Fine topology and fine trace on the boun
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E. B. Dynkin; S. E. Kuznetsov
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Article
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1998
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John Wiley and Sons
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English
⚖ 576 KB
We investigate the set of all positive solutions of a semilinear equation Lu = ψ(u) where L is a second-order elliptic differential operator in a domain E of R d or, more generally, in a Riemannian manifold and ψ belongs to a wide class of convex functions that contains ψ(u) = u α for all α > 1. We