45 citations · 173 across the 35 of their papers we have counts for
39 papers
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…
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…
An elliptic problem of the Prandtl-Batchelor type with a singularity
Debajyoti Choudhuri, Dušan D. Repovš
We establish the existence of at least two solutions of the {\it Prandtl-Batchelor} like elliptic problem driven by a power nonlinearity and a singular term. The associated energy…
On elliptic problems with Choquard term and singular nonlinearity
Debajyoti Choudhuri, Dušan D. Repovš, Kamel Saoudi
Using variational methods, we establish the existence of infinitely many solutions to an elliptic problem driven by a Choquard term and a singular nonlinearity. We further show tha…
Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents
Jiabin Zuo, Debajyoti Choudhuri, Dušan D. Repovš
We prove the existence of solutions for the following critical Choquard type problem with a variable-order fractional Laplacian and a variable singular exponent \begin{align*} \beg…