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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.AP2019
Existence of solution for a system involving fractional Laplacians and a Radon measure
Amita Soni, D. Choudhuri
An existence of a nontrivial solution in some `weaker' sense of the following system of equations \begin{align*} (-Δ)^{s}u+l(x)ϕu+w(x)|u|^{k-1}u&=μ~\text{in}~Ω\nonumber\\ (-Δ)^{s}ϕ…