On a singular nonlinear elliptic boundary-value problem

1991/03/01 by A. C. Lazer, P. J. McKenna · 26 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Differential Equations and Boundary Problems

paper · doi:10.1090/s0002-9939-1991-1037213-9

Abstract

We consider the singular boundary-value problem Au+p(x)u~7 = 0 in d, u | 9Í2 = 0 , where y > 0 .Under the assumption p(x) > 0 and certain smoothness assumptions, we show that there exists a solution which is smooth on £2 and continuous on Í2 .

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