Results 81 to 90 of about 1,156,553 (130)

Variational Methods in Surface Parameterization [PDF]

, 2005
A surface parameterization is a function that maps coordinates in a 2-dimensional parameter space to points on a surface. This thesis investigates two kinds of parameterizations for surfaces that are disc-like in shape.
Litke, Nathan Jacob
core   +1 more source

Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity in R3

Abstract and Applied Analysis, 2014
We study the following nonhomogeneous Kirchhoff equation: -(a+b∫R3‍|∇u|2dx)Δu+u=k(x)f(u)+h(x),  x∈R3,  u∈H1(R3),  u>0,  x∈R3, where f is asymptotically linear with respect to t at infinity.
Ling Ding, Lin Li, Jin-Ling Zhang
doaj   +1 more source

Hamilton-Pontryagin Integrators on Lie Groups [PDF]

, 2007
In this thesis structure-preserving time integrators for mechanical systems whose configuration space is a Lie group are derived from a Hamilton-Pontryagin (HP) variational principle.
Bou-Rabee, Nawaf Mohammed
core   +1 more source

From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces

Abstract and Applied Analysis, 2014
We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0σ-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.
Mohamed Jleli, Bessem Samet, Calogero Vetro, Francesca Vetro   +3 more
doaj   +1 more source

The Ekeland's Variational Principle

, 2022
The present work has as target audience all students who have experience in Real Analysis. Some introductory results of Functional Analysis will be presented, as some definitions and results in metric spaces, having as main result: Ekeland’s ...
Azevedo, Mateus Vinicius Santos de
core  

Numerical analysis of a relaxed variational model of hysteresis in two-phase solids [PDF]

, 2001
This paper presents the numerical analysis for a variational formulation of rate-independent phase transformations in elastic solids due to Mielke et al.
Carstensen, Carsten, Carsten Carstensen, Plechac, Petr, Petr Plecháč   +3 more
core   +1 more source

Some Equivalent Formulations of the Generalized Ekeland’s Variational Principle and Their Applications

, 2011
[[abstract]]In this paper, we first give a generalized Takahashi’s existence theorem. From the existence theorem, we establish some equivalence relations between generalized Caristi’s fixed point theorems and generalized Ekeland’s variational principles.
Lai-Jiu Lin; Wei-Shih Du
core  

Variational semi-blind sparse deconvolution with orthogonal kernel bases and its application to MRFM [PDF]

, 2014
We present a variational Bayesian method of joint image reconstruction and point spread function (PSF) estimation when the PSF of the imaging device is only partially known.
Se Un Parka, Hero, Alfred O., Park, Se Un, Dobigeon, Nicolas, Alfred O. Heroa, Nicolas Dobigeonb   +5 more
core   +1 more source

Age-structured non-pharmaceutical interventions for optimal control of COVID-19 epidemic. [PDF]

PLoS Comput Biol, 2021
Richard Q, Alizon S, Choisy M, Sofonea MT, Djidjou-Demasse R.   +4 more
europepmc   +1 more source

The Existence of Cone Critical Point and Common Fixed Point with Applications

Journal of Applied Mathematics, 2011
We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem ...
Wei-Shih Du
doaj   +1 more source