Results 41 to 50 of about 654,091 (289)
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
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
core +1 more source
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.
openaire +4 more sources
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
doaj +1 more source
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
semanticscholar +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
A proof of Liouville’s theorem [PDF]
Proceedings of the American Mathematical Society, 1961 1. S. Bochner, Group invariance of Cauchy's formula in several variables, Ann. of Math. vol. 45 (1944) pp. 686-707. 2. E. Heinz, Ein v. Neumannscher Satz iuber beschriinkte Operatoren im Hilbertschen Raum, Nachr. Akad. Wiss. Gottingen. Math.-Phys. Kl. Ila. (1952) pp. 5-6. 3. J.
openaire +1 more source
Liouville theorems for Dirac-harmonic maps [PDF]
Journal of Mathematical Physics, 2007 We prove Liouville theorems for Dirac-harmonic maps from the Euclidean space Rn, the hyperbolic space Hn, and a Riemannian manifold Sn (n⩾3) with the Schwarzschild metric to any Riemannian manifold N.
Chen, Qun, Jost, Jürgen, Wang, Guofang
openaire +2 more sources