Results 101 to 110 of about 2,147 (138)

Traces and fractional Sobolev extension domains with variable exponent

, 2018
A. Baalal, Mohamed Berghout
semanticscholar   +1 more source

Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions

Demonstratio Mathematica
We introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangular domains.
Eddine Nabil Chems, Repovš Dušan D.
doaj   +1 more source

Anisotropic adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$

Advanced Nonlinear Studies
In this paper, we mainly extend the classical Adams’ inequality to its anisotropic type. By using the rearrangement argument, we establish best constants for anisotropic Adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$ .
Zhang Tao, Yang Fan, Cheng Tingzhi, Zhou Chunqin   +3 more
doaj   +1 more source

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

Advanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
doaj   +1 more source

An estimate on the Bedrosian commutator in Sobolev space. [PDF]

J Inequal Appl, 2018
Oliver M.
europepmc   +1 more source

Singular Trudinger–Moser inequalities for the Aharonov–Bohm magnetic field

Advanced Nonlinear Studies
The first purpose of this paper is to establish the singular Trudinger–Moser inequality in R2 ${\mathbb{R}}^{2}$ for the Aharonov–Bohm magnetic fields.
Wang Xumin
doaj   +1 more source

Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition. [PDF]

J Inequal Appl, 2017
Dinlemez Kantar Ü, Özden T.
europepmc   +1 more source

Hardy type inequalities in [Formula: see text] with sharp remainders. [PDF]

J Inequal Appl, 2017
Ioku N, Ishiwata M, Ozawa T.
europepmc   +1 more source

Sharp affine weighted L 2 Sobolev inequalities on the upper half space

Advanced Nonlinear Studies
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj   +1 more source

Sobolev's embedding on time scales. [PDF]

J Inequal Appl, 2018
Ahmad N, Baig HA, Ur Rahman G, Shoaib Saleem M.   +3 more
europepmc   +1 more source