Results 1 to 10 of about 3,580,780 (366)
Integrable Anisotropic Evolution Equations on a Sphere [PDF]
Symmetry, 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
An Existence Result for Discrete Anisotropic Equations [PDF]
Taiwanese Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heidarkhani, Shapour +2 more
openaire +4 more sources
Grad‐Shafranov Equation with Anisotropic Pressure [PDF]
The Astrophysical Journal, 2000 uses file emulateapj ...
В. С. Бескин, Inga Kuznetsova
openalex +3 more sources
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
doaj +2 more sources
Eikonal Equation for Anisotropic Media [PDF]
Journal of Mathematical Sciences, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. V. Borovskikh
openalex +3 more sources
Anisotropic Fast Diffusion Equations [PDF]
Nonlinear Analysis, 2020 62 pages. Typos corrected, references added, text provided with very detailed proofs.
Filomena Feo +2 more
openalex +4 more sources
A Variational Approach to Perturbed Discrete Anisotropic Equations
Abstract and Applied Analysis, 2016 We continue the study of discrete anisotropic equations and we will provide new multiplicity results of the solutions for a discrete anisotropic equation.
Amjad Salari +3 more
doaj +2 more sources
Anisotropic equations in $L^1$
Differential and Integral Equations, 1996 Let \(\mu\) be a bounded Radon measure on \(\Omega\). The authors prove existence of a solution of the anisotropic quasilinear Dirichlet problem \[ - \sum^n_{i= 1} {\partial\over \partial x_i} \Biggl(\Biggl|{\partial u\over \partial x_i}\Biggr|^{p_i- 2} {\partial u\over \partial x_i}\Biggr)= \mu \quad \text{in }\Omega,\quad u= 0\quad \text{on }\partial
L. BOCCARDO +2 more
openaire +5 more sources
Anisotropic parabolic equations with variable nonlinearity [PDF]
Publicacions Matemàtiques, 2009 We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions. Equations of this class generalize the evolutional p(x, t)-Laplacian. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time L∞ bounds for the weak ...
S. N. Antont︠s︡ev, Sergey Shmarev
openalex +8 more sources
Anisotropic equations: Uniqueness and existence results
Differential and Integral Equations, 2008 We study uniqueness of weak solutions for elliptic equations of the following type \[ -\partial_{x_{i}}\left( a_{i}(x,u)\left\vert \partial_{x_{i}}u\right\vert ^{p_{i}-2}\partial_{x_{i}}u\right) +b(x,u) =f(x), \] in a bounded domain $\Omega\subset{\mathbb{R}}^{n}$ with Lipschitz continuous boundary $\Gamma=\partial\Omega$.
Antontsev, Stanislav, Chipot, Michel
openaire +4 more sources