We study the generalized boundary value problem for (E)\; −Δu+∣u∣q−1u=0 in a dihedral domain \Gw, when q>1 is supercritical. The
value of the critical exponent can take only a finite number of values
depending on the geometry of \Gw. When \gm is a bounded Borel measure in a
k-wedge, we give necessary and sufficient conditions in order it be the
boundary value of a solution of (E). We also give conditions which ensure that
a boundary compact subset is removable. These conditions are expressed in terms
of Bessel capacities Bs,q′ in \BBR^{N-k} where s depends on the
characteristics of the wedge. This allows us to describe the boundary trace of
a positive solution of (E)Comment: To appear Ann. Sc.Norm. Sup. Pisa Cl. Sci. arXiv admin note:
substantial text overlap with arXiv:0907.100