Existence of a W 1,1 0 -solution for a semilinear Dirichlet problem with very singular convection term

In this paper we prove the existence in W1(not in BV ) of a solution (in a very weak sense) for the boundary value problems.

Bibliographic Details
Main Author: Lucio Boccardo
Format: Article
Language:English
Published: Sapienza Università Editrice 2021-03-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2021(3-4)/215-226.pdf