Results 11 to 20 of about 2,147 (138)
Regularity properties of Haar Frames
Comptes rendus. Mathematique, 2021 We prove that pointwise and global Hölder regularity can be characterized using the coefficients on the Haar tight frame obtained by using a finite union of shifted Haar bases, despite the fact that the elements composing the frame are discontinuous ...
Stéphane Jaffard, Hamid Krim
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Steklov problems for the p−Laplace operator involving Lq-norm
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we are concerned with the study of the spectrum for the nonlinear Steklov problem of the form {Δpu=|u|p-2uin Ω,|∇u|p-2∂u∂v=λ‖u‖q,∂Ωp-q|u|q-2uon ∂Ω,\left\{ {\matrix{{{\Delta _p}u = {{\left| u \right|}^{p - 2}}u} \hfill & {{\rm{in}}\,\Omega ,
Alaoui My Driss Morchid +2 more
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Continuity of generalized Riesz potentials for double phase functionals
Mathematical Inequalities & Applications, 2021 In this note, we are concerned with the continuity of generalized Riesz potentials Iρ,μ ,τ f of functions in Morrey spaces LΦ,ν,κ (X) of double phase functionals over bounded nondoubling metric measure spaces.
T. Ohno, T. Shimomura
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Weighted W1, p (·)-Regularity for Degenerate Elliptic Equations in Reifenberg Domains
Advances in Nonlinear Analysis, 2021 Let w be a Muckenhoupt A2(ℝn) weight and Ω a bounded Reifenberg flat domain in ℝn. Assume that p (·):Ω → (1, ∞) is a variable exponent satisfying the log-Hölder continuous condition.
Zhang Junqiang, Yang Dachun, Yang Sibei
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A Generalized Version of the Lions-Type Lemma
Annales Mathematicae Silesianae, 2023 In this short paper, I recall the history of dealing with the lack of compactness of a sequence in the case of an unbounded domain and prove the vanishing Lions-type result for a sequence of Lebesgue-measurable functions.
Chmara Magdalena
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, 2021 u = 0 on ∂Ω× (0, T ). (1.3) In Problem (1.1)-(1.3) the framework is the following: the data μ is a general measure, b is a strictly increasing C-function, the operator −div(a(x, t,∇u)) is a Leray–Lions operator which is coercive and grows like |∇u| with ...
A. Marah, A. Bouajaja, H. Redwane
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Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space
Advanced Nonlinear Studies, 2022 The concentration-compactness principle of Lions type in Euclidean space relies on the Pólya-Szegö inequality, which is not available in non-Euclidean settings.
Li Dongliang, Zhu Maochun
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Moroccan Journal of Pure and Applied Analysis, 2023 We investigate the existence of non-trivial weak solutions for the following p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators {M(σ)(Δp(x)2u-Δp(x)u)=λϑ(x)|u|q(x)-2u(∫Ωϑ(x)q(x)|u|q(x)dx)r in Ω,u∈W2,p(.)
Jennane Mohsine, Alaoui My Driss Morchid
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Advances in Nonlinear Analysis, 2023 In this article, we develop a new set of results based on a non-local gradient jointly inspired by the Riesz ss-fractional gradient and peridynamics, in the sense that its integration domain depends on a ball of radius δ>0\delta \gt 0 (horizon of ...
Bellido José Carlos +2 more
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Sobolev's theorem for double phase functionals
, 2020 Our aim in this paper is to establish generalizations of Sobolev’s theorem for double phase functionals Φ(x,t) = t p + {b(x)t(log(e+ t))τ} , where 1 < p q < ∞ , τ > 0 and b is a nonnegative bounded function satisfying |b(x)− b(y)| C|x− y|θ (log(e+ |x− y|−
Y. Mizuta, T. Ohno, T. Shimomura
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