Global bifurcation and local multiplicity results for elliptic equations with singular nonlinearity of super exponential growth in \(\mathbb R^2\). (English) Zbl 1258.35073

The authors consider solutions to the singular elliptic problem of exponential type growth in a bounded smooth domain. They make a detailed study of the low-up/convergence of the solution branch as it approaches the asymptotic bifurcation point at infinity.
Reviewer: Jiaqi Mo (Wuhu)


35J20 Variational methods for second-order elliptic equations
35J65 Nonlinear boundary value problems for linear elliptic equations
35J70 Degenerate elliptic equations
35B32 Bifurcations in context of PDEs