Results 111 to 120 of about 1,963 (215)

Integral Representations and Liouville Theorems for Solutions of Periodic Elliptic Equations

open access: yes, 2001
The paper contains integral representations for certain classes of exponentially growing solutions of second order periodic elliptic equations. These representations are the analogs of those previously obtained by S. Agmon, S. Helgason, and other authors
Kuchment, Peter   +3 more
core   +1 more source

Liouville theorems for periodic two-component shallow water systems

open access: yes, 2018
We establish Liouville-type theorems for periodic two-component shallow water systems, including a two-component Camassa-Holm equation (2CH) and a two-component Degasperis-Procesi (2DP) equation.
Wu, Zhixin, Sun, Yumei, Wu, Qiaoyi
core   +1 more source

Sturm's theorems for generalized derivative and generalized Sturm--Liouville problem

open access: yes, 2023
The present paper defines the Sturm separation and Sturm comparison theorems for the generalized derivative. The generalized derivative is defined with respect to weight function and another function.
Agrawal, Om P   +2 more
core  

Global properties and multiple solutions for boundary-value problems of impulsive differential equations

open access: yesElectronic Journal of Differential Equations, 2013
This article presents global properties and existence of multiple solutions for a class of boundary value problems of impulsive differential equations.
Jing Wang, Baoqiang Yan
doaj  

Liouville theorems for nonlocal operators with conical diffusion

open access: yesBruno Pini Mathematical Analysis Seminar
We consider linear stable operators whose spectral measure is assumed to be positive only on a relatively open subset of the unit sphere, the aim being to present semilinear Liouville-type results for positive supersolutions in a half-space.
Giulio Galise
doaj   +1 more source

Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps

open access: yes, 2014
This paper is a study of harmonic maps fromRiemannian polyhedra to locally non-positively curvedgeodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functionsand harmonic maps under two different assumptions on the
Sinaei Zahra
core   +1 more source

Boundary pointwise regularity and Liouville theorems for fully nonlinear equations on cones

open access: yes, 2022
In this paper, we prove a boundary pointwise regularity for fully nonlinear elliptic equations on cones.
Lian, Yuanyuan
core  

Generalizations of the Liouville theorem

open access: yesDifferential Geometry and its Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

在有限區間向量型Sturm-Liouville方程式的唯一性定理

open access: yes, 2013
博士關於定義在區間的非對稱形Sturm-Liouville 微分方程式的反問題研究及學習,Yurko ( [24] , 2006)利用Weyl矩陣,提出了矩陣邊界值問題的反問題有唯一性的定理。 在本篇論文,首先;對於Sturm-Liouville矩陣微分方程式含有一般的邊界條件的反問題,我們將証明ㄧ般的h1 , H1,亦可得到Q(x)有唯一性。利用矩陣型式邊界值反問題的唯一性,我們主要工作是在向量微分方程式邊界值反問題上,探求向量頻譜(spectral sets)與位階函數Q(x)唯一性的關係 ...
Shieh, Chung-Tsun   +1 more
core  

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