4 papers
Large Solutions for Fractional Laplacian on Infinite Cylindrical Domains
Indranil Chowdhury, N N Dattatreya
We investigate large solutions of linear and semi-linear equations involving the fractional Laplacian on domains that are becoming unbounded in some, but not all, directions. Solut…
Boundary Blowup Solutions for the Finsler p-Laplacian: Wellposedness and Asymptotic Behaviour
N N Dattatreya
We study the existence of large or boundary blow-up solutions to semilinear equations involving the Finsler p-Laplacian on bounded domains with sufficiently smooth boundaries. We e…
Asymptotics of Large Solutions of p-Laplace Equations on Cylinders Becoming Unbounded
N. N. Dattatreya
In this article, we study the asymptotic behavior of large solutions for a quasi-linear equation involving the p-Laplacian, defined on a sequence of finite cylindrical domains conv…
Boundary Blow-up Solutions of Second Order Quasilinear Equation on Infinite Cylinders
Indranil Chowdhury, N. N. Dattatreya
This article studies large solutions, for a class of quasi-linear equations involving p-Laplacian on the infinite cylindrical domains. We study the wellposedness of weak large solu…