighth order overdetermined elliptic boundary value problem

, 2010
We consider the overdetermined boundary value problem for the 4-harmonic operator, Δ4 = Δ(Δ3) , and show that if the solution of the problem exists, then the domain must be an open N -ball (N 2) .
S. Goyal, Vinod B. Goyal
semanticscholar   +1 more source

Generalizing Hopf's boundary point lemma [PDF]

, 2018
We give a Hopf boundary point lemma for weak solutions of linear divergence form uniformly elliptic equations, with H$\ddot{\text{o}}$lder continuous top-order coefficients and lower-order coefficients in a Morrey space.
arxiv   +1 more source

Extended Maximum Principles [PDF]

, 2007
2000 Mathematics Subject Classification: 35B50, 35L15.In this paper we introduce some new results concerning the maximum principles for second order linear elliptic partial differential equations defined on a noncompact Riemannian ...
Al-Mahameed, M. M.
core  

On the maximum principle for elliptic operators

, 2004
In this paper we obtain some estimates for solutions of second order elliptic equations whose leading coefficients are functions of vanishing mean oscillation. Mathematics subject classification (2000): 35J25, 35B50.
L. Caso, Paola Cavaliere, M. Transirico
semanticscholar   +1 more source

Some applications and maximum principles for multi-term time-space fractional parabolic Monge-Ampère equation

Demonstratio Mathematica
This study first establishes several maximum and minimum principles involving the nonlocal Monge-Ampère operator and the multi-term time-space fractional Caputo-Fabrizio derivative.
Guan Tingting, Wang Guotao, Araci Serkan
doaj   +1 more source

A Liouville type theorem for a class of anisotropic equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper we are dealing with entire solutions of a general class of anisotropic equations. Under some appropriate conditions on the data, we show that the corresponding equations cannot have non-trivial positive solutions bounded from above.
Barbu Luminiţa, Enache Cristian
doaj   +1 more source