45 citations · 173 across the 35 of their papers we have counts for
4 papers · 1 filter
Existence and Concentration Solutions for a class of elliptic PDEs involving -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)\,,\…
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 functions or Radon measures with f…
A problem involving the -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 , if and only if a solution…
Composition operators on Orlicz-Sobolev spaces
Ratan Kumar Giri, Debajyoti Choudhuri
The kernel of composition operator on Orlicz-Sobolev space is obtained. Using the kernel, a necessary and a sufficient condition for injectivity of composition operator …