Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms

Abstract : 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.
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Contributor : Laurent Veron <>
Submitted on : Tuesday, August 20, 2019 - 4:13:07 PM
Last modification on : Wednesday, August 21, 2019 - 1:22:40 AM

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  • HAL Id : hal-01959585, version 2
  • ARXIV : 1812.08418

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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, American Institute of Mathematical Sciences, In press. ⟨hal-01959585v2⟩

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