21 citations · 26 across the 7 of their papers we have counts for
14 papers · 1 filter
On the monotonicity property of the generalized eigenvalue for weakly-coupled cooperative elliptic systems
Ari Arapostathis, Anup Biswas, Somnath Pradhan
We consider general linear non-degenerate weakly-coupled cooperative elliptic systems and study certain monotonicity properties of the generalized principal eigenvalue in $\mathbb{…
A Strong Maximum Principle and a Compact Support Principle for infinity Laplacian
Anup Biswas
In this article we find necessary and sufficient conditions for the strong maximum principle and compact support principle for non-negative solutions to the quasilinear elliptic in…
A study of nonlocal spatially heterogeneous logistic equation with harvesting
Anup Biswas, Mitesh Modasiya
We study a class of nonlocal reaction-diffusion equations with a harvesting term where the nonlocal operator is given by a Bernstein function of the Laplacian. In particular, it in…
Regularity results of nonlinear perturbed stable-like operators
Anup Biswas, Mitesh Modasiya
We consider a class of fully nonlinear integro-differential operators where the nonlocal integral has two components: the non-degenerate one corresponds to the -stable operator…
Generalized principal eigenvalues of convex nonlinear elliptic operators in
Anup Biswas, Prasun Roychowdhury
We study the generalized eigenvalue problem in for a general convex nonlinear elliptic operator which is locally elliptic and positively -homogeneous. Generalizin…
Integral representation using Green function for fractional Hardy equation
Mousomi Bhakta, Anup Biswas, Debdip Ganguly +1
Our main aim is to study Green function for the fractional Hardy operator in , where and is the best constant in…