Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, II [PDF]
, 2002 32 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.-- Part I of this paper published in: Acta Appl. Math. 80(3): 273-308 (2004), available at: http://e-archivo.uc3m.es/handle/10016/6482MR#: MR1928169 (2003h:42034)Zbl#: Zbl 1095.42014^aWe present ...
José M. Rodríguez +7 more
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A note on a transmission problem for the Brinkman system and the generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains in R³ [PDF]
, 2019 The purpose of this paper is to treat a nonlinear transmission-type problem for a generalized version of the Darcy-Forchheimer-Brinkman system and the classical Brinkman system in complementary Lipschitz domains in R³.
ALBIȘORU, Andrei-Florin
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Sharp Sobolev Inequalities via Projection Averages. [PDF]
J Geom Anal, 2021 Kniefacz P, Schuster FE.
europepmc +1 more source
On a critical Choquard-Kirchhoff p-sub-Laplacian equation in ℍn
Analysis and Geometry in Metric SpacesThis article is devoted to the study of a critical Choquard-Kirchhoff pp-sub-Laplacian equation on the entire Heisenberg group Hn{{\mathbb{H}}}^{n}, where the Kirchhoff function KK can be zero at zero, i.e., the equation can be degenerate, and involving ...
Liang Sihua +3 more
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Lipschitz continuity of the scattering operator for nonlinear Klein-Gordon equations
, 2011 . We will give an overview of the Strichartz and Space Time Integral estimates for the Klein-Gordon and subcritical nonlinear Klein-Gordon equations, respectively.
Brenner, Philip,
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Duality of capacities and Sobolev extendability in the plane. [PDF]
Complex Analysis Synerg, 2021 Zhang YR.
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Besov Regularity for Interface Problems
, 1998 This paper is concerned with the Besov regularity of the solutions to interface problems in a segment S of the unit disk in R 2 : We investigate the smoothness of the solutions as measured in the specific scale B s ø (L ø (S)); 1=ø = s=2+1=p; of Besov
Dahlke, Stephan, Stephan Dahlke
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Weighted Hardy-Adams inequality on unit ball of any even dimension
Advances in Nonlinear AnalysisIn this study, we obtain the weighted Hardy-Adams inequality of any even dimension n≥4n\ge 4. Namely, for u∈C0∞(Bn)u\in {C}_{0}^{\infty }\left({{\mathbb{B}}}^{n}) with ∫Bn∣∇n2u∣2dx−∏k=1n⁄2(2k−1)2∫Bnu2(1−∣x∣2)ndx≤1,\mathop{\int }\limits_{{{\mathbb{B}}}^{n}
Wang Xumin
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Sharp Constants in Some Multiplicative Sobolev Inequalities
, 1995 AMS Classification: Primary 46E30, 46E35, 28E99. Secondary 26D10The optimal constants in the multiplicative Sobolev inequalities where the gradient is estimated in the L_1-norm and the function in two different Lebesgue norms are found.
Bobkov, S. G., Houdré, Christian
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Nonexistence and existence of solutions for a supercritical p-Laplacian elliptic problem
Advanced Nonlinear StudiesIn this paper, we obtain a general supercritical Sobolev inequality in W0,rad1,p(B) ${W}_{0,rad}^{1, p}\left(B\right)$ , where B is the unit ball in RN ${\mathbb{R}}^{N}$ .
Liu Yanjun, Li Yu, Chen Yuan
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