Results 61 to 70 of about 1,954 (101)

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  

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
doaj   +1 more source

Sobolev extension in a simple case

Advanced Nonlinear Studies
In 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, Fefferman Charles, Ren Kevin, Skorobogatova Anna   +3 more
doaj   +1 more source

A counterexample for Improved Sobolev Inequalities over the 2-adic group

, 2010
On the framework of the 2-adic group Z_2, we study a Sobolev-like inequality where we estimate the L^2 norm by a geometric mean of the BV norm and the Besov space B(-1,\infty,\infty) norm.
Chamorro, Diego
core   +1 more source

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 Spaces
This 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, Pucci Patrizia, Song Yueqiang, Sun Xueqi   +3 more
doaj   +1 more source

Duality of capacities and Sobolev extendability in the plane. [PDF]

Complex Analysis Synerg, 2021
Zhang YR.
europepmc   +1 more source

Weighted Hardy-Adams inequality on unit ball of any even dimension

Advances in Nonlinear Analysis
In 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
doaj   +1 more source

Fractional Maximal Functions in Metric Measure Spaces

Analysis and Geometry in Metric Spaces, 2013
We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev ...
Heikkinen Toni, Lehrbäck Juha, Nuutinen Juho, Tuominen Heli   +3 more
doaj   +1 more source

Nonexistence and existence of solutions for a supercritical p-Laplacian elliptic problem

Advanced Nonlinear Studies
In 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
doaj   +1 more source