Open AccessUnilateral Problem for a Viscoelastic Beam Equation Type p-Laplacian with Strong Damping and Logarithmic Source
Author(s) -
Ducival Carvalho Pereira,
G. M. de Araújo,
Carlos A. Raposo
Publication year - 2022
Publication title -
european journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2733-3957
DOI - 10.28924/ada/ma.2.5
Subject(s) - uniqueness , viscoelasticity , logarithm , mathematical analysis , mathematics , type (biology) , laplace operator , stability (learning theory) , galerkin method , beam (structure) , physics , optics , finite element method , computer science , thermodynamics , ecology , machine learning , biology
In this manuscript, we investigate the unilateral problem for a viscoelastic beam equation of p-Laplacian type. The competition of the strong damping versus the logarithmic source term is considered. We use the potential well theory. Taking into account the initial data is in the stability set created by the Nehari surface, we prove the existence and uniqueness of global solutions by using the penalization method and Faedo-Galerkin’s approximation.