Results 81 to 90 of about 2,147 (138)

Existence result of the global attractor for a triply nonlinear thermistor problem

Moroccan Journal of Pure and Applied Analysis, 2023
We study the existence and uniqueness of a bounded weak solution for a triply nonlinear thermistor problem in Sobolev spaces. Furthermore, we prove the existence of an absorbing set and, consequently, the universal attractor.
Ammi Moulay Rchid Sidi, Dahi Ibrahim, Hachimi Abderrahmane El, Torres Delfim F. M.   +3 more
doaj   +1 more source

Variable integral and smooth exponent Triebel-Lizorkin spaces associated with a non-negative self-adjoint operator

, 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
semanticscholar   +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

Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces

, 2013
In this paper, we establish the Hardy inequality of the logarithmic type in the critical Sobolev-Lorentz spaces. More precisely, we generalize the Hardy type inequality obtained in Edmunds and Triebel (Math. Nachr. 207:79-92, 1999).
Shuji Machihara, T. Ozawa, H. Wadade
semanticscholar   +1 more source

Fractional integrals on B_σ-weighted Morrey spaces

, 2016
By using Bσ -weighted function spaces, we will investigate the weighted estimates of fractional integrals on Bσ -weighted Morrey spaces, which unify the weighted estimates of them on several function spaces.
Y. Komori‐Furuya, Katsuo Matsuoka
semanticscholar   +1 more source

Embedding of classes of functions with λ_φ-bounded variation into generalized Lipschitz classes

, 2015
In this note, we obtain the sufficient and necessary condition for the embedding of the classes ΛφBV of functions with Λφ -bounded variation into the generalized Lipschitz classes Hω q , 1 q < ∞ .
Heping Wang
semanticscholar   +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

Norm inequalities for composition of the Dirac and Green’s operators

, 2013
We first prove a norm inequality for the composition of the Dirac operator and Green’s operator. Then, we estimate for the Lipschitz and BMO norms of the composite operator in terms of the Ls norm of a differential form.MSC:26B10, 30C65, 31B10, 46E35.
S. Ding, Bing Liu
semanticscholar   +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