Existence of positive solutions for a class of singular elliptic problems with convection term and critical exponential growth

Abstract This paper uses the Galerkin method to investigate the existence of positive solution to a class of singular elliptic problems given by { − Δ u = λ 0 u β 0 + Λ 0 | ∇ u | γ 0 + f 0 ( u ) | x | α 0 + h 0 ( x ) , u > 0 in Ω , u = 0 on ∂ Ω , $$\begin{aligned} \textstyle\begin{cases} -\Delta...

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Bibliographic Details

Published in:	Boundary Value Problems
Main Authors:	Sami Baraket, Anis Ben Ghorbal, Giovany M. Figueiredo
Format:	Article
Language:	English
Published:	SpringerOpen 2024-07-01
Subjects:	Galerkin method Exponential growth Trudinger-Moser inequality Hardy-Sobolev inequality
Online Access:	https://doi.org/10.1186/s13661-024-01897-5