We compute critical groups of variational functionals arising from quasilinear elliptic boundary value problems with jumping nonlinearities, when the asymptotic limits of the equation lie in various regions of the plane that are separated by certain curves of the Fucik spectrum. As an application some existence and multiplicity results are established via Morse theoretic and perturbation arguments.
arXiv Mathematics e-prints
- Pub Date:
- November 2000
- Mathematics - Analysis of PDEs;
- 35J65 (Primary) 35P30;
- 58E05 (Secondary)
- To be published in J. Math. Anal. Appl., 17 pages, see http://winnie.fit.edu/~kperera/ for related papers