Results 51 to 60 of about 2,152,594 (182)

Maximum and minimum principles for nonlinear transport equations on discrete-space domains

open access: yesElectronic Journal of Differential Equations, 2014
We consider nonlinear scalar transport equations on the domain with discrete space and continuous time. As a motivation we derive a conservation law on these domains.
Jonas Volek
doaj  

Speed-gradient Entropy Principle for Nonstationary Processes

open access: yesEntropy, 2008
The speed-gradient variational principle (SG-principle) for nonstationary far from equilibrium systems is formulated and illustrated by examples. The SG-model of transient (relaxation) dynamics for systems of a finite number of particles based on maximum
Alexander Fradkov
doaj   +1 more source

Remarks on the strong maximum principle for nonlocal operators

open access: yesElectronic Journal of Differential Equations, 2008
In this note, we study the existence of a strong maximum principle for the nonlocal operator $$ mathcal{M}[u](x) :=int_{G}J(g)u(x*g^{-1})dmu(g) - u(x), $$ where $G$ is a topological group acting continuously on a Hausdorff space $X$ and $u in C(X)
Jerome Coville
doaj  

Peyronie's Reconstruction for Maximum Length and Girth Gain: Geometrical Principles

open access: yesAdvances in Urology, 2008
Peyronie's disease has been associated with penile shortening and some degree of erectile dysfunction. Surgical reconstruction should be based on giving a functional penis, that is, rectifying the penis with rigidity enough to make the sexual intercourse.
Paulo H. Egydio, Salvatore Sansalone
doaj   +1 more source

Maximum Principles in Analytical Economics [PDF]

open access: yes
Lecture to the memory of Alfred Nobel, December 11, 1970general equilibrium;
Samuelson, Paul A.
core  

A maximum principle for infinite horizon delay equations [PDF]

open access: yes, 2012
We prove a maximum principle of optimal control of stochastic delay equations on infinite horizon. We establish first and second sufficient stochastic maximum principles as well as necessary conditions for that problem.
Agram, N.   +3 more
core   +1 more source

Maximum principles, sliding techniques and applications to nonlocal equations

open access: yesElectronic Journal of Differential Equations, 2007
This paper is devoted to the study of maximum principles holding for some nonlocal diffusion operators defined in (half-) bounded domains and its applications to obtain qualitative behaviors of solutions of some nonlinear problems.
Jerome Coville
doaj  

Maximum principles for Laplacian and fractional Laplacian with critical integrability

open access: yes, 2019
In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider $-\Delta u(x)+c(x)u(x)\geq 0$ in $B_1$ where $c(x)\in L^{p}(B_1)$, $B_1\subset \mathbf{R}^n$. As is known that $p=\frac{n}{2}$
Lü, Yingshu
core  

Maximum Principles for Dynamic Equations on Time Scales and Their Applications

open access: yesJournal of Applied Mathematics, 2014
We consider the second dynamic operators of elliptic type on time scales. We establish basic generalized maximum principles and apply them to obtain weak comparison principle for second dynamic elliptic operators and to obtain the uniqueness of Dirichlet
Shuqing Zhou, Hui Li
doaj   +1 more source

Two symmetry problems in potential theory

open access: yesElectronic Journal of Differential Equations, 2001
We consider two overdetermined boundary value problems as variants on J. Serrin's 1971 classical results and prove in both cases that the domains must be Euclidean balls.
Tewodros Amdeberhan
doaj  

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