D. Choudhuri

activity

20162024

most citedMultiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity

45 citations · 173 across the 35 of their papers we have counts for

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math.AP2016

Existence and Concentration Solutions for a class of elliptic PDEs involving $p$ -biharmonic Operator

Ratan Kr Giri, Debajyoti Choudhuri, Shesadev Pradhan

In this paper, we propose an existence result pertaining to a nontrivial solution to the problem \begin{align*} \Bigg\{\begin{split} & Δ^2_p u -Δ_p u + λV(x)|u|^{p-2}u = f(x,u)\,,\…

math.AP2016

A study of second order semilinear elliptic PDE involving measures

Ratan Kr Giri, Debajyoti Choudhuri

The objective of this article is to study the boundary value problem for the general semilinear elliptic equation of second order involving $L^{1}$ functions or Radon measures with f…

math.AP2016★ 2 cited

A problem involving the $p$ -Laplacian operator

Ratan K. Giri, D. Choudhuri

Using a variational technique we guarantee the existence of a solution to the \emph{resonant Lane-Emden} problem $- Δ_{p} u = λ ∣ u ∣^{q - 2} u$ , $u ∣_{\partial Ω} = 0$ if and only if a solution…

Existence and Concentration Solutions for a class of elliptic PDEs involving p-biharmonic Operator

A study of second order semilinear elliptic PDE involving measures

A problem involving the p-Laplacian operator

Existence and Concentration Solutions for a class of elliptic PDEs involving $p$ -biharmonic Operator

A problem involving the $p$ -Laplacian operator