Results 31 to 40 of about 695,650 (225)

On a Theorem of Liouville's [PDF]

open access: yesProceedings of the London Mathematical Society, 1893
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A Liouville theorem for the p-Laplacian and related questions [PDF]

open access: yesCalculus of Variations and Partial Differential Equations, 2017
We prove several classification results for p-Laplacian problems on bounded and unbounded domains, and deal with qualitative properties of sign-changing solutions to p-Laplacian equations on RN\documentclass[12pt]{minimal} \usepackage{amsmath ...
A. Farina, C. Mercuri, M. Willem
semanticscholar   +1 more source

Dissipative Sturm-Liouville Operators with Transmission Conditions

open access: yesAbstract and Applied Analysis, 2013
In this paper we study dissipative Sturm-Liouville operators with transmission conditions. By using Pavlov’s method (Pavlov 1947, Pavlov 1981, Pavlov 1975, and Pavlov 1977), we proved a theorem on completeness of the system of eigenvectors and associated
Hüseyin Tuna, Aytekin Eryılmaz
doaj   +1 more source

A new kind of uniqueness theorems for inverse Sturm-Liouville problems

open access: yesBoundary Value Problems, 2017
We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyan’s theorem.
Yuri Ashrafyan
doaj   +1 more source

Extensions of a theorem of Cauchy–Liouville

open access: yesJournal of Mathematical Analysis and Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CUCCU, FABRIZIO, MOHAMMED A, PORRU G.
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Asymptotic Stability Results for Nonlinear Fractional Difference Equations

open access: yesJournal of Applied Mathematics, 2012
We present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involvingRiemann-Liouville-likedifference operator.
Fulai Chen, Zhigang Liu
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An extension of Milloux's theorem to half-linear differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2000
A theorem of Milloux (1934) concerning the Sturm-Liouville differential equations is extended to the so-called half-linear differential equations.
Á. Elbert, F. V. Atkinson
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Liouville theorem for weighted p-Lichnerowicz equation on smooth metric measure space

open access: yesJournal of Differential Equations, 2019
In this paper, let ( M n , g , d μ ) be n-dimensional noncompact metric measure space which satisfies Poincare inequality with some Ricci curvature condition. We obtain a Liouville theorem for positive weak solutions to weighted p-Lichnerowicz equation △
Liang-cai Zhao
semanticscholar   +1 more source

A mean value formula and a Liouville theorem for the complex Monge-Amp\`ere equation [PDF]

open access: yes, 2017
In this paper, we prove a mean value formula for bounded subharmonic Hermitian matrix valued function on a complete Riemannian manifold with nonnegative Ricci curvature.
Chao Li, Jiayu Li, Xi Zhang
semanticscholar   +1 more source

Weak Liouville-Arnol′d Theorems and Their Implications [PDF]

open access: yesCommunications in Mathematical Physics, 2012
This paper studies the existence of invariant smooth Lagrangian graphs for Tonelli Hamiltonian systems with symmetries. In particular, we consider Tonelli Hamiltonians with n independent but not necessarily involutive constants of motion and obtain two theorems reminiscent of the Liouville-Arnold theorem.
Butler, L. T, SORRENTINO, ALFONSO
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