Results 31 to 40 of about 651,324 (288)
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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A proof of Liouville’s theorem [PDF]
Proceedings of the American Mathematical Society, 1961 1. S. Bochner, Group invariance of Cauchy's formula in several variables, Ann. of Math. vol. 45 (1944) pp. 686-707. 2. E. Heinz, Ein v. Neumannscher Satz iuber beschriinkte Operatoren im Hilbertschen Raum, Nachr. Akad. Wiss. Gottingen. Math.-Phys. Kl. Ila. (1952) pp. 5-6. 3. J.
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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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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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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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Extensions of a theorem of Cauchy–Liouville
Journal of Mathematical Analysis and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CUCCU, FABRIZIO, MOHAMMED A, PORRU G.
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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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A Liouville theorem for Lévy generators [PDF]
Positivity, 2020 AbstractUnder mild assumptions, we establish a Liouville theorem for the “Laplace” equation $$Au=0$$ A u = 0 associated with the infinitesimal generator A of a Lévy process: If u is a weak solution to $$Au=0$$
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Liouville theorems and classification results for a nonlocal Schrödinger equation
, 2018 In this paper, we study the existence and the nonexistence of positive classical solutions of the static Hartree-Poisson equation \begin{document}$-Δ u = pu^{p-1}(|x|^{2-n}*u^p),\;\; u>0 \;\;in\;\; R^n, $ \end{document} where \begin{document}$n ≥ 3$\end ...
Y. Lei
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