Results 101 to 110 of about 1,718 (227)

Liouville type theorem for a singular elliptic equation with finite Morse index

open access: yesBoundary Value Problems, 2019
This paper considers the nonexistence of solutions for the following singular quasilinear elliptic problem: 0.1 {−div(|x|−ap|∇u|p−2∇u)=f(|x|)|u|r−1u,x∈R+N,|x|−ap|∇u|p−2∂u∂ν=g(|x|)|u|q−1u,on ∂R+N, $$\begin{aligned} \textstyle\begin{cases} -\operatorname ...
Zonghu Xiu   +3 more
doaj   +1 more source

A Liouville type theorem for Carnot groups

open access: yes, 2010
11 ...
Ottazzi, Alessandro, Warhurst, Ben
openaire   +2 more sources

Exponential stability of solutions of nonlinear fractionally perturbed ordinary differential equations

open access: yesElectronic Journal of Differential Equations, 2017
The main aim of this paper is to prove a theorem on the exponential stability of the zero solution of a class of integro-differential equations, whose right-hand sides involve the Riemann-Liouville fractional integrals of different orders and we ...
Eva Brestovanska, Milan Medved
doaj  

Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator

open access: yesAdvances in Difference Equations, 2018
In this article, by using nonlinear Leray–Schauder-type alternative and Banach’s fixed point theorem, we investigate existence and uniqueness of solutions.
Hasib Khan   +4 more
doaj   +1 more source

On a Liouville-type theorem for the Ginzburg–Landau system

open access: yesComptes Rendus. Mathématique, 2017
We prove that entire, complex valued solutions to the Ginzburg–Landau system with positive real and imaginary parts are constant in any spatial dimension. This property was shown very recently only in the planar case.
openaire   +1 more source

The sharp exponent for a Liouville-type theorem for an elliptic inequality

open access: yes, 2002
We determine the sharp exponent for a Liouville-type theorem for an elliptic inequality. This answers a question raised in [1] which is related to a conjecture by De Giorgi [5]
GAZZOLA, FILIPPO
core  

Determinanten von Sturm-Liouville Operatoren [PDF]

open access: yes, 2016
In dieser Arbeit wird dem Versuch nachgegangen, eine Art Determinante für gewisse Differentialoperatoren zu definieren. Dabei wird zunächst auf die Sturm-Liouville´sche Eigenwerttheorie eingegangen und abschließend ein Theorem aus "Theorem on Infinite ...
Alberts, Henning
core  

Variational inclusions for a Sturm-Liouville type differential inclusion [PDF]

open access: yes, 2005
summary:We establish several variational inclusions for solutions of a nonconvex Sturm-Liouville type differential inclusion on a separable Banach ...
Cernea, Aurelian   +2 more
core   +1 more source

A Note on Fractional Equations of Volterra Type with Nonlocal Boundary Condition

open access: yesAbstract and Applied Analysis, 2013
We deal with nonlocal boundary value problems of fractional equations of Volterra type involving Riemann-Liouville derivative. Firstly, by defining a weighted norm and using the Banach fixed point theorem, we show the existence and uniqueness of ...
Zhenhai Liu, Rui Wang
doaj   +1 more source

ON THE LIOUVILLE THEOREM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A CRITICAL SPACE [PDF]

open access: yes, 2011
In this paper we prove Liouville type theorem for the stationary Navier-Stokes equations on R3. More speci cally, if a solution u 2 _H 1(R3) \ L1(R3) to the stationary Navier-Stokes system satis es additional conditions characterized by the de- cays near
Yoneda, Tsuyoshi, Chae, Dongho
core   +1 more source

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