Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 458
Existence results for renormalized solutions to non-coercive nonlinear elliptic equations involving a hardy potential and with l1 -data
Fessel Achhoud, Abdelkader Bouajaja, Hichame Redwane
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2381
April 15, 2381

Abstract: There are many reasons, coming particularly from physics, about the importance of studying partial differential equations associated to the Hardy-Leray potential. From a purely point of view, we must say that the potential given by the reciprocal of the square function is a perfect laboratory to study border line properties or critical behavior in many situations, like the existence of solutions to nonlinear partial differential equations, certain eigenvalue problems, instantaneous and complete blow up and many others. Here we prove the existence of a renormalized solution for a class of ...