An existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities

Kanishka Perera

DOI: http://dx.doi.org/10.12775/TMNA.2002.029

Abstract


We establish an existence result for a class of quasilinear
elliptic boundary value problems with jumping nonlinearities
using variational arguments. First we calculate certain homotopy
groups of sublevel sets of the asymptotic part of the variational
functional. Then we use these groups to show that the full
functional admits a linking geometry and hence a min-max critical
point.

Keywords


quasilinear elliptic boundary value problems; jumping nonlinearities; Fucik spectrum; critical point theory on $C^1$-Finsler manifolds; homotopy theory; linking; min-max principle

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism