UPPER AND LOWER SOLUTION METHOD FOR SINGULAR φ−LAPLACIAN BVPS WITH DERIVATIVE DEPENDING NONLINEARITY ON [0, +∞)

TitleUPPER AND LOWER SOLUTION METHOD FOR SINGULAR φ−LAPLACIAN BVPS WITH DERIVATIVE DEPENDING NONLINEARITY ON [0, +∞)
Publication TypeJournal Article
Year of Publication2010
AuthorsDJEBALI, SMAIL, SAIFI, OUIZA
Secondary TitleCommunications in Applied Analysis
Volume14
Issue4
Start Page463
Pagination480
Date Published12/2010
Type of Workscientific: mathematics
ISSN1083–2564
AMS34B15, 34B18, 34B40, 47H10.
Abstract

This article is concerned with the existence of positive solutions for a class of singular φ−Laplacian boundary value problems posed on the half-line. The nonlinearity depends on the solution and its derivative, and may exhibit a space-singularity at the origin. Some existence results are proved using the upper and lower solution technique in a special Banach space. The onlinearity
obeys sign and growth conditions with respect to the unknown. The singularity is treated by approximation and truncation.

URLhttp://www.acadsol.eu/en/articles/14/4/4.pdf
Short TitleSINGULAR φ−LAPLACIAN BVPS
Refereed DesignationRefereed
Full Text

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