Advances in Differential Equations

On the superlinear Lazer-McKenna conjecture: the non-homogeneous case

E. N. Dancer and Sanjiban Santra

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We prove the Lazer-McKenna conjecture for the superlinear elliptic problem of the Ambrosetti-Prodi type with a non-homogeneous non-linearity by constructing solutions with sharp peaks. We also compute the critical groups provided the critical points are isolated.

Article information

Adv. Differential Equations, Volume 12, Number 9 (2007), 961-993.

First available in Project Euclid: 18 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J60: Nonlinear elliptic equations
Secondary: 35B25: Singular perturbations 35J35: Variational methods for higher-order elliptic equations 35P30: Nonlinear eigenvalue problems, nonlinear spectral theory 47J10: Nonlinear spectral theory, nonlinear eigenvalue problems [See also 49R05] 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.) 58E07: Abstract bifurcation theory


Dancer, E. N.; Santra, Sanjiban. On the superlinear Lazer-McKenna conjecture: the non-homogeneous case. Adv. Differential Equations 12 (2007), no. 9, 961--993.

Export citation