Results 41 to 50 of about 651,324 (288)
Liouville Theorems for a General Class of Nonlocal Operators [PDF]
, 2015 In this paper, we study the equation ℒu=0$\mathcal {L} u=0$ in ℝN$\mathbb {R}^{N}$, where ℒ$\mathcal {L}$ belongs to a general class of nonlocal linear operators which may be anisotropic and nonsymmetric.
M. Fall, T. Weth
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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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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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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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Weighted ${L^p}$-Liouville Theorems for Hypoelliptic Partial Differential Operators on Lie Groups
, 2015 We prove weighted $L^p$-Liouville theorems for a class of second order hypoelliptic partial differential operators $\mathcal{L}$ on Lie groups $\mathbb{G}$ whose underlying manifold is $n$-dimensional space.
Bonfiglioli, Andrea, Kogoj, Alessia E.
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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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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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Higher-dimensional solutions for a nonuniformly elliptic equation
, 2013 We prove $m$-dimensional symmetry results, that we call $m$-Liouville theorems, for stable and monotone solutions of the following nonuniformly elliptic equation \begin{eqnarray*}\label{mainequ} - div(\gamma(\mathbf x') \nabla u(\mathbf x)) =\lambda ...
Fazly, Mostafa
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AIMS Mathematics, 2023 This paper is concerned with the study of a new class of boundary value problems involving a right Caputo fractional derivative and mixed Riemann-Liouville fractional integral operators, and a nonlocal multipoint version of the closed boundary conditions.
Bashir Ahmad +3 more
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Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense
, 2013 We prove Noether-type theorems for fractional isoperimetric variational problems with Riemann-Liouville derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples, in the fractional context of the calculus of variations,
Almeida +39 more
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