Results 11 to 20 of about 3,771,122 (391)
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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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 anisotropic media.
Qi Hao, Tariq Alkhalifah
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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
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An Existence Result for Discrete Anisotropic Equations [PDF]
Taiwanese Journal of Mathematics, 2018 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. Some recent results are extended and improved. Some examples are presented to demonstrate the applications of our main results.
Heidarkhani, Shapour +2 more
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On sequences of solutions for discrete anisotropic equations [PDF]
Expositiones Mathematicae, 2014 Taking advantage of a recent critical point theorem, the existence of infinitely many solutions for an anisotropic problem with a parameter is established. More precisely, a concrete interval of positive parameters, for which the treated problem admits infinitely many solutions, is determined without symmetry assumptions on the nonlinear data. Our goal
Molica Bisci G, Repovs D
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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
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Existence and uniqueness for nonlinear anisotropic elliptic equations [PDF]
arXiv, 2013 We study the existence and uniqueness for weak solutions to some classes of anisotropic elliptic Dirichlet problems with data belonging to the natural dual space.
R. D. Nardo, F. Feo
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Anisotropic equations in $L^1$
Differential and Integral Equations, 1996 L. BOCCARDO +2 more
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Anisotropic fast diffusion equations
Nonlinear Analysis, 2023 62 pages. Typos corrected, references added, text provided with very detailed proofs.
Feo F., Vázquez J. L., Volzone B.
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On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space [PDF]
Arab 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
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