Results 141 to 150 of about 7,152,101 (256)
$$L^p_{loc}$$ Positivity Preservation and Liouville-Type Theorems
The Journal of Geometric AnalysisAbstractOn a complete Riemannian manifold (M, g), we consider$$L^{p}_{loc}$$Llocpdistributional solutions of the differential inequality$$-\Delta u + \lambda u \ge 0$$-Δu+λu≥0with$$\lambda >0$$λ>0a locally bounded function that may decay to 0 at infinity.
Bisterzo, A, Farina, A, Pigola, S
openaire +3 more sources
Second-order
Advances in Difference Equations, 2006 We discuss conditions for the existence of at least one positive solution to a nonlinear second-order Sturm-Liouville-type multipoint eigenvalue problem on time scales.
Ma Ruyun, Anderson Douglas R
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Existence of Positive Solutions for a Class of
Advances in Difference Equations, 2008 This paper investigates the existence of positive solutions for a class of second-order singular -point Sturm-Liouville-type boundary value problems by using fixed point theorem in cones.
Zhang Xuemei, Ge Weigao
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On a Liouville type theorem for isotropic homogeneous fully nonlinear elliptic equations in dimension two [PDF]
, 2002 In this paper we establish a Liouville type theorem for fully nonlinear elliptic equations related to a conjecture of De Giorgi in R². We prove that if the level lines of a solution have bounded curvature, then these level lines are straight lines.
Dolbeault, Jean +3 more
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Liouville-Arnold theorem for contact Hamiltonian systems [PDF]
A Hamiltonian system is completely integrable (in the sense of Liouville) if there exist as many independent integrals of motion in involution as the dimension of the configuration space.
López-Gordón, Asier +3 more
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Liouville`s theorem and phase-space cooling
, 1993 A discussion is presented of Liouville`s theorem and its consequences for conservative dynamical systems. A formal proof of Liouville`s theorem is given.
Sessler, A. M., Mills, R. L.
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Disproof of Bell's Theorem [PDF]
, 2011 We illustrate an explicit counterexample to Bell's theorem by constructing a pair of dichotomic variables that exactly reproduce the EPR-Bohm correlations in a manifestly local-realistic ...
Christian, Joy
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在有限區間向量型Sturm-Liouville方程式的唯一性定理
, 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
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On some Liouville theorems for p-Laplace type operators
The goal of this note is to consider Liouville type theorem for p-Laplacian type operators. In particular guided by the Laplacian case one establishes analogous results for the p-Laplacian and operators of this type.Key words: p-Laplace operator ...
Hauer, Daniel, Chipot, Michel
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Positive solutions for fractional differential equations with variable coefficients
Electronic Journal of Differential Equations, 2012 In this article, we study the existence of the positive solutions for a class of differential equations of fractional order with variable coefficients.
Yi Chen, Zhanmei Lv
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