Results 81 to 90 of about 211 (144)

Integral representations on equipotential and harmonic sets [PDF]

, 2004
12 pages, no figures.-- MSC1991 codes: Primary 46E35, 46E39, 46E20; Secondary 43A35, 44A60.MR#: MR2098419 (2005h:30066)Zbl#: Zbl 1082.46026The sets we are going to consider here are of the form ${z\in\mathbb C \mid (z) 1}$ (equipotential) and ${z\in ...
Marcellán, Francisco, Szafraniec, Franciszek H., Marcellán Español, Francisco José, Szafraniec, Franciszek   +3 more
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Capacity and perimeter from logarithmic fractional Sobolev spaces on Carnot groups

Advances in Nonlinear Analysis
In this paper, we introduce the logarithmic fractional Sobolev space on Carnot groups and investigate the various functional-geometric aspects of the corresponding functional capacity.
Zhao Nan, Liu Yu
doaj   +1 more source

Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings

, 2020
. In 1972 the author proved the so called conductor and capacitary inequalities for the Dirichlet type integrals of a function on a Euclidean domain. Both were used to derive necessary and sufficient conditions for Sobolev type inequalities involving ...
Vladimir Maz'ya
core  

Zero location and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev [PDF]

, 2001
16 pages, no figures.-- MSC2000 codes: Primary 41A10, 42C05; Secondary 33C45, 46E35, 46G10.MR#: MR2003640 (2004k:33019)[EN] In this article we consider the Sobolev orthogonal polynomials associated to the Jacobi's measure on [-1,1] .
Urbina, Wilfredo, Pijeira Cabrera, Héctor Esteban, Quintana, Yamilet   +2 more
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An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2022
Buccheri S, Orsina L, Ponce AC.
europepmc   +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

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

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

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
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Qualitative properties of solutions to the viscoelastic beam equation with damping and logarithmic nonlinear source terms

Advances in Nonlinear Analysis
In this article, we consider the initial-boundary value problem for a class of viscoelastic extensible beam equations with logarithmic source term, strong damping term, and weak damping term.
Gao Yanchao, Pan Bingbai
doaj   +1 more source