Results 1 to 10 of about 4,035,775 (371)
Anisotropic tempered diffusion equations [PDF]
Nonlinear Analysis, 2020 We introduce a functional framework which is specially suited to formulate several classes of anisotropic evolution equations of tempered diffusion type. Under an amenable set of hypothesis involving a very natural potential function, these models can be shown to belong to the entropy solution framework devised by 4, 5, therefore ensuring well ...
Juan Calvo +2 more
openalex +6 more sources
Viscoacoustic anisotropic wave equations [PDF]
SEG Technical Program Expanded Abstracts 2019, 2019 The wave equation plays a central role in seismic modeling, processing, imaging and inversion. Incorporating attenuation anisotropy into the acoustic anisotropic wave equations provides a choice for acoustic forward and inverse modeling in attenuating ...
Q. Hao, T. Alkhalifah
semanticscholar +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
An Existence Result for Discrete Anisotropic Equations [PDF]
Taiwanese Journal of Mathematics, 2017 A critical point result is exploited in order to prove that a class of discrete anisotropic boundary value problems possesses at least one solution under an asymptotical behaviour of the potential of the nonlinear term at zero.
S. Heidarkhani, G. Afrouzi, S. Moradi
semanticscholar +4 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
semanticscholar +5 more sources
Minimal geometric deformation decoupling in $$2+1$$ 2+1 dimensional space–times
European Physical Journal C: Particles and Fields, 2018 We study the minimal geometric deformation decoupling in $$2+1$$ 2+1 dimensional space–times and implement it as a tool for obtaining anisotropic solutions from isotropic geometries.
Ernesto Contreras, Pedro Bargueño
doaj +3 more sources
Anisotropic equations: Uniqueness and existence results
Differential and Integral Equations, 2008 in a bounded domain Ω ⊂ R with Lipschitz continuous boundary Γ = ∂Ω. We consider in particular mixed boundary conditions -i.e., Dirichlet condition on one part of the boundary and Neumann condition on the other part.
S. Antontsev, M. Chipot
semanticscholar +4 more sources
Nonlinear anisotropic parabolic equations in Lm
Arab 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
Uniqueness result for nonlinear anisotropic elliptic equations
Advances in Differential Equations, 2013 We consider here a class of anisotropic elliptic equations, in a bounded domain $\Omega$ with Lipschitz continuous boundary $\partial \Omega$.
R. D. Nardo, F. Feo, O. Guibé
semanticscholar +4 more sources
Anisotropic equations with indefinite potential and competing nonlinearities [PDF]
Nonlinear Analysis, 2020 We consider a nonlinear Dirichlet problem driven by a variable exponent p -Laplacian plus an indefinite potential term. The reaction has the competing effects of a parametric concave (sublinear) term and a convex (superlinear) perturbation (the ...
N. Papageorgiou +2 more
semanticscholar +1 more source