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

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.

Keywords

• Leray-lions operator
• penalization
• lower and upper-solutions
• monotone process
• periodic solutions
• stabilization.