Limit solutions of the Chern–Simons equation
(2013) Nonlinear Analysis: Theory, Methods & Applications — Vol. 84, p. 91-102 (2013)
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- Abstract
- 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.
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Ponce, A., & Presoto, A. E. (2013). Limit solutions of the Chern–Simons equation. Nonlinear Analysis: Theory, Methods & Applications, 84, 91-102. https://doi.org/10.1016/j.na.2013.02.004 (Original work published 2013)