Global bifurcation of positive solutions of asymptotically linear elliptic problems (Q1724890)

Summary: We are concerned with determining values of \(\lambda\), for which there exist positive solutions of the nonlinear elliptic problem \(- \Delta u = \lambda a(x) f(u) \text{in} \Omega\), \(\partial u / \partial \mathbf{n} + b(x) g(u) = 0 \text{on} \partial \Omega \). The proof of our main results is based upon unilateral global bifurcation theorem of López-Gómez.