Asymptotic Behaviors of Solutions to a Quasi-Linear Elliptic Dirichlet Problem with Large Diffusion
In this talk, I will talk about asymptotic behaviors of nontrivial solutions to the Dirichlet problem of a quasi-linear elliptic equation. The main result is to obtain a lower bound for growth of L∞-norm of the solutions, which implies the L∞-norm of the solutions goes to infinity as the diffusion coefficient goes to infinity.
Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE)
"Asymptotic Behaviors of Solutions to a Quasi-Linear Elliptic Dirichlet Problem with Large Diffusion."
Mathematical Sciences Faculty Presentations.