On a class of nonlinear elliptic, anisotropic singular perturbations problems

TL;DR

This paper investigates the asymptotic behavior of solutions to a class of nonlinear elliptic anisotropic singular perturbation problems in cylindrical domains, establishing the limit problem and strong convergence results, with applications to integro-differential equations.

Contribution

It introduces a new analysis of the asymptotic behavior and convergence of solutions for nonlinear anisotropic singular perturbation problems, including applications to integro-differential equations.

Findings

Limit problem characterization in cylindrical domains

Strong convergence of solutions proved

Application to integro-differential problems included

Abstract

In this article we study the asymptotic behavior, of the solution of a nonlinear elliptic, anisotropic singular perturbations problem in cylindrical domain, the limit problem is given and strong convergences are proved, we also give an application to intergo-differential problems.