7 papers
Geometric properties of some generalized Mathieu power series inside the unit disk
Stefan Gerhold, Zivorad Tomovski, Deepak Bansal +1
We consider two parametric families of special functions: One is defined by a power series generalizing the classical Mathieu series, and the other one is a generalized Mathieu typ…
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…
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…
Three nontrivial solutions of a nonlocal problem involving critical exponent
Amita Soni, D. Choudhuri
In this paper we will prove the existence of three nontrivial weak solutions of the following problem involving a nonlinear integro-differential operator and a term with critical e…
Existence of solution of the -Laplacian problem involving critical exponent and Radon measure
Amita Soni, D. Choudhuri
In this paper we are proving the existence of a nontrivial solution of the - Laplacian equation with Dirichlet boundary condition. We will use the variational method and co…
Existence of multiple solutions to an elliptic problem with measure data
Amita Soni, D. Choudhuri
In this paper we prove the existence of multiple nontrivial solutions of the following equation. \begin{align*} \begin{split} -Δ_{p}u & = λ|u|^{q-2}u+f(x,u)+μ\,\,\mbox{in}\,\,Ω, u…