Results 11 to 20 of about 29,180 (228)
A Liouville type theorem for p-Laplace equations
Electronic Journal of Differential Equations, 2015 In this note we study solutions defined on the whole space R^N for the p-Laplace equation $$ \hbox{div}(| \nabla u|^{p-2}\nabla u)+f(u)=0. $$ Under an appropriate condition on the growth of f, which is weaker than conditions previously considered ...
Cristian Enache
doaj +2 more sources
A Liouville-Type Theorem for Harmonic Functions on Exterior Domains
Journal of Mathematical Analysis and Applications, 2000 Liouville's classical theorem assures that every harmonic function on the whole space Rn that is moreover bounded from below is a constant. It is easy to observe that, generally, the same result does not hold if we replace the whole space Rn with an ...
Chinnì, A., Cammaroto, F.
core +3 more sources
A LIOUVILLE-TYPE THEOREM ON HALF-SPACES FOR SUB-LAPLACIANS [PDF]
Proceedings of the American Mathematical Society, 2015 Let L be a sub-Laplacian on LN and let G = (LN, ◦, δλ) be its related homogeneous Lie group. Let E be a Euclidean subgroup of LN such that the orthonormal projection π: G -→ E is a homomorphism of homogeneous groups, and let (,) be an inner product in E.
KOGOJ, ALESSIA ELISABETTA
core +5 more sources
New Liouville-type theorem for the stationary tropical climate model
Applied Mathematics LettersWe study the Liouville-type theorem for smooth solutions to the steady 3D tropical climate model. We prove the Liouville-type theorem if a smooth solution satisfies a certain growth condition in terms of $L^p$-norm on annuli, which improves the previous ...
Youseung Cho, Hyunjin In, Minsuk Yang
exaly +2 more sources
Liouville Theorem for Heat Equation Along Ancient Super Ricci Flow Via Reduced Geometry [PDF]
Journal of Geometric Analysis, 2021 The aim of this article is to provide a Liouville theorem for heat equation along ancient super Ricci flow. We formulate such a Liouville theorem under a growth condition concerning Perelman’s reduced distance.journal ...
Keita Kunikawa, Yohei Sakurai
exaly +1 more source
Robustness for a Liouville type theorem in exterior domains [PDF]
Journal of Dynamics and Differential Equations, 2014 Cet article est une nouvelle version de l'article "Bistable traveling wave passing an obstacle: a perturbation result" déposé le 26/06/2012 de référence hal-00712065.We are interested in the robustness of a Liouville type theorem for a reaction diffusion
Bouhours, Juliette
core +3 more sources
The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated.
Seyfollah Mosazadeh
doaj +1 more source
Axioms, 2023 This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional differential equations of variable order involving finite delays.
Benoumran Telli +2 more
doaj +1 more source
Existence Results for Fractional Differential Equations Under Weak Topology Features
Pan-American Journal of Mathematics, 2022 Using Krasnoselskii type fixed point theorem under the weak topology, we establish some sufficient conditions to ensure the existence of the weak solutions for kinds of initial value problems of fractional differential equations, involving Riemann ...
Ahmed Hallaci +3 more
doaj +1 more source
Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
doaj +1 more source