Electronic Journal of Differential Equations,
Conference 09 (2002), pp. 117-126.

Title: Existence of stable periodic solutions for quasilinear
  parabolic problems in the presence of well-ordered
  lower and upper-solutions.

Authors: Abderrahmane El Hachimi (Faculte des Sciences El Jadida, Maroc)
  Abdelilah Lamrani Alaoui (Faculte des Sciences El Jadida, Maroc)
 
Abstract: 
  We present existence and stability results for periodic solutions of
  quasilinear parabolic equation related to Leray-Lions's type
  operators. To prove existence and localization, we use the
  penalty method; while for stability we use an approximation scheme.


Published December 28, 2002.
Math Subject Classifications: 35K55, 35B20, 35B40.
Key Words: Leray-lions operator; penalization; lower and upper-solutions;
  monotone process; periodic solutions; stabilization.