Suppose p>k, Dose the global solution of the following ODE exsit? ${n-1 \choose k-1} u''(r)(\frac{u'(r)}{r})^{k-1}+{{n-1} \choose k }(\frac{u'(r)}{r})^{k}=(u(r))^p$,r>0,
u(0) = a > 0,
$u\in C^2(0,\infty) \cap C[0,\infty).$
thanks~
|
3 | added 4 characters in body | ||
|
|
||||
|
|
2 | deleted 30 characters in body; edited title; added 8 characters in body | ||
the Radial solution of k-hessian equation on $R^{n} \backslash {0}$\{0\}$Suppose p>k, Dose the global solution of the following ODE exsit? ${n-1} {n-1 \choose {k-1} u''(r)\left(\frac{u'(r)}{r}\right)^{k-1}+{n-1k-1} u''(r)(\frac{u'(r)}{r})^{k-1}+{{n-1} \choose k \left(\frac{u'(r)}{r}\right)^{k}=(u(r))^p$,r>0 }(\frac{u'(r)}{r})^{k}=(u(r))^p$,r>0, u(0) = a > 0, $u\in C^2(0,\infty) \cap C[0,\infty)$C[0,\infty).$ thanks~ |
||||
|
|
1 |
|
||
the Radial solution of k-hessian equation on $R^{n} \backslash {0}$Suppose p>k, Dose the global solution of the following ODE exsit? ${n-1} \choose {k-1} u''(r)\left(\frac{u'(r)}{r}\right)^{k-1}+{n-1} \choose k \left(\frac{u'(r)}{r}\right)^{k}=(u(r))^p$,r>0 u(0) = a > 0 $u\in C^2(0,\infty) \cap C[0,\infty)$ thanks~
|
||||
