Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620323 | Journal of Mathematical Analysis and Applications | 2009 | 12 Pages |
Abstract
For a given bounded domain Ω in Rn with C1,ϖ boundary for some 0<ϖ<1, and a possibly singular nonlinearity f on Ω×(0,∞), we give sufficient conditions on f so that the p-Laplace equation −Δpu=f(x,u) admits a solution . On the basis of a comparison principle we will give a sufficient condition under which such a problem admits a unique solution.
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