Results 91 to 100 of about 641,065 (281)
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
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Lp - Liouville theorems for invariant evolution equations
Bruno Pini Mathematical Analysis Seminar, 2014 Some Liouville-type theorems in Lebesgue spaces for several classes of evolution equations are presented. The involved operators are left invariant with respect to Lie group composition laws. Results for both solutions and sub-solutions are given.
Alessia E. Kogoj
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Liouville theorems for stable Lane–Emden systems and biharmonic problems [PDF]
, 2012 We examine the elliptic system given by 1 for 1 < p ⩽ θ and the fourth order scalar equation 2 where 1 < θ. We prove various Liouville type theorems for positive stable solutions.
C. Cowan
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
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Liouville Theorem for Dunkl Polyharmonic Functions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 Assume that $f$ is Dunkl polyharmonic in $\mathbb{R}^n$ (i.e. $(\Delta_h)^p f=0$ for some integer $p$, where $\Delta_h$ is the Dunkl Laplacian associated to a root system $R$ and to a multiplicity function $\kappa$, defined on $R$ and invariant with respect to the finite Coxeter group).
Ren, G., Liu, L.
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Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12587-12607, August 2025.ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan +3 more
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Boundary Value ProblemsThe purpose of this paper is to study a generalized Riemann–Liouville fractional differential equation and system with nonlocal boundary conditions. Firstly, some properties of the Green function are presented and then Lyapunov-type inequalities for a ...
Faouzi Haddouchi, Mohammad Esmael Samei
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On the Fractional Inequalities of the Milne Type
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10833-10840, 30 July 2025.ABSTRACT Our investigations in this paper revolve around exploring fractional variants of inequalities of Milne type by applying twice differentiable convex mappings. Based on some principles of convexity, Hölder inequality, and power‐mean inequality, novel inequalities are derived.
Hüseyin Budak +2 more
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Another proof of the Liouville theorem [PDF]
Annales Academiae Scientiarum Fennicae Mathematica, 2013 We provide another proof of the Liouville theorem that conformal mappings in the dimensions at least three are Mobius transformations under the assumption that the mapping is 1-quasiconformal. Our method employs the Ahlfors Cauchy–Riemann operator.
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SOME REMARKS ON LIOUVILLE TYPE THEOREMS [PDF]
Recent Advances in Nonlinear Analysis, 2008 The goal of this note is to present elementary proofs of statements related to the Liouville theorem.
Brezis, H, Chipot, M, Xie, Y
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