Exploració per tema "mean field equation"
Ara es mostren els items 1-1 de 1
-
A mean field equation on a torus: one-dimensional symmetry of solutions
(2003)
Article
Accés obertWe study the equation $$-\Delta u=\lambda\left(\frac{e^u}{\int_\oep e^u}- \frac{1}{|\oep|}\right)\quad \text{in }\oep$$ for $u\in E$, where $E = \{ u \in H^1(\oep): u \hbox{ is doubly periodic}, \int_{\oep} u = 0 \}$ and ...