Positive solutions of the p-Laplace equation with singular nonlinearity
- Mohammed, Ahmed
Publication date
April 2009
DOI Publisher
Elsevier Inc. ISSN
0022-247X Citation count (estimate)
16Abstract
AbstractFor 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 u∈W01,p(Ω). 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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