On the critical points of solutions of PDE: The case of concentrating solutions on the sphere

Francesca Gladiali; Francesca Gladiali

doi:10.3934/nhm.2024057

Networks and Heterogeneous Media

2024, Volume 19, Issue 3: 1336-1343. doi: 10.3934/nhm.2024057

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On the critical points of solutions of PDE: The case of concentrating solutions on the sphere

Francesca Gladiali ^,

Dipartimento SCFMN, Università di Sassari, Via Vienna 2, 07100 Sassari, Italy

Received: 23 August 2024 Revised: 25 November 2024 Accepted: 28 November 2024 Published: 04 December 2024
35B09, 35B40, 35Q

In this paper, we are concerned with the number of critical points of solutions of nonlinear elliptic equations in a domain $ D $ of the sphere and their index.
- critical points,
- multipeaks solutions,
- index,
- manifolds
Citation: Francesca Gladiali. On the critical points of solutions of PDE: The case of concentrating solutions on the sphere[J]. Networks and Heterogeneous Media, 2024, 19(3): 1336-1343. doi: 10.3934/nhm.2024057

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Abstract

In this paper, we are concerned with the number of critical points of solutions of nonlinear elliptic equations in a domain $ D $ of the sphere and their index.

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