Boundary Value Problem for $r^2 {d^2 f/dr^2} + f = f^3$ (I): Existence and Uniqueness

Details Boundary Value Problem for $r^2 {d^2 f/dr^2} + f = f^3$ (I): Existence and Uniqueness Boundary Value Problem for $r^2 {d^2 f/dr^2} + f = f^3$ (I): Existence and Uniqueness

1999-03-11

arxiv.org/abs/math-ph/9903022v1

Physics

Mathematical Physics

12 pages

Scientific paper

In this paper we study the equation $r^2 {d^2 f/dr^2} + f = f^3$ with the boundary conditions $f(1)=0$, $f(\infty)=1$ and $f(r) > 0$ for $1

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