45 citations · 173 across the 35 of their papers we have counts for
4 papers · 2 filters
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…
Least energy sign-changing solution of fractional -Laplacian problems involving singularities
Sekhar Ghosh, Kamel Saoudi, Mouna Kratou +1
In this paper we study the existence of a least energy sign-changing solution to a nonlocal elliptic PDE involving singularity by using the Nehari manifold method, the constraint v…
Existence results of two mixed boundary value elliptic PDEs in
Akasmika Panda, Debajyoti Choudhuri
We study the existence of a solution to the mixed boundary value problem for Helmholtz and Poisson type equations in a bounded Lipschitz domain and in $\math…
A study and an application of the concentration compactness type principle
Akasmika Panda, Debajyoti Choudhuri
In this article we develop a concentration compactness type principle in a variable exponent setup. As an application of this principle we discuss a problem involving fractional `{…