Classification and refined singularity of positive solutions for nonlinear Maxwell equations arising in mesoscopic electromagnetism
type: Item
instance of: scholarly article
title: Classification and refined singularity of positive solutions for nonlinear Maxwell equations arising in mesoscopic electromagnetism
zbMATH Open document ID: 1304.35666
author: Yujin Guo
author: Gao-Feng Zheng
published in: Journal of Functional Analysis
publication date: 2014-12-02T00:00:00Z
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35J75
zbMATH DE Number: 6376091
zbMATH Keywords: classification
zbMATH Keywords: refined singularity
zbMATH Keywords: positive solutions
zbMATH Keywords: nonlinear Maxwell equations
MaRDI profile type: Publication
full work available at URL: j.jfa.2013.10.004
OpenAlex ID: W2023394922
cites work: Singularities for a 2-dimensional semilinear elliptic equation with a non-Lipschitz nonlinearity
cites work: Anisotropic singularities of solutions of nonlinear elliptic equations in \({\mathbb{R}}^ 2\)
cites work: On partial regularity of the borderline solution of semilinear parabolic problems
cites work: Existence of selfsimilar shrinking curves for anisotropic curvature flow equations
cites work: A stable manifold theorem for the curve shortening equation
cites work: The heat equation shrinking convex plane curves
cites work: Elliptic partial differential equations of second order
cites work: Asymptotic behavior of oscillating radial solutions to certain nonlinear equations. II.
cites work: Asymptotic behavior of oscillating radial solutions to certain nonlinear equations
cites work: Existence of singular positive solutions for some semilinear elliptic equations
cites work: Elliptic partial differential equations
cites work: A new approach to some nonlinear geometric equations in dimension two
cites work: Foundations of classical electrodynamics. Charge, flux, and metric
cites work: Linear stability of steady states for thin film and Cahn-Hilliard type equations
cites work: Properties of positive solutions to an elliptic equation with negative exponent
cites work: Stable and singular solutions of the equation $Delta u = 1/u$
cites work: Magnetic oscillations and Maxwell theory
cites work: On an equation arising from the geometry of Riemannian submersions
cites work: Nonlinear Maxwell theory and electrons in two dimensions
cites work: The (fully) nonlinear Maxwell theory delineated
cites work: Parametric models of the Hall effect in the strongly correlated regime
cites work: A quasi-monotonicity formula and partial regularity for borderline solutions to a parabolic equation
DOI: 10.1016/J.JFA.2013.10.004
description: scientific article; zbMATH DE number 6376091