Asymptotic behavior of bifurcation curves of ODEs with oscillatory nonlinear diffusion

Tetsutaro Shibata

We consider the nonlinear eigenvalue problem $[D(u(t))u(t{)}^{\prime }{]}^{\prime }+\lambda g(u(t))=0$, $u(t)>0$, $t\in I:=(0,1)$, $u(0)=u(1)=0$, which comes from the porous media type equation. H…