The Henon problem with large exponent in the disc

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Amadori, Anna Lisa¹  Gladiali, Francesca² 

[1] Univ Napoli Parthenope, Dipartimento Sci Applicate, Ctr Direz Napoli, Isola C4, I-80143 Naples, Italy

[2] Univ Sassari, Dipartimento Chim & Farm, Via Piandanna 4, I-07100 Sassari, Italy

关键词: Nodal solutions;    Concentration phenomena;    Morse index;    Least energy radial and non-radial solutions;   

DOI  :  10.1016/j.jde.2019.11.017

来源: Elsevier

【 摘 要 】

In this paper we consider the Henon problem in the unit disc with Dirichlet boundary conditions. We study the asymptotic profile of least energy and nodal least energy radial solutions and then deduce the exact computation of their Morse index for large values of the exponent p. As a consequence of this computation a multiplicity result for positive and nodal solutions is obtained. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free