Results 81 to 90 of about 191 (143)

Lipschitz continuity of the scattering operator for nonlinear Klein-Gordon equations

, 2011
. We will give an overview of the Strichartz and Space Time Integral estimates for the Klein-Gordon and subcritical nonlinear Klein-Gordon equations, respectively.
Brenner, Philip,
core  

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

Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials: a survey [PDF]

, 2006
6 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR2219917 (2006k:42051)Zbl#: Zbl 1146.42005In this paper we present a definition of Sobolev spaces with respect to general measures, prove some useful technical results, some of them ...
Pestana, Domingo, Romera, Elena, Rodríguez, José M., Álvarez, Venancio   +3 more
core  

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
doaj   +1 more source

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

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

Doubling measure and regularity to K-quasiminimizers of double-phase energy

Advances in Nonlinear Analysis
We consider an integral functional involving the double-phase operator in a metric measure space equipped with a doubling measure. On the basis of suitable hypotheses on the function governing the phase changes, we design a unifying approach to establish
Cen Jinxia, Vetro Calogero, Zeng Shengda
doaj   +1 more source

Stability Estimates of the Mortar Finite Element Method for 3-Dimensional Problems

, 1998
This paper is concerned with the mortar finite element method for three spatial variables. The two main issues are the proof of the LBB condition based on appropriate choices of Lagrange multipliers and optimal efficiency of corresponding multigrid ...
Dahmen, Wolfgang, Dietrich Braess, Braess, Dietrich, Dahmen, W., Wolfgang Dahmen   +4 more
core