21 citations · 26 across the 7 of their papers we have counts for
4 papers · 2 filters
Liouville type results for systems of equations involving fractional Laplacian in exterior domains
Anup Biswas
In this article we present a simple and unified probabilistic approach to prove nonexistence of positive super-solutions for systems of equations involving potential terms and the…
Existence and non-existence results for a class of semilinear nonlocal operators with exterior condition
Anup Biswas
We consider a class of semilinear nonlocal problems with vanishing exterior condition and establish a Ambrosetti-Prodi type phenomenon when the nonlinear term satisfies certain con…
Principal eigenvalues of a class of nonlinear integro-differential operators
Anup Biswas
We consider a class of nonlinear integro-differential operators and prove existence of two principal (half) eigenvalues in bounded smooth domains with exterior Dirichlet condition.…
Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators
Anup Biswas, József Lőrinczi
We establish Ambrosetti--Prodi type results for viscosity and classical solutions of nonlinear Dirichlet problems for the fractional Laplace and comparable operators. In the choice…