Global Continua of Positive Equilibria for some Quasilinear Parabolic   Equation with a Nonlocal Initial Condition
  This paper is concerned with a quaslinear parabolic equation including a nonlinear nonlocal initial condition. The problem arises as equilibrium equation in population dynamics with nonlinear diffusion. We make use of global bifurcation theory to prove existence of an unbounded continuum of positive solutions. 
Christoph Walker
math.AP