Results 71 to 80 of about 646,050 (293)

The Liouville theorems for elliptic equations with nonstandard growth [PDF]

open access: yes, 2014
We study solutions and supersolutions of homogeneous and nonhomogeneous $\mathcal{A}$-harmonic equations with nonstandard growth in $\mathbb{R}^n$. Various Liouville-type theorems and nonexistence results are proved.
Tomasz Adamowicz, P. G'orka
semanticscholar   +1 more source

A theorem on the Riemann-Liouville integral

open access: yesMathematische Zeitschrift, 1951
1. M. RiEsz [7, w167 5, 6, 7] 1) has proved a theorem on the Rm~A~L1ovvmLE integral which includes the following as a useful special case. T h e o r e m A.
RAJAGOPAL, C.T., Parthasarathy, M.
openaire   +3 more sources

Dimer models and conformal structures

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala   +3 more
wiley   +1 more source

On Vanishing Theorems For Vector Bundle Valued p-Forms And Their Applications

open access: yes, 2010
Let $F: [0, \infty) \to [0, \infty)$ be a strictly increasing $C^2$ function with $F(0)=0$. We unify the concepts of $F$-harmonic maps, minimal hypersurfaces, maximal spacelike hypersurfaces, and Yang-Mills Fields, and introduce $F$-Yang-Mills fields, $F$
A Jaffe   +47 more
core   +1 more source

Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups

open access: yesAdvances in Nonlinear Analysis, 2018
Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

On Hybrid Type Nonlinear Fractional Integrodifferential Equations

open access: yesMathematics, 2020
In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the ...
Faten H. Damag   +2 more
doaj   +1 more source

A Liouville theorem for Lévy generators [PDF]

open access: yesPositivity, 2020
AbstractUnder mild assumptions, we establish a Liouville theorem for the “Laplace” equation $$Au=0$$ A u = 0 associated with the infinitesimal generator A of a Lévy process: If u is a weak solution to $$Au=0$$
openaire   +2 more sources

Supercritical Pitchfork Bifurcation of a Fractional‐Order Doubly‐Fed Induction Generator

open access: yesEnergy Science &Engineering, EarlyView.
ABSTRACT To address the problem of the chaos phenomenon caused by the parameter drift of a doubly‐fed induction generator (DFIG) due to a changing operating environment, a fractional‐order stator voltage/flux‐oriented control model is developed, and bifurcation theory and numerical simulations reveal that the chaos mechanism originates from ...
Wei Chen   +4 more
wiley   +1 more source

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

open access: yes, 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

Inverse spectral problems for Sturm--Liouville operators with matrix-valued potentials

open access: yes, 2009
We give a complete description of the set of spectral data (eigenvalues and specially introduced norming constants) for Sturm--Liouville operators on the interval $[0,1]$ with matrix-valued potentials in the Sobolev space $W_2^{-1}$ and suggest an ...
Adams R A   +29 more
core   +2 more sources

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