Results 11 to 20 of about 31,705 (312)

Integrable Anisotropic Evolution Equations on a Sphere [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2005
V.V. Sokolov's modifying symmetry approach is applied to anisotropic evolution equations of the third order on the n-dimensional sphere. The main result is a complete classification of such equations.
Anatoly G. Meshkov, Maxim Ju. Balakhnev
doaj   +6 more sources

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]).
Luminita Barbu, Cristian Enache
exaly   +2 more sources

Nonlinear anisotropic parabolic equations in Lm

open access: yesArab Journal of Mathematical Sciences, 2014
In this paper, we give a result of regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with lower-order term when the right-hand side is an Lm function, with m being ”small”.
Fares Mokhtari
doaj   +3 more sources

On the Anisotropic Landau–Lifshitz Equations

open access: yesJournal of Mathematical Analysis and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Qun
openaire   +3 more sources

The anisotropic averaged Euler equations

open access: yes, 2000
The purpose of this paper is to derive the anisotropic averaged Euler equations and to study their geometric and analytic properties. These new equations involve the evolution of a mean velocity field and an advected symmetric tensor that captures the fluctuation effects.
Marsden, Jerrold E., Shkoller, Steve
openaire   +5 more sources

On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space [PDF]

open access: yesArab Journal of Mathematical Sciences, 2023
Purpose – In the present paper, the authors will discuss the solvability of a class of nonlinear anisotropic elliptic problems (P), with the presence of a lower-order term and a non-polynomial growth which does not satisfy any sign condition which is ...
Omar Benslimane   +2 more
doaj   +1 more source

Capillary Schwarz symmetrization in the half-space

open access: yesAdvanced Nonlinear Studies, 2023
In this article, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the framework of capillary problem in the half-space.
Lu Zheng, Xia Chao, Zhang Xuwen
doaj   +1 more source

Anisotropic fast diffusion equations

open access: yesNonlinear Analysis, 2023
62 pages. Typos corrected, references added, text provided with very detailed proofs.
Feo F., Vázquez J. L., Volzone B.
openaire   +3 more sources

Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay

open access: yesMathematics, 2023
This study is devoted to reaction–diffusion equations with spatially anisotropic time delay. Reaction–diffusion PDEs with either constant or variable transfer coefficients are considered.
Andrei D. Polyanin, Vsevolod G. Sorokin
doaj   +1 more source

On a class of singular anisotropic (p, q)-equations [PDF]

open access: yesRevista Matemática Complutense, 2021
AbstractWe consider a Dirichlet problem driven by the anisotropic (p, q)-Laplacian and with a reaction that has the competing effects of a singular term and of a parametric superlinear perturbation. Based on variational tools along with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of ...
Nikolaos S. Papageorgiou   +1 more
openaire   +3 more sources

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