5 papers · 1 filter
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…
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…
Existence of at least solutions to a fractional -Kirchhoff problem involving singularity and critical exponent
Sekhar Ghosh, Debajyoti Choudhuri, Alessio Fiscella
We study the existence of nonnegative solutions to the following nonlocal elliptic problem involving singularity \begin{align} \mathfrak{M}\left(\int_{Q}\frac{|u(x)-u(y)|^p}{|x-y|^…
A multiphase eigenvalue problem on a stratified Lie group
Debajyoti Choudhuri, Leandro S. Tavares, Dušan D. Repovš
We consider a multiphase spectral problem on a stratified Lie group. We prove the existence of an eigenfunction of -eigenvalue problem on a bounded domain. Furthermore, we a…
Analysis of solution to an elliptic free boundary value problem equipped with a `bad' data
Debajyoti Choudhuri, Shengda Zeng
We will study a free boundary value problem driven by a source term which is quite {\it irregular}. In the process, we will establish a monotonicity result, and regularity of the s…