Three Weak Solutions to a degenerate quasilinear elliptic system

  • Shapour Heidarkhani Razi University, Kermanshah, Iran
  • John R. Graef University of Tennessee at Chattanooga, USA
  • Lingju Kong University of Tennessee at Chattanooga, USA
  • Amjad Salari Kermanshah University of Medical Sciences, Kermanshah, Iran

Abstract

Sufficient conditions are established to guarantee the existence of at least
three weak solutions to a degenerate quasilinear elliptic system
with three parameters and Dirichlet boundary conditions. An application of
the main theorem to a scalar elliptic problem is also presented.
The proofs in the paper mainly make use of a variational argument and
an abstract critical point theorem due to Ricceri.

Published
2019-05-24
Section
Articoli