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math.AP2018
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…
math.AP2018
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…
math.AP2018
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…