Semilinear equations with absorption nonlinearities and measures as data
Semilinear elliptic equations in dimension 2 with Trudinger-Moser nonlinearities
Elliptic equations and systems with several kinds of interaction with the spectrum
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [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
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | JOURNAL D ANALYSE MATHEMATIQUE; v. 140, n. 1 MAR 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 16/04925-7 - Semilinear parabolic PDEs and unbounded attractors |
| Grantee: | Juliana Fernandes da Silva Pimentel |
| Support Opportunities: | Regular Research Grants |