Results 11 to 20 of about 2,214,339 (284)

Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations

open access: yesAdvances in Nonlinear Analysis, 2016
This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate P-functions, in the sense of Payne (see the book of Sperb [18]).
Barbu Luminita, Enache Cristian
doaj   +2 more sources

Maximum principles and Bôcher type theorems. [PDF]

open access: yesProc Natl Acad Sci U S A, 2018
Li C, Wu Z, Xu H.
europepmc   +2 more sources

A note on boundary point principles for partial differential inequalities of elliptic type

open access: yesBoundary Value Problems, 2022
In this note we consider boundary point principles for partial differential inequalities of elliptic type. First, we highlight the difference between the conditions required to establish classical strong maximum principles and classical boundary point ...
John Christopher Meyer
doaj   +1 more source

An aerodynamic analysis of a novel small wind turbine based on impulse turbine principles [PDF]

open access: yes, 2014
This document is the Accepted Manuscript of the following article: Pei Ying, Yong Kang Chen, and Yi Geng Xu, ‘An aerodynamic analysis of a novel small wind turbine based on impulse turbine principles’, Renewable Energy, Vol.
Chen, Yong, Xu, Yigeng, Ying, Pei
core   +1 more source

New maximum principles for linear elliptic equations

open access: yes, 2006
We prove extensions of the estimates of Aleksandrov and Bakel$'$man for linear elliptic operators in Euclidean space $\Bbb{R}^{\it n}$ to inhomogeneous terms in $L^q$ spaces for $q < n$.
Kuo, Hung-Ju, Trudinger, Neil S.
core   +1 more source

Duality between Ahlfors-Liouville and Khas'minskii properties for nonlinear equations

open access: yes, 2020
In recent years, the study of the interplay between (fully) non-linear potential theory and geometry received important new impulse. The purpose of this work is to move a step further in this direction by investigating appropriate versions of ...
Mari, Luciano, Pessoa, Leandro F.
core   +1 more source

Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids [PDF]

open access: yes, 2010
In this paper, we consider anisotropic diffusion with decay, and the diffusivity coefficient to be a second-order symmetric and positive definite tensor.
Arnold   +65 more
core   +1 more source

A Liouville type theorem for a class of anisotropic equations

open access: yesAnalele 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

Maximum Principles for Null Hypersurfaces and Null Splitting Theorems

open access: yes, 1999
A maximum principle for C^0 null hypersurfaces is obtained and used to derive a splitting theorem for spacetimes which contain null lines. As a consequence of this null splitting theorem, it is proved that an asymptotically simple vacuum (Ricci flat ...
Galloway, Gregory J.
core   +1 more source

On Korenblum’s maximum principle [PDF]

open access: yesProceedings of the American Mathematical Society, 1997
Summary: If \(f\) and \(g\) are analytic functions in the unit disk and \(|\cdot|\) is the Bergman norm, conditions are studied under which there exists an absolute constant \(c\) such that \(|f(z)|\geq|g(z)|\) for \(c\leq|z|
openaire   +2 more sources

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