Abstract
(1) under the assumptions that g is of class C2, strictly convex and such that O< lim g’(u)<l,< lim g’(u)<l,, (2) u- -ro It-+;0 where 1, < A2 are the first two eigenvalues of the Dirichlet problem on 52 for -A. They proved that the Holder space C’,“(a) was split into two open sets 0, and O2 by a C’-manifold M such that: (i) if k E Oo. (1) has no solution; (ii) if 12 E M, (1) has exactly one solution; (iii) if h E 02, (1) has exactly two solutions. 422
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