Results 11 to 20 of about 1,963 (215)
On Cauchy–Liouville-type theorems
Advances in Nonlinear Analysis, 2017 In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Ahmed Mohammed
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A view on Liouville theorems in PDEs [PDF]
Analysis and Geometry in Metric SpacesOur review of Liouville theorems includes a special focus on nonlinear partial differential equations and inequalities.
Enzo Mitidieri
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Sharp Liouville Theorems [PDF]
Advanced Nonlinear Studies, 2021 Consider the equation div(φ2∇σ)=0{\operatorname{div}(\varphi^{2}\nabla\sigma)=0} in ℝN{\mathbb{R}^{N}}, where φ>0{\varphi>0}. Berestycki, Caffarelli and Nirenberg proved in [H. Berestycki, L. Caffarelli and L. Nirenberg, Further qualitative properties
Villegas Salvador
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A Contribution of Liouville-Type Theorems to the Geometry in the Large of Hadamard Manifolds
Mathematics, 2022 A complete, simply connected Riemannian manifold of nonpositive sectional curvature is called a Hadamard manifold. In this article, we prove Liouville-type theorems for isometric and harmonic self-diffeomorphisms of Hadamard manifolds, as well as ...
Josef Mikeš +2 more
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Comparison and oscillation theorems for singular Sturm-Liouville operators [PDF]
Opuscula Mathematica, 2014 We prove analogues of the classical Sturm comparison and oscillation theorems for Sturm-Liouville operators on a finite interval with real-valued distributional potentials.
Monika Homa, Rostyslav Hryniv
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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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Liouville Theorems for Fractional Parabolic Equations
Advanced Nonlinear Studies, 2021 In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouville theorems, such as narrow region principles and maximum principles for
Wenxiong Chen, Leyun Wu
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Liouville Theorems for a Class of Linear Second-Order Operators with Nonnegative Characteristic Form
Boundary Value Problems, 2007 We report on some Liouville-type theorems for a class of linear second-order partial differential equation with nonnegative characteristic form. The theorems we show improve our previous results.
Alessia Elisabetta Kogoj +1 more
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Some Liouville Theorems on Finsler Manifolds
Mathematics, 2019 We give some Liouville type theorems of L p harmonic (resp. subharmonic, superharmonic) functions on a complete noncompact Finsler manifold.
Minqiu Wang, Songting Yin
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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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