Results 71 to 80 of about 654,091 (289)

Aspects of (2+1) dimensional gravity: AdS3 asymptotic dynamics in the framework of Fefferman-Graham-Lee theorems [PDF]

, 1999
Using the Chern-Simon formulation of (2+1) gravity, we derive, for the general asymptotic metrics given by the Fefferman-Graham-Lee theorems, the emergence of the Liouville mode associated to the boundary degrees of freedom of (2+1) dimensional anti de ...
Rooman, M., Spindel, Ph.
core   +1 more source

Liouville theorems for the polyharmonic Henon-Lane-Emden system [PDF]

, 2013
We study Liouville theorems for the following polyharmonic H\'{e}non-Lane-Emden system \begin{eqnarray*} \left\{\begin{array}{lcl} (-\Delta)^m u&=& |x|^{a}v^p \ \ \text{in}\ \ \mathbb{R}^n,\\ (-\Delta)^m v&=& |x|^{b}u^q \ \ \text{in}\ \ \mathbb{R}^n ...
Mostafa Fazly
semanticscholar   +1 more source

Koenigs Theorem and Superintegrable Liouville Metrics

Symmetry, Integrability and Geometry: Methods and Applications, 2023
In a first part, we give a new proof of Koenigs theorem and, in a second part, we determine the local form of all the superintegrable Riemannian Liouville metrics as well as their global geometries.
openaire   +2 more sources

Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System

Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 2098-2113, February 2026.
ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
wiley   +1 more source

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

Existence and Multiplicity Results for Degenerate Elliptic Equations with Dependence on the Gradient

Boundary Value Problems, 2007
We study the existence of positive solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and Liouville-type theorems to obtain a ...
Sebastian Lorca, Leonelo Iturriaga
doaj   +2 more sources

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
semanticscholar   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source

On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians

Annalen der Physik, Volume 538, Issue 1, January 2026.
Stochastic Hamiltonian formulations of open quantum dynamics are revisited, highlighting their roots in stochastic calculus. The connections among stochastic Hamiltonians, stochastic Schrödinger equations, and master‐equation approaches are made explicit.
Pietro De Checchi, Federico Gallina, Barbara Fresch, Giulio G. Giusteri   +3 more
wiley   +1 more source

On the existence of solutions for nonlocal sequential boundary fractional differential equations via ψ-Riemann–Liouville derivative

Boundary Value Problems
The 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
doaj   +1 more source