TY - ELEC
AU - Weiwei Ao
PY - 2019
TI - On the bubbling solutions of the Maxwell-Chern-Simons model on flat torus.
LA - eng
M3 - Moving Image
AB - We consider the periodic solutions of a nonlinear elliptic system derived from the Maxwell-Chern-Simons model on a flat torus $\Omega$:
$$\left\{\begin{array}{l}
\Delta u=\mu(\lambda e^u-N)+4\pi\sum_{i=1}^n m_{i}\delta_{p_i},\\
\Delta N=\mu (\mu+\lambda e^u)N-\lambda \mu(\lambda+\mu)e^u
\end{array}
\right. \mbox{ in }\Omega,
$$
where $\lambda, \mu>0$ are positive parameters. We obtain a Brezis-Merle type classification result for this system when $\lambda, \mu \to \infty$ and $\lambda<<\mu$. We also construct blow up solutions to this system. This is a joint work with Youngae Lee and Kwon Ohsang.
N2 - We consider the periodic solutions of a nonlinear elliptic system derived from the Maxwell-Chern-Simons model on a flat torus $\Omega$:
$$\left\{\begin{array}{l}
\Delta u=\mu(\lambda e^u-N)+4\pi\sum_{i=1}^n m_{i}\delta_{p_i},\\
\Delta N=\mu (\mu+\lambda e^u)N-\lambda \mu(\lambda+\mu)e^u
\end{array}
\right. \mbox{ in }\Omega,
$$
where $\lambda, \mu>0$ are positive parameters. We obtain a Brezis-Merle type classification result for this system when $\lambda, \mu \to \infty$ and $\lambda<<\mu$. We also construct blow up solutions to this system. This is a joint work with Youngae Lee and Kwon Ohsang.
UR - https://open.library.ubc.ca/collections/48630/items/1.0384909
ER - End of Reference