Three Weak Solutions to a degenerate quasilinear elliptic system

Authors

  • 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.

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Published

2019-05-24

Issue

Vol. 74 No. 1 (2019)

Section

Articoli

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