2 papers
math.AP2024
A study of the Prandtl Batchelor problem using variational method
Debajyoti Choudhuri, Jiabin Zuo
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 alg…
math.AP2024
On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak data
S. Sahu, D. Choudhuri, D. D. Repovš
The article is about an elliptic problem defined on a {\it stratified Lie group}. Both sub- and superlinear cases are considered whose solutions are guaranteed to exist in light of…