Results 21 to 30 of about 73 (72)

Qualitative properties of solutions for dual fractional parabolic equations involving nonlocal Monge-Ampère operator

Advances in Nonlinear Analysis
In this article, we mainly study the qualitative properties of solutions for dual fractional-order parabolic equations with nonlocal Monge-Ampère operators in different domains ∂tβμ(y,t)−Dατμ(y,t)=f(μ(y,t)).{\partial }_{t}^{\beta }\mu \left(y,t)-{D}_ ...
Yang Zerong, He Yong
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Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations

Advances 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
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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

Inverse positivity for general Robin problems on Lipschitz domains [PDF]

, 2009
. It is proved that elliptic boundary value problems in divergence form can be written in many equivalent forms. This is used to prove regularity properties and maximum principles for problems with Robin boundary conditions with negative or indefinite ...
Daniel Daners
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A Strong Maximum Principle For Weak Solutions Of Quasi-Linear Elliptic Equations With Applications To Lorentzian And Riemannian Geometry

, 1996
. The strong maximum principle is proved to hold for weak (in the sense of support functions) sub- and super-solutions to a class of quasi-linear elliptic equations that includes the mean curvature equation for C 0 spacelike hypersurfaces in a ...
Lars Andersson, Galloway, Gregory J, Ralph Howard, Howard, Ralph, Gregory J. Galloway, Andersson, Lars   +5 more
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Wellposedness and dynamics of two types of reaction–nonlocal diffusion systems under the inhomogeneous spectral fractional Laplacian

Advances in Nonlinear Analysis
Reaction–nonlocal diffusion equations (RNDEs) model nonlocal transport and anomalous diffusion by replacing the Laplacian with a fractional power, capturing diffusion mechanisms beyond Brownian motion.
Yuan Pu, Zegeling Paul A.
doaj   +1 more source

Maximum Principle and Its Application for the Time-Fractional Diffusion Equations [PDF]

, 2011
MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion ...
Luchko, Yury
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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

Global Dynamics of Generalized Logistic Equations

Advanced Nonlinear Studies, 2018
We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population.
Daners Daniel, López-Gómez Julián
doaj   +1 more source

Maximum Principle for Linear Second Order Elliptic Equations in Divergence Form

, 2003
[Fabricant A.; Фабрикант А.]; [Kutev N.; Кутев Н.]; [Rangelov T.; Рангелов Т.]The maximum principle for linear second-order elliptic equations in divergence form is investigated.
Fabricant, A., Kutev, N., Rangelov, T.
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