In this paper we consider nodal radial solutions of the problem -?u = |u|2*-2u + ?u in B, u =0 on B where 2*= 2N N-2 with 3 N 6 and B is the unit ball of IRN. We compute the asymptotics of the solution u as well as u8, its first zero and other relevant quantities as ? goes to a critical value .?. Also the sign of ? - .? is established in all cases. This completes an analogous analysis for N 7 given in [12].

A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions

Amadori A. L.;
2021

Abstract

In this paper we consider nodal radial solutions of the problem -?u = |u|2*-2u + ?u in B, u =0 on B where 2*= 2N N-2 with 3 N 6 and B is the unit ball of IRN. We compute the asymptotics of the solution u as well as u8, its first zero and other relevant quantities as ? goes to a critical value .?. Also the sign of ? - .? is established in all cases. This completes an analogous analysis for N 7 given in [12].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11367/100663
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact