R. K. Giri

activity

20162026

most citedInfinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity

7 citations · 9 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.FA2016

On the properties of Ascent and Descent of Composition operator on Orlicz spaces

Ratan Kr. Giri, Shesadev Pradhan

Here, the composition operators on Orlicz spaces with finite ascent and descent as well as infinite ascent and descent are characterized.

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…

On the properties of Ascent and Descent of Composition operator on Orlicz spaces

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