RADIAL SOLUTIONS WITH PRESCRIBED NUMBER OF NODES TO AN ASYMPTOTICALLY LINEAR ELLIPTIC PROBLEM: A PARABOLIC FLOW APPROACH

Autor(es)

Ishiwata, Michinori ; Li, Haoyu

• Tipo de documento: Artigo Científico
• Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 44, n. 6, p. 18-pg., 2024-01-24.

Resumo

Based on a parabolic flow, we study the existence of radial solutions with a prescribed number of nodes to an asymptotically linear elliptic problem. Moreover, for the problem defined on the unit ball, we establish a nonexistence result concerning the solutions with more than the prescribed number of nodes, see Assertion (2) of Theorem 1.3. This is a significant difference from the problem defined on the whole space since the latter admits solution with an arbitrarily large number of nodes. This is proved in Theorem 1.1. (AU)

• Processo FAPESP: 22/15812-0 - Uma proposta sobre o metodo variacional para um sistema eliptico.
• Beneficiário: Haoyu Li
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado