Sarath Sasi

activity

20152024

collaborators

4 papers

math.AP2024

Optimal harvesting for a logistic model with grazing

Mohan Mallick, Ardra A, Sarath Sasi

We consider semi-linear elliptic equations of the following form: \begin{equation*} \left\{ \begin{aligned} -Δu &= λ[u-\dfrac{u^2}{K}-c \dfrac{u^2}{1+u^2}-h(x) u]=:λf_h(u), \quad &…

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…

math.AP2016

On the strict monotonicity of the first eigenvalue of the $p$ -Laplacian on annuli

T. V. Anoop, Vladimir Bobkov, Sarath Sasi

Let $B_{1}$ be a ball in $R^{N}$ centred at the origin and $B_{0}$ be a smaller ball compactly contained in $B_{1}$ . For $p \in (1, \infty)$ , using the shape derivative method, we s…

math.AP2015

On the structure of the second eigenfunctions of the p-Laplacian on a ball

T. V. Anoop, P. Drabek, Sarath Sasi

In this paper, we prove that the second eigenfunctions of the $p$ -Laplacian, $p > 1$ , are not radial on the unit ball in $R^{N},$ for any $N \geq 2.$ Our proof relies on the var…

Optimal harvesting for a logistic model with grazing

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

On the strict monotonicity of the first eigenvalue of the p-Laplacian on annuli

On the structure of the second eigenfunctions of the p-Laplacian on a ball

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

On the strict monotonicity of the first eigenvalue of the $p$ -Laplacian on annuli