A. Ardra

activity

20222026

collaborators

3 papers

math.AP2026

On the first eigenvalue of a nonlinear Schrödinger type equation

Ardra A

We consider an eigenvalue problem for the generalized nonlinear Schrödinger type operator with the Robin boundary condition as given below. \begin{equation*} \label{ab-Robin p-Lapl…

math.AP2025

Weighted Sobolev inequalities and superlinear elliptic problems on exterior domains

Ardra A, Ameerraja Ansari, Anumol Joseph +1

Let $B_{1}^{c} = {x \in R^{N} : ∣ x ∣ > 1}, N \geq 2$ , and $D_{0}^{1, N} (B_{1}^{c})$ , be the Beppo-Levi space. We prove that $D_{0}^{1, N} (B_{1}^{c})$ is compactly embedded…

math.AP2022

On a shape derivative formula for the Robin $p$ -Laplace eigenvalue

Ardra A, Mohan Mallick, Sarath Sasi

We obtain shape derivative formulae for the first eigenvalue of the Robin $p$ -Laplace operator. This result is used to study the variation of the first eigenvalue with respect to p…

On the first eigenvalue of a nonlinear Schrödinger type equation

Weighted Sobolev inequalities and superlinear elliptic problems on exterior domains

On a shape derivative formula for the Robin p-Laplace eigenvalue

On a shape derivative formula for the Robin $p$ -Laplace eigenvalue