Results 51 to 60 of about 1,973 (103)
Approximation theory for weighted Sobolev spaces on curves [PDF]
, 2001 17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana, Domingo +3 more
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Another extension of Orlicz‐Sobolev spaces to metric spaces
Abstract and Applied Analysis, Volume 2004, Issue 1, Page 1-26, 2004., 2004 We propose another extension of Orlicz‐Sobolev spaces to metric spaces based on the concepts of the Φ‐modulus and Φ‐capacity. The resulting space NΦ1 is a Banach space. The relationship between NΦ1 and MΦ1 (the first extension defined in Aïssaoui (2002)) is studied.
Noureddine Aïssaoui
wiley +1 more source
Integro-differential systems with variable exponents of nonlinearity
Open Mathematics, 2017 Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
Buhrii Oleh, Buhrii Nataliya
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Embeddings of α-Modulation Spaces [PDF]
, 2012 2010 Mathematics Subject Classification: 42B35, 46E35.We show upper and lower embeddings of α1-modulation spaces in α2-modulation spaces for 0 ≤ α1 ≤ α2 ≤ 1, and prove partial results on the sharpness of the ...
Toft, Joachim, Wahlberg, Patrik
core
Orlicz norm inequalities for the composite operator and applications
Journal of Inequalities and Applications, 2011 In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation.
Ding Shusen, Bi Hui
doaj
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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A Note on Div-Curl Lemma [PDF]
, 2007 2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and $$div(u^−v^→) ∈ H^1(R^d)$$ which include
Gala, Sadek
core
A real variable characterization of Gromov hyperbolicity of flute surfaces [PDF]
, 2008 23 pages, 1 figure.-- MSC2000 codes: 41A10, 46E35, 46G10.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0093Previously presented as Communication at International Congress of Mathematicians 2006 (ICM2006, Madrid, Spain, Aug 22-30, 2006 ...
Portilla, Ana +2 more
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An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces
Advances in Nonlinear Analysis, 2020 It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate.
Martínez Ángel D., Spector Daniel
doaj +1 more source
The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
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