Symmetric positive solutions to a singular phi-Laplace equation

摘要

The localization of positive symmetric solutions to the Dirichlet problem for second-order ordinary differential equations involving a singular phi-Laplacian is established in a conical annular set, via Ekeland's variational principle, compression type conditions, and a Harnack type inequality. An application to a one-parameter problem is provided and multiple such solutions are obtained in the case of oscillatory nonlinearities.