Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Singular solutions of some elliptic equations involving mixed absorption-reaction

Abstract : We study properties of nonnegative functions satisfying (E) −∆u + u p − M |∇u| q = 0 is a domain of R N when p > 1, M > 0 and 1 < q < p. We concentrate our analysis on the solutions of (E) with an isolated singularity, or in an exterior domain, or in the whole space. The existence of such solutions and their behaviours depend strongly on the values of the exponents p and q and in particular according to the sign of q − 2p p+1 , and when q = 2p p+1 , also on the value of the parameter M which becomes a key element. The description of the different behaviours is made possible by a sharp analysis of the radial solutions of (E).
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03305263
Contributor : Laurent Veron <>
Submitted on : Friday, August 27, 2021 - 3:40:10 PM
Last modification on : Tuesday, August 31, 2021 - 3:17:41 AM

Identifiers

  • HAL Id : hal-03305263, version 2

Collections

Citation

Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Véron. Singular solutions of some elliptic equations involving mixed absorption-reaction. 2021. ⟨hal-03305263v2⟩

Share

Metrics

Record views

24

Files downloads

13