2 papers
math.AP2019
Existence and multiplicity of solutions to a nonlocal elliptic PDE with variable exponent in a Nehari manifold using the Banach fixed point theorem
Amita Soni, D. Choudhuri
In this paper we study the existence and multiplicity of two distinct nontrivial weak solutions of the following equation in Nehari manifold. We have also proved that these solutio…
math.AP2017
Problem involving nonlocal operator
Ratan Kr. Giri, D. Choudhuri, Amita Soni
The aim of this paper is to deal with the elliptic pdes involving a nonlinear integrodifferential operator, which are possibly degenerate and covers the case of fractional -Lapl…