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Symmetric positive solutions to a singular ϕ ‐Laplace equation
Author(s) -
Jebelean Petru,
Precup Radu
Publication year - 2019
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms.12183
Subject(s) - mathematics , mathematical analysis , conical surface , dirichlet problem , harnack's inequality , laplace transform , ordinary differential equation , laplace's equation , laplace operator , order (exchange) , type (biology) , partial differential equation , differential equation , geometry , boundary value problem , ecology , finance , economics , biology
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.