Results 31 to 40 of about 629,413 (279)
Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity [PDF]
Differential and Integral Equations, 2014 In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near ...
Amal Attouchi
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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 Liouville theorem for the subcritical Lane-Emden system [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2014 In this paper, we present a necessary and sufficient condition to the Lane-Emden conjecture. This condition is an energy type of integral estimate on solutions to subcritical Lane-Emden system. To approach the long standing and interesting conjecture, we
Ze Cheng, Genggeng Huang, Congming Li
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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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Asymptotic Stability Results for Nonlinear Fractional Difference Equations
Journal of Applied Mathematics, 2012 We present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involvingRiemann-Liouville-likedifference operator.
Fulai Chen, Zhigang Liu
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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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On the Liouville theorem for weak Beltrami flows [PDF]
, 2015 We study Beltrami flows in the setting of weak solution to the stationary Euler equations in R3. For this weak Beltrami flow we prove the regularity and the Liouville property.
D. Chae, J. Wolf
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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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An extension of Milloux's theorem to half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2000 A theorem of Milloux (1934) concerning the Sturm-Liouville differential equations is extended to the so-called half-linear differential equations.
Á. Elbert, F. V. Atkinson
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Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential
Entropy, 2017 In this paper, we study the existence of homoclinic solutions for the fractional Hamiltonian systems with left and right Liouville–Weyl derivatives. We establish some new results concerning the existence and multiplicity of homoclinic solutions for the ...
Neamat Nyamoradi +3 more
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