Limit solutions of the Chern-Simons equation

DOI10.1016/j.na.2013.02.004zbMath1282.35395arXiv1209.1556OpenAlexW2018679161MaRDI QIDQ388474

Augusto C. Ponce, Adilson Eduardo Presoto

Publication date: 19 December 2013

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1556

zbMATH Keywords

Radon measureChern--Simons systemElliptic systemExponential nonlinearityScalar Chern--Simons equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for second-order elliptic systems (35J57) PDEs with measure (35R06)

Cites Work

• Continuity and compactness of measures
• Singularities of positive supersolutions in elliptic PDEs
• Semi-linear second-order elliptic equations in \(L^1\)
• Nonlinear problems related to the Thomas-Fermi equation
• On the equation \(-\Delta u + e^{u} - 1 = 0\) with measures as boundary data
• Reduced limits for nonlinear equations with measures
• A system of elliptic equations arising in Chern-Simons field theory
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Semilinear equations with exponential nonlinearity and measure data
• On a semilinear equation in ℝ²involving bounded measures
• The sub-supersolution method for weak solutions
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Nonlinear elliptic equations with measures revisited
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Limit solutions of the Chern-Simons equation