Results 21 to 30 of about 2,173 (142)
Advanced Nonlinear Studies, 2021 The concentration-compactness principle for the Trudinger–Moser-type inequality in the Euclidean space was established crucially relying on the Pólya–Szegő inequality which allows to adapt the symmetrization argument.
Li Jungang, Lu Guozhen, Zhu Maochun
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Improved Hardy inequalities with exact remainder terms
, 2020 We set up several identities that imply some versions of the Hardy type inequalities. These equalities give a straightforward understanding of several Hardy type inequalities as well as the nonexistence of nontrivial optimizers.
Tuan Duy Nguyen +3 more
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Trace Operators on Regular Trees
Analysis and Geometry in Metric Spaces, 2020 We consider different notions of boundary traces for functions in Sobolev spaces defined on regular trees and show that the almost everywhere existence of these traces is independent of the chosen definition of a trace.
Koskela Pekka +2 more
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Optimality of Serrin type extension criteria to the Navier-Stokes equations
Advances in Nonlinear Analysis, 2021 We prove that a strong solution u to the Navier-Stokes equations on (0, T) can be extended if either u ∈ Lθ(0, T; U˙∞,1/θ,∞−α$\begin{array}{} \displaystyle \dot{U}^{-\alpha}_{\infty,1/\theta,\infty} \end{array}$) for 2/θ + α = 1, 0 < α < 1 or u ∈ L2(0, T;
Farwig Reinhard, Kanamaru Ryo
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Moroccan Journal of Pure and Applied Analysis, 2021 We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.
Moumni Mostafa El, Mohamed Deval Sidi
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Multivariate Analogue of Slant Toeplitz Operators
Hacettepe Journal of Mathematics and Statistics, 2020 This paper discusses several structural and fundamental properties of the kth-order slant Toeplitz operators on the Lebesgue space of the ntorus Tn, for integers k ≥ 2 and n ≥ 1. We obtain certain equivalent conditions for the commutativity and essential
Gopal Datt, Shesh Kumar Pandey
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Moroccan Journal of Pure and Applied Analysis, 2019 We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El +2 more
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Advanced Nonlinear Studies, 2023 Let II be a bounded interval of R{\mathbb{R}} and λ1(I){\lambda }_{1}\left(I) denote the first eigenvalue of the nonlocal operator (−Δ)14{(-\Delta )}^{\tfrac{1}{4}} with the Dirichlet boundary.
Chen Lu, Wang Bohan, Zhu Maochun
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Results on existence for generalized nD Navier-Stokes equations
Open Mathematics, 2019 In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
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Admissibility versus Ap-Conditions on Regular Trees
Analysis and Geometry in Metric Spaces, 2020 We show that the combination of doubling and (1, p)-Poincaré inequality is equivalent to a version of the Ap-condition on rooted K-ary trees.
Nguyen Khanh Ngoc, Wang Zhuang
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