Symmetric positive solutions to a singular φ-Laplace equation

3 years ago

Abstract

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.

Authors

Petru Jebelean
Department of Mathematics, West University of Timişoara, Timişoara, Romania

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Paper coordinates

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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Journal

Journal London Mathematical Society

Publisher Name

London Mathematical Society

DOI

https://doi.org/10.1112/jlms.12183

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Online ISSN

1469-7750

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