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Limit solutions of the Chern–Simons equation

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Ponce, Augusto [UCL] Presoto, Adilson E.

We investigate the scalar Chern–Simons equation in cases where there is no solution for a given nonnegative finite measure datum. Approximating the datum by a sequence of nonnegative integrable functions or finite measures for which this equation has a solution, we show that the sequence of solutions of the Dirichlet problem converges to the solution with largest possible datum. The counterpart for the Chern-Simons system behaves differently and the conclusion depends on how much the measures charge singletons.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2013
Language Anglais
Journal information "Nonlinear Analysis: Theory, Methods & Applications" - Vol. 84, p. 91-102 (2013)
Peer reviewed yes
issn 0362-546X
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords Elliptic system ; Exponential nonlinearity ; Scalar Chern–Simons equation ; Chern–Simons system
Links
Bibliographic reference Ponce, Augusto ; Presoto, Adilson E.. Limit solutions of the Chern–Simons equation. In: Nonlinear Analysis: Theory, Methods & Applications, Vol. 84, p. 91-102 (2013)
Permanent URL http://hdl.handle.net/2078.1/130265