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A Strong Version of Liouville's Theorem
The American Mathematical Monthly, 20081. THE MAIN RESULT. Liouville's theorem states that every bounded holomor phic function on C is constant. Let us recall that holomorphic functions / on open subsets U of the complex plane have the mean value property, that is, for every closed disk B(z,r) in U, the value of / at its center z is equal to the average of the values of f on the circle S(z ...
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Phragmen-Liouville-type theorems and Liouville theorems for a linear parabolic equation
Mathematical Notes of the Academy of Sciences of the USSR, 1985The author proves some results of Phragmén-Lindelöf type and some Liouville type theorems applying to a class of linear parabolic equations with measurable coefficients.
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Another Approach to Liouville Theorem
Mathematische Nachrichten, 1982Bojarski, B., Iwaniec, T.
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Nonlocal Liouville theorems with gradient nonlinearity
Journal of Functional AnalysisAnup Biswas, A. Quaas, Erwin Topp
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Liouville theorems for nonlinear elliptic equations in half-spaces
Journal d'Analyse Mathematique, 2019J. García-Melián, A. Quaas, B. Sirakov
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Liouville quantum gravity — holography, JT and matrices
Journal of High Energy Physics, 2021Gustavo Joaquin Turiaci
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