3 papers
math.FA2016
Multiplication operators on Orlicz and weighted Orlicz spaces
Ratan Kumar Giri, Shesadev Pradhan
Let be a -finite complete measure space, be a measurable transformation and be an Orlicz function. In this article, first a necessary and suffici…
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 -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)\,,\…