Results 1 to 10 of about 383 (142)
SOBOLEV INEQUALITIES WITH SYMMETRY [PDF]
Communications in Contemporary Mathematics, 2009 In this paper, we derive some Sobolev inequalities for radially symmetric functions in Ḣswith 1/2 < s < n/2. We show the end point case s = 1/2 on the homogeneous Besov space [Formula: see text]. These results are extensions of the well-known Strauss' inequality [13].
Cho, Yonggeun, Ozawa, Tohru
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On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation
Boundary Value Problems, 2022 In this paper, we address the Hall-MHD equations with partial dissipation. Applying some important inequalities (such as the logarithmic Sobolev inequality using BMO space, bilinear estimates in BMO space, Young’s inequality, cancellation property ...
Baoying Du
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Sharp Hardy-Sobolev Inequalities with General Weights and Remainder Terms
Journal of Inequalities and Applications, 2009 We consider a class of sharp Hardy-Sobolev inequality, where the weights are functions of the distance from a surface. It is proved that the Hardy-Sobolev inequality can be successively improved by adding to the right-hand side a lower-order term with ...
Yaotian Shen, Zhihui Chen
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Degenerate Poincaré–Sobolev inequalities [PDF]
Transactions of the American Mathematical Society, 2019 We study weighted Poincaré and Poincaré-Sobolev type inequalities with an explicit analysis on the dependence on the $A_p$ constants of the involved weights. We obtain inequalities of the form $$ \left (\frac{1}{w(Q)}\int_Q|f-f_Q|^{q}w\right )^\frac{1}{q}\le C_w\ell(Q)\left (\frac{1}{w(Q)}\int_Q |\nabla f|^p w\right )^\frac{1}{p}, $$ with different ...
Pérez, C., Rela, E.
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Evaluation of the One-Dimensional Lp Sobolev Type Inequality
Mathematics, 2020 This study applies the extended L 2 Sobolev type inequality to the L p Sobolev type inequality using Hölder’s inequality. The sharp constant and best function of the L p Sobolev type inequality are found using a Green ...
Kazuo Takemura, Yoshinori Kametaka
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Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces
Bulletin of Mathematical Sciences, 2021 Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. In particular, analytic properties of such polynomials have been extensively studied, mainly focused on their asymptotic behavior and the location of their zeros. On
Francisco Marcellán +1 more
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Eigenvalues of Graphs and Sobolev Inequalities [PDF]
Combinatorics, Probability and Computing, 1995 We derive bounds for eigenvalues of the Laplacian of graphs using discrete versions of the Sobolev inequalities and heat kernel estimates.
Fan R. K. Chung, Shing-Tung Yau
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Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Open Mathematics, 2023 Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
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Sobolev and Hardy–Littlewood–Sobolev inequalities
Journal of Differential Equations, 2014 This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms involve the dual counterparts, i.e. Hardy-Littlewood-Sobolev type inequalities. The Onofri inequality is achieved as a limit case of Sobolev type inequalities.
Jankowiak, Gaspard, Dolbeault, Jean
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Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Advances in Nonlinear Analysis, 2022 We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
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