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
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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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About this paper
Journal
Journal London Mathematical Society
Publisher Name
London Mathematical Society
Print ISSN
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Online ISSN
1469-7750
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