Results 111 to 120 of about 6,857,278 (209)

Liouville theorems in halfspaces for parabolic hypoelliptic equations

, 2006
We prove some one-side Liouville-type theorems in halfspaces for a class of evolution hypoelliptic equations. The operators we deal with are left translation invariant, and homogeneous of degree two, on homogeneous Lie groups on $mathbb{R}^{N+1}$
Lanconelli, Ermanno, Ermanno Lanconelli, KOGOJ, ALESSIA ELISABETTA   +2 more
core   +1 more source

Existence of solutions for a two-point boundary-value problem of a fourth-order Sturm-Liouville type

Electronic Journal of Differential Equations, 2012
In this work, we establish the existence of two intervals for a parameter $lambda$ for which a two-point boundary-value problem of fourth-order Sturm-Liouville type admits three weak solutions whose norms are uniformly bounded with respect to $lambda$.
Shapour Heidarkhani
doaj  

Solvability of a Riemann–Liouville-Type Fractional-Impulsive Differential Equation with a Riemann–Stieltjes Integral Boundary Condition

Fractal and Fractional
In this work, we address the solvability of a Riemann–Liouville-type fractional-impulsive integral boundary value problem. Under some conditions on the spectral radius corresponding to the related linear operator, we use fixed-point methods to obtain ...
Keyu Zhang, Donal O’Regan, Jiafa Xu
doaj   +1 more source

A Liouville type theorem for \(p\)-Laplace equations

Electronic Journal of Differential Equations, 2015
Summary: In this note we study solutions defined on the whole space \(\mathbb R^N\) for the \(p\)-Laplace equation \[ \operatorname{div}(| \nabla u|^{p-2}\nabla u)+f(u)=0. \] Under an appropriate condition on the growth of \(f\), which is weaker than conditions previously considered in [\textit{J. A. McCoy}, Differ. Integral Equ. 20, No. 10, 1153--1166
openaire   +2 more sources

A New Proof of a Liouville-Type Theorem for Polyharmonic Functions

Real Analysis Exchange, 2005
The author gives simple proofs of Pizetti's formula and as a corollary, the Liouville theorem for polyharmonic functions.
openaire   +3 more sources

Liouville type theorems for fourth order elliptic equationsin a half plane

, 1995
Friedman, A.; Velazquez, J.J.L.. (1995). Liouville type theorems for fourth order elliptic equationsin a half plane.
Friedman, A., Velazquez, J.J.L.
core  

Uniqueness of solutions to singular Liouville-type equations

, 2018
We deduce new uniqueness results for solutions to singular Liouville-type equations both on spheres and on bounded domains, as well as new self-contained proofs of previously known results.
Jevnikar, Aleks
core   +1 more source

On the confinement of bounded entire solutions to a class of semilinear elliptic systems [PDF]

, 2014
Under appropriate assumptions, we show that all bounded entire solutions to a class of semilinear elliptic systems are confined in a convex domain. Moreover, we prove a Liouville type theorem in the case where the domain is strictly convex.
Sourdis, Christos, Christos Sourdis
core  

Groupe I : Mathématiques Liouville type theorems and applications par Christophe Troestler Rapports des commissaires

, 1997
Mawhin Jean, Van Moerbeke Pierre, Cohen Michel. Groupe I : Mathématiques Liouville type theorems and applications par Christophe Troestler Rapports des commissaires . In: Bulletin de la Classe des sciences, tome 8, n°7-12, 1997. pp.
Cohen, Michel, Mawhin, Jean, Van Moerbeke, Pierre   +2 more
core  

Investigation of a Lyapunov delta-type inequality with respect to a discrete fractional Green's function. [PDF]

Sci Rep
Mohammed PO, Arab M.
europepmc   +1 more source