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Positive radial solutions of p ‐Laplacian equation with sign changing nonlinear sources
Author(s) -
Jin Chunhua,
Yin Jingxue,
Wang Zejia
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.771
Subject(s) - mathematics , singularity , sign (mathematics) , mathematical analysis , nonlinear system , p laplacian , ball (mathematics) , laplace operator , singular solution , boundary value problem , physics , quantum mechanics
This paper is concerned with the p ‐Laplacian equation with singular sources which is allowed to change sign in a ball. The singularity may occur at the zero points of solutions and on the boundary. Using the upper and lower solutions method, we establish the existence of positive radial solutions for the problem considered. Copyright © 2006 John Wiley & Sons, Ltd.