Nonnegative solutions for indefinite Caffarelli–Kohn–Nirenberg-type problems with subcritical or critical growth

Abstract Using variational methods we prove the existence of nonnegative solutions for the following class of quasilinear problems given by: − div ( | x | − ϒ p | ∇ u | p − 2 ∇ u ) + | x | − b p ∗ | u | p − 2 u = λ | x | − b p ∗ a ( x ) g ( u ) + γ | x | − b p ∗ | u | p ∗ − 2 u in R N , for the subc...

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Bibliographic Details
Main Authors: Sami Baraket, Anis Ben Ghorbal, Giovany M. Figueiredo
Format: Article
Language:English
Published: SpringerOpen 2024-11-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-024-01969-6