Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem
Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem
Positive solutions of the semilinear elliptic boundary value problem -~u(x) = g(x)f(u(x)) on D, Bu = 0 on aD are studied where D is a bounded region and f is concave.It is proved that every positive non-constant solution is linearly stable and using fixed point index arguments results on existence …