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Results tagged with ap.analysis-of-pdes
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user 108518
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
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Uniqueness of positive solutions to the n-vortex type equation
The $n$-vortex equation, in the context of optical vortex solitons, is of the form
\begin{equation}
-(ru_{r})_r+\dfrac{n^2}{r}u+\beta ru= f(u^2)ru,\quad r\in (0,\infty),\\
u(0)=0=u(\infty),
\end{equa …
