A semilinear elliptic equation with competing powers and a radial potential

Autor(es)

Musso, Monica ^{[1, 2]} ; Pimentel, Juliana ^[3]

Afiliação do(s) autor(es)

^[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon - England

^[2] Univ Catolica Chile, Dept Matemat, Macul 7820436 - Chile

^[3] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-20921058 Santo Andre, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL D ANALYSE MATHEMATIQUE; v. 140, n. 1 MAR 2020.
• Citações Web of Science: 0

Resumo

We verify the existence of radial positive solutions for the semilinear equation where N >= 3, p is close to p{*} colon equals (N+ 2)/(N - 2), and V is a radial smooth potential. If q is super-critical, namely q > p{*}, we prove that this problem has a radial solution behaving like a superposition of bubbles blowing-up at the origin with different rates of concentration, provided V(0) < 0. On the other hand, if N/(N - 2) < q < p{*}, we prove that this problem has a radial solution behaving like a super-position of flat bubbles with different rates of concentration, provided lim(r ->infinity)V(r) < 0. (AU)

• Processo FAPESP: 16/04925-7 - EDPs parabólicas semilineares e atratores ilimitados
• Beneficiário: Juliana Fernandes da Silva Pimentel
• Modalidade de apoio: Auxílio à Pesquisa - Regular