Evaluating solutions on an elliptic problem in a gravitational gauge field theory

DOI10.1016/J.JFA.2013.05.041zbMath1286.35236OpenAlexW2039168141MaRDI QIDQ2436861

Sze-Guang Yang, Jann-Long Chern

Publication date: 27 February 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.05.041

zbMATH Keywords

nonlinear elliptic equationgravitational gauge field equationuniqueness and classification of symmetric solutions

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (13)

The existence of solutions for the gravitational Maxwell gauged O(3) model on compact surfaces ⋮ On anisotropic singularities for semi-linear elliptic equations in \(\mathbb{R}^2\) ⋮ Classification of string solutions for the self-dual Einstein-Maxwell-Higgs model ⋮ The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory ⋮ Existence of topological multi-string solutions in Abelian gauge field theories ⋮ Existence of non-topological multi-string solutions for a gravitational $O(3)$ gauge field model ⋮ Uniqueness of positive solutions to some coupled cooperative variational elliptic systems ⋮ Asymptotic behaviors of governing equation of gauged sigma model for Heisenberg ferromagnet ⋮ Classification of solutions of elliptic equations arising from a gravitational \(O(3)\) gauge field model ⋮ Bubbling solutions for the gravitational Maxwell gauged \(O(3)\) model in \(\mathbb{R}^2\) ⋮ Classification of non-topological solutions of an elliptic equation arising from self-dual gauged sigma model ⋮ On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory ⋮ Qualitative properties of solutions to semilinear elliptic equations from the gravitational Maxwell gauged \(O(3)\) sigma model

Cites Work

• Unnamed Item
• On the conformal Gaussian curvature equation in \(\mathbb{R}^2\)
• Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
• Conformal metrics with prescribed curvature on \(S^ n\)
• Prescribing zeros and poles on a compact Riemann surface for a gravitationally coupled Abelian gauge field theory
• Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation
• The spectrum of Bogomol'nyi solitons in gauged linear sigma models
• Conformal Metrics with Prescribed Gaussian Curvature on S 2
• Coexistence of Vortices and Antivortices in an Abelian Gauge Theory

This page was built for publication: Evaluating solutions on an elliptic problem in a gravitational gauge field theory