Results 31 to 40 of about 641,065 (281)

Maximum principles and Aleksandrov-Bakelman-Pucci type estimates for non-local Schr\"odinger equations with exterior conditions [PDF]

open access: yes, 2019
We consider Dirichlet exterior value problems related to a class of non-local Schr\"odinger operators, whose kinetic terms are given in terms of Bernstein functions of the Laplacian.
Biswas, Anup, Lőrinczi, József
core   +2 more sources

On a Theorem of Liouville's [PDF]

open access: yesProceedings of the London Mathematical Society, 1893
n ...
openaire   +2 more sources

Liouville theorems for Kirchhoff-type parabolic equations and system on the Heisenberg group

open access: yesOpen Mathematics, 2023
In this article, the Liouville theorems for the Kirchhoff-type parabolic equations on the Heisenberg group were established. The main technique for proving the result relies on the method of test functions.
Shi Wei
doaj   +1 more source

A Note on Parabolic Liouville Theorems and Blow-Up Rates for a Higher-Order Semilinear Parabolic System

open access: yesInternational Journal of Differential Equations, 2011
We improve some results of Pan and Xing (2008) and extend the exponent range in Liouville-type theorems for some parabolic systems of inequalities with the time variable on R.
Guocai Cai, Hongjing Pan, Ruixiang Xing
doaj   +1 more source

On Holditch and Liouville theorems

open access: yesCommunications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1995
In this work, we show the connection between the Liouvüle theorem in mechanics and the Holditch theorem in geometry.
A. K. Amirov, H . Hilmi Hacisalihoğlu
openaire   +3 more sources

Extensions of a theorem of Cauchy–Liouville

open access: yesJournal of Mathematical Analysis and Applications, 2010
AbstractWe deal with the equations Δpu+f(u)=0 and Δpu+(p−1)g(u)|∇u|p+f(u)=0 in RN, where g(t) is a continuous function in (0,∞), p>1 and f(t) is a smooth function for t>0. Under appropriate conditions on g and f we show that the corresponding equation cannot have nontrivial non-negative entire solutions.
CUCCU, FABRIZIO, MOHAMMED A, PORRU G.
openaire   +2 more sources

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

Quasilinear elliptic equations with critical potentials

open access: yesAdvances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

Improved Liouville theorems for axially symmetric Navier-Stokes equations [PDF]

open access: yes, 2017
In this paper, we consider the Liouville property for ancient solutions of the incompressible Navier-Stokes equations. In 2D and 3D axially-symmetric cases without swirl, we prove the sharp Liouville theorems for smooth ancient mild solutions: Velocity ...
Zhen Lei, Qi S. Zhang, Na Zhao
semanticscholar   +1 more source

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