Results 61 to 70 of about 355 (125)
Mathematical Inequalities & Applications, 2019 Our aim in this paper is to deal with the boundedness of generalized Riesz potentials Iρ,μ ,τ f of functions in Morrey spaces L(1,φ;κ)(G) over non-doubling measure spaces, as an extension of [4, 6, 9, 12, 19].
Y. Sawano, T. Shimomura
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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
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Advances in Nonlinear Analysis, 2022 In this article, we study the existence of multiple solutions to a generalized p(⋅)p\left(\cdot )-Laplace equation with two parameters involving critical growth.
Ho Ky, Sim Inbo
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Local one-sided maximal function on fractional Sobolev spaces
Mathematical Inequalities & Applications, 2019 In this article we study the boundedness of local one sided maximal operators on weighted fractional Sobolev Spaces. As a consequence we obtain a Lebesgue differentiation theorem for functions in fractional Sobolev spaces.
A. Ghosh, Kalachand Shuin
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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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Embedding generalized Wiener classes into Lipschitz spaces
Mathematical Inequalities & Applications, 2019 In this note, we give a necessary and sufficient condition for embedding the classes ΛBV(pn↑p) into the generalized Lipschitz spaces Hω q (1 q < p ∞ ). Mathematics subject classification (2010): 46E35, 46E30.
M. M. Goodarzi +2 more
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, 2014 We are concerned with the following elliptic equations with variable exponents: −div(φ(x,∇u))+|u|p(x)−2u=λf(x,u) in RN, where the function φ(x,v) is of type |v|p(x)−2v with continuous function p:RN→(1,∞) and f:RN×R→R satisfies a Carathéodory condition ...
Seung Dae Lee, Kisoeb Park, Yun-Ho Kim
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Extremal functions for the modified Trudinger-Moser inequalities in two dimensions
Mathematical Inequalities & Applications, 2019 Let Ω ⊂ R2 be a smooth bounded domain, W 1,2 0 (Ω) be the standard Sobolev space. Assuming certain conditions on a function g : R → R , we prove that the supremum sup u∈W 0 (Ω),‖∇u‖2 1 ∫ Ω (1+g(u))e4πu 2 dx, can be attained by some function u0 ∈W 1,2 0 ...
Ya in Wang
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, 2017 In this paper, variable integral and smooth exponent Triebel-Lizorkin spaces associated with a non-negative self-adjoint operator are introduced. Then equivalent norms and atomic decomposition of these new spaces are given.
Jingshi Xu, Xiaodi Yang
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Sobolev extension in a simple case
Advanced Nonlinear StudiesIn this paper, we establish the existence of a bounded, linear extension operator T:L2,p(E)→L2,p(R2) $T :{L}^{2,p}\left(E\right)\to {L}^{2,p}\left({\mathbb{R}}^{2}\right)$ when 1 < p < 2 and E is a finite subset of R2 ${\mathbb{R}}^{2}$ contained in a ...
Drake Marjorie +3 more
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