Results 21 to 30 of about 139,246 (209)
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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On a Theorem of Liouville's [PDF]
Proceedings of the London Mathematical Society, 1893 n ...
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Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems [PDF]
, 2011 summary:In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the ...
Földes, Juraj, Juraj Földes Nashville
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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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Liouville theorems for harmonic maps [PDF]
, 1992 We prove several Liouville theorems for harmonic maps between certain classes of Riemannian manifolds. In particular, the results can be applied to harmonic maps from the Euclidean space ( R m , g 0 ) to a large class of Riemannian manifolds.
Jin, Zhiren
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Liouville’s theorem for generalized harmonic function [PDF]
Analysis and Mathematical Physics, 2020 In this paper, we give a more physical proof of Liouville's theorem for a class generalized harmonic functions by the method of parabolic equation.
Weihua Wang, Qihua Ruan
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Journal of Function Spaces, 2021 The existence of three solutions for nonlinear operator equations is established via index theory for linear self-adjoint operator equations, critical point reduction method, and three critical points theorems obtained by Brezis-Nirenberg, Ricceri, and ...
Mingliang Song, Shuyuan Mei
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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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The Partial Inverse Spectral and Nodal Problems for Sturm–Liouville Operators on a Star-Shaped Graph
Mathematics, 2022 We firstly prove the Horváth-type theorem for Sturm–Liouville operators on a star-shaped graph and then solve a new partial inverse nodal problem for this operator.
Xian-Biao Wei +2 more
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A Two Well Liouville Theorem [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2005 Summary: We analyse the structure of approximate solutions to the compatible two-well problem with the constraint that the surface energy of the solution is less than some fixed constant. We prove a quantitative estimate that can be seen as a two-well analogue of the Liouville theorem of \textit{G. Friesecke}, \textit{R. D. James} and \textit{S. Müller}
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