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On the Existence of Positive Solutions to a Three‐Point Boundary Value Problem for the One‐Dimensional p ‐Laplacian
Author(s) -
Wang J.Y.,
Zheng D.W.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970770618
Subject(s) - fixed point theorem , mathematics , picard–lindelöf theorem , simple (philosophy) , brouwer fixed point theorem , value (mathematics) , boundary value problem , p laplacian , laplace operator , point (geometry) , mathematical analysis , geometry , philosophy , statistics , epistemology
The existence of positive solutions to a three‐point boundary value problem for the one‐dimensional p ‐Laplacian is proved by a simple application of a Fixed Point Theorem in cones due to Krasnoselskii and the Arzela‐Ascoli Theorem.