Results 11 to 20 of about 2,214,339 (284)
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
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Maximum principles and Bôcher type theorems. [PDF]
Li C, Wu Z, Xu H.
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A note on boundary point principles for partial differential inequalities of elliptic type
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
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An aerodynamic analysis of a novel small wind turbine based on impulse turbine principles [PDF]
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
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New maximum principles for linear elliptic equations
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.
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Duality between Ahlfors-Liouville and Khas'minskii properties for nonlinear equations
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.
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Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids [PDF]
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
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A Liouville type theorem for a class of anisotropic equations
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
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Maximum Principles for Null Hypersurfaces and Null Splitting Theorems
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.
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On Korenblum’s maximum principle [PDF]
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|
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