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dg-ga1997
Existence results for mean field equations
W. Ding, J. Jost, J. Li +1
Let be an annulus. We prove that the mean field equation $-Δψ=\frac{e\sp{-βψ}}{\int\sbΩe\sp{-βψ}} $ admits a solution with zero boundary for . This is a superc…
dg-ga1997
An analysis of the two-vortex case in the Chern-Simons Higgs model
W. Ding, J. Jost, J. Li +1
Extending work of Caffarelli-Yang and Tarantello, we present a variational existence proof for two-vortex solutions of the periodic Chern-Simons Higgs model and analyze the asympto…
dg-ga1997
The differential equation on a compact Riemann surface
W. Ding, J. Jost, J. Li +1
Let be a compact Riemann surface, a positive smooth function on . In this paper, we consider the functional $$J(u)={1/2}\int \sb{M}|\bigtriangledown u|\sp 2 + 8π\int\…