Artículos de revistas
Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane
Fecha
2016-10-01Registro en:
Communications in Contemporary Mathematics, v. 18, n. 5, 2016.
0219-1997
10.1142/S021919971550087X
2-s2.0-84949491888
Autor
Università di Sassari
Università di Roma la Sapienza
Universidade Estadual Paulista (Unesp)
Institución
Resumen
In this paper, we study the problem {equation presented} where B1 is the unit ball of R2, f is a smooth nonlinearity and α, λ are real numbers with α > 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 λ. The case f(λ,u) = λeu provides more detailed informations.