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 ...
Antontsev, S., Shmarev, S.
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Positive solutions for discrete anisotropic equations
, 2020 Using variational method, we study the existence of positive solutions for an anisotropic discrete Dirichlet problem with some functions alpha, beta and a nonlinear term f.
A. Ayoujil +2 more
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Decay estimates and a vanishing phenomenon for the solutions of critical anisotropic equations [PDF]
, 2014 We investigate the asymptotic behavior of solutions of anisotropic equations of the form − ∑ i = 1 n ∂ x i ( | ∂ x i u | p i − 2 ∂ x i u ) = f ( x , u ) in R n , where p i > 1 for all i = 1 , … , n and f is a Caratheodory function with critical Sobolev ...
J. Vétois
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New Anisotropic Exact Solution in Multifield Cosmology
Universe, 2021 In the case of two-scalar field cosmology, and specifically for the Chiral model, we determine an exact solution for the field equations with an anisotropic background space.
Andronikos Paliathanasis
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Coupled heat transfer between a viscous shock gasdynamic layer and a transversely streamlined anisotropic half-space [PDF]
INCAS Bulletin, 2020 The purpose of the article is to analytically solve the conjugate problem of heat transfer in a viscous shock layer on a blunt object and thermal conductivity in an anisotropic half-space.
Olga V. TUSHAVINA
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Anisotropic Singular Neumann Equations with Unbalanced Growth [PDF]
Potential Analysis, 2021 AbstractWe consider a nonlinear parametric Neumann problem driven by the anisotropic (p, q)-Laplacian and a reaction which exhibits the combined effects of a singular term and of a parametric superlinear perturbation. We are looking for positive solutions.
Nikolaos S. Papageorgiou +2 more
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Locally Anisotropic Kinetic Processes and Thermodynamics in Curved Spaces [PDF]
, 2000 The kinetic theory is formulated with respect to anholonomic frames of reference on curved spacetimes. By using the concept of nonlinear connection we develop an approach to modelling locally anisotropic kinetic processes and, in corresponding limits ...
Abramowitz +44 more
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Semilinear anisotropic evolution partial differential equations
Journal of Mathematical Analysis and Applications, 2003 Consider the anisotropic Cauchy problem \(\partial_t u+P(D)u-G(\partial^\alpha u)=0\) for \(t>0\), \(u(x,0)=u_0(x)\), where \(P(D)=\sum_{| \alpha:\rho| \leq m} c_\alpha D_x^\alpha\) is a quasi-elliptic operator of (anisotropic) order \(m\) and \(G\) is a homogeneous polynomial with constant coefficients.
P. Marcolongo, OLIARO, Alessandro
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Anisotropic singular logistic equations [PDF]
Opuscula MathematicaWe consider a parametric Dirichlet problem driven by the anisotropic \((p,q)\)-Laplacian and a reaction with a singular term and a superdiffusive logistic perturbation.
João Pablo Pinheiro Da Silva +3 more
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Elliptic regularity theory applied to time harmonic anisotropic Maxwell's equations with less than Lipschitz complex coefficients [PDF]
, 2014 The focus of this paper is the study of the regularity properties of the time harmonic Maxwell's equations with anisotropic complex coefficients, in a bounded domain with $C^{1,1}$ boundary. We assume that at least one of the material parameters is $W^{1,
Alberti, Giovanni S., Capdeboscq, Yves
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