An elliptic problem of the Prandtl–Batchelor type with a singularity

Abstract We establish the existence of at least two solutions of the Prandtl–Batchelor like elliptic problem driven by a power nonlinearity and a singular term. The associated energy functional is nondifferentiable, and hence the usual variational techniques do not work. We shall use a novel approac...

Full description

Bibliographic Details
Main Authors: Debajyoti Choudhuri, Dušan D. Repovš
Format: Article
Language:English
Published: SpringerOpen 2023-06-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-023-01747-w