Results 31 to 40 of about 646,050 (293)
Liouville theorems for Kirchhoff-type parabolic equations and system on the Heisenberg group
Open 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
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International 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
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A C^1 Arnol'd-Liouville theorem
Astérisque, 2020 In this paper, we prove a version of Arnol'd-Liouville theorem for C 1 commuting Hamiltonians. We show that the Lipschitz regularity of the foliation by invariant Lagrangian tori is crucial to determine the Dynamics on each Lagrangian torus and that the C 1 regularity of the foliation by invariant Lagrangian tori is crucial to prove the continuity of ...
Marie-Claude Arnaud, Jinxin Xue
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Ambarzumyan Type Theorems for a Class of Sturm-Liouville Problem
Cumhuriyet Science Journal, 2017 In this paper, we prove Ambarzumyan type theorems foran impulsive Sturm–Liouville problem with eigenparameter in the boundaryconditions.
A. Sinan Özkan, Yaşar Çakmak
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Liouville theorems and $1$-dimensional symmetry for solutions of an elliptic system modelling phase separation [PDF]
, 2015 We consider solutions of the competitive elliptic system \[ \left\{ \begin{array}{ll} -\Delta u_i = - \sum_{j \neq i} u_i u_j^2 & \text{in $\mathbb{R}^N$} \\ u_i >0 & \text{in $\mathbb{R}^N$} \end{array}\right. \qquad i=1,\dots,k.
Soave, Nicola, Terracini, Susanna
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Quasilinear elliptic equations with critical potentials
Advances in Nonlinear Analysis, 2017 We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Improved Liouville theorems for axially symmetric Navier-Stokes equations [PDF]
, 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
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Liouville theorems for stable solutions of biharmonic problem
, 2013 Juncheng Wei, D. Ye
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A new kind of uniqueness theorems for inverse Sturm-Liouville problems
Boundary 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
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Extensions of a theorem of Cauchy–Liouville
Journal 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.
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