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.;
2021-01-01
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:
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