THE SELF-DUAL CHERN–SIMONS HIGGS EQUATION ON A COMPACT RIEMANN SURFACE WITH BOUNDARY
2010 ◽
Vol 21
(01)
◽
pp. 67-76
◽
Keyword(s):
The Self
◽
We study the self-dual Chern–Simons Higgs equation on a compact Riemann surface with Neumann boundary condition. We show that the Chern–Simons Higgs equation with parameter λ > 0 has at least two solutions [Formula: see text] for λ sufficiently large, such that [Formula: see text] almost everywhere as λ → + ∞, and that [Formula: see text] almost everywhere as λ → ∞, where u0 is a (negative) Green function on M.
2011 ◽
Vol 28
(1)
◽
pp. 145-170
Keyword(s):
Layered stable equilibria of a reaction–diffusion equation with nonlinear Neumann boundary condition
2008 ◽
Vol 347
(1)
◽
pp. 123-135
◽
2008 ◽
Vol 48
(11)
◽
pp. 2077-2080
◽
2012 ◽
Vol 29
(3)
◽
pp. 778-798
◽