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., Gladiali, F., Grossi, M., Pistoia, A., Vaira, G.. - In: NONLINEARITY. - ISSN 0951-7715. - 34:11(2021), pp. 8055-8093. [10.1088/1361-6544/ac2a4e]
A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions
Gladiali F.;
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 | Dimensione | Formato | |
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