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Sur les solutions radiales de l’équation $$\Delta u+(1/2)x.\nabla u+(1/2)\lambda u+| u| ^{p-1}u=0$$. (On the radial solutions of the equation $$\Delta u+(1/2)x.\nabla u+(1/2)\lambda u+| u| ^{p- 1}u=0)$$. (French) Zbl 0606.35025
A nonexistence theorem is given for radially symmetric solutions which decay rapidly to zero at infinity.

##### MSC:
 35J60 Nonlinear elliptic equations 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35A05 General existence and uniqueness theorems (PDE) (MSC2000)
##### Keywords:
semilinear equation; radial solution; nonexistence; decay