A Study of the Prandtl Batchelor Problem Using Variational Method: A Study of the Prandtl Batchelor Problem Using Variational

In this paper, we investigate the existence of nontrivial weak solutions for the Prandtl–Batchelor type free boundary value elliptic problem driven by a power nonlinearity. The algebraic topology approach will be used to establish the existence of solutions of approximate problem, while variational...

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Bibliographic Details
Published in:Qualitative theory of dynamical systems 2025, Vol.24 (1)
Main Authors: Choudhuri, Debajyoti, Zuo, Jiabin
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Online Access:Get full text
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Summary:In this paper, we investigate the existence of nontrivial weak solutions for the Prandtl–Batchelor type free boundary value elliptic problem driven by a power nonlinearity. The algebraic topology approach will be used to establish the existence of solutions of approximate problem, while variational techniques will be used to determine the existence of major problem solutions. In the process several classical results are improved.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-024-01209-3