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Nonnegative solutions to 1-Laplacian equations at critical growth

LI ZhouXin,LIU ShuMao & JIA RuiLing  
We study the existence of nonnegative solutions in BV space to the following 1-Laplacian equation involving critical exponent-Div(Du/|Du|) = g(x,u) + |u|1*-2u in an open bounded smooth domain ΩIRN,where 1*= N/(N-1),and g(x,u) is a Carathéodory function.
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