The localization of positive symmetric solutions to the Dirichlet problem for second-order ordinary differential equations involving a singular φ-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.
Department of Mathematics, West University of Timişoara, Timişoara, Romania
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
P. Jebelean, R. Precup, Symmetric positive solutions to a singular φ-Laplace equation, J. London Math. Soc. 99 (2019), 495-515, https://doi.org/10.1112/jlms.12183
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