Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2016-10-05
Two Non-Zero Solutions for Elliptic Dirichlet ProblemsGabriele Bonanno and Giuseppina D'Aguì (1) Università di Messina, Italy
(2) Università di Messina, Italy
The aim of this note is to point out a two non-zero critical points theorem for differentiable functionals and, as an application, to obtain existence results of two positive solutions for elliptic Dirichlet problems by requiring, in particular, a suitable condition on the nonlinearity which is more general than the sublinearity at zero.
Keywords: Variational methods, multiple critical points, elliptic nonlinear equations, boundary value problems
Bonanno Gabriele, D'Aguì Giuseppina: Two Non-Zero Solutions for Elliptic Dirichlet Problems. Z. Anal. Anwend. 35 (2016), 449-464. doi: 10.4171/ZAA/1573