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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series A Année : 2020

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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Dates et versions

hal-01959585 , version 1 (18-12-2018)
hal-01959585 , version 2 (20-08-2019)

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Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Veron. Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms. Discrete and Continuous Dynamical Systems - Series A, In press, 40 (2), pp.933-982. ⟨hal-01959585v2⟩
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