| Full text | |
| Author(s): |
Gladiali, Francesca
;
Grossi, Massimo
;
Neves, Sergio L. N.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS; v. 18, n. 5 OCT 2016. |
| Web of Science Citations: | 3 |
| Abstract | |
In this paper, we study the problem [-Delta u - (2 + alpha/2)(2) vertical bar x vertical bar(alpha) f (lambda, u), in B-1, [u > 0, in B-1, (P) [u - 0, on partial derivative B-1, where B-1 is the unit ball of R-2, f is a smooth nonlinearity and alpha, lambda are real numbers with alpha > 0. From a careful study of the linearized operator, we compute the Morse index of some radial solutions to (P). Moreover, using the bifurcation theory, we prove the existence of branches of nonradial solutions for suitable values of the positive parameter lambda. The case f (lambda, u) = lambda e(u) provides more detailed informations. (AU) | |
| FAPESP's process: | 12/10153-6 - Nonlinear Elliptic Equations with Singular Potentials |
| Grantee: | Sérgio Leandro Nascimento Neves |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |