22 citations · 32 across the 10 of their papers we have counts for
18 papers · 1 filter
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…
A singular elliptic problem involving fractional -Laplacian and a discontinuous critical nonlinearity
Kamel Saoudi, Akasmika Panda, Debajyoti Choudhuri
In this article, we prove the existence of solutions to a nonlinear nonlocal elliptic problem with a singualrity and a discontinuous critical nonlinearity which is given as follows…
Algebraic topological techniques for elliptic problems involving fractional Laplacian
A. Panda, D. Choudhuri, A. Bahrouni
We prove the existence of infinitely many solutions to an elliptic problem by borrowing the techniques from algebraic topology. The solution(s) thus obtained will also be proved to…
Elliptic problem driven by different types of nonlinearities
Debajyoti Choudhuri, Dušan D. Repovš
In this paper we establish the existence and multiplicity of nontrivial solutions to the following problem \begin{align*} \begin{split} (-Δ)^{\frac{1}{2}}u+u+(\ln|\cdot|*|u|^2)&=f(…