Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms
Résumé
We study global properties of positive radial solutions of −∆u = up +M |∇u|p+1 in RN where
p > 1 and M is a real number. We prove the existence or the non-existence of ground states and of solutions with singularity at 0 according to the values of M and p.
o x y (A) x t < 0 y t < 0 (B) x t > 0 y t < 0 (C) x t > 0 y t > 0 (D) x t < 0 y t > 0 L C P M
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