Stability of positive solutions to p&2-Laplace type equations
Source
Differential Equations & Applications
Date Issued
2013-11-01
Author(s)
Tyagi, Jagmohan
Abstract
we first show the existence of a positive solution to
−Δpu−αΔu=λ(u− f(u)) inΩ,
u=0 on ∂Ω,
by the method of lower and upper solutions and then under certain conditions on f , we show the stability of positive solution.
−Δpu−αΔu=λ(u− f(u)) inΩ,
u=0 on ∂Ω,
by the method of lower and upper solutions and then under certain conditions on f , we show the stability of positive solution.
Subjects
Positive solutions
p&2–Laplace