45 citations · 173 across the 35 of their papers we have counts for
4 papers · 2 filters
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…
On semilinear equations with free boundary conditions on stratified Lie groups
Debajyoti Choudhuri, Dušan D. Repovš
In this paper we establish existence of a solution to a semilinear equation with free boundary conditions on stratified Lie groups. In the process, a monotonicity condition is prov…
A quick sneak-peek at the -fractional Laplacian operator
Debajyoti Choudhuri
The short note here is to give a few heuristic arguments on the weird looking fractional Laplacian operator. This is certainly going to expand the vision of a reader who is looking…
On critical variable-order Kirchhoff type problems with variable singular exponent
Jiabin Zuo, Debajyoti Choudhuri, Dušan D. Repovš
We establish a continuous embedding , where the variable exponent can be close to the critical exponent $2_{s}^*(x)=\frac{2…