Boundedness of solutions of an equation with weight

HAL (Le Centre pour la Communication Scientifique Directe) 2026 Preprint

Authors: Samy Skander Bahoura
Cited by: 0

Abstract

We consider a variational problem with regular Hölder-log weight and boundary singularity and Dirichlet condition. We give blow-up analysis for sequences of solutions of an equation with exponential nonlinearity. Also we derive a compactness criterion for this problem under some condition.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Nonlinear Differential Equations Analysis Advanced Mathematical Modeling in Engineering

Publication details

Journal / source
HAL (Le Centre pour la Communication Scientifique Directe)
Publication date
5 January 2026
Language
EN
Document type
Preprint