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Abstract: In this paper we prove that every entire curve in a smooth hypersurface of degree in must satisfy an algebraic differential equation of order 3. The logarithmic version of this result is given proving that every entire curve in the complement of a smooth surface of degree in must satisfy an algebraic differential equation of order 3. [Copyright &y& Elsevier]

Abstract: In this paper we will study some questions concerning solutions of Yamabe''s equation on an annulus of with different data on the boundary. The important problem: “what about the radial solution u satisfying () and ” is solved. [Copyright &y& Elsevier]

Abstract: Let T be a closed positive current of dimension p in and H an analytic subvariety of of dimension . We denote by the slice of T in H if it exists. We consider the functions on defined by and . The aim of this paper is to establish relationship between the growth of these functions. We prove results generalizing those of L. Gruman in [Séminaire Lelong–Skoda 1981–1983, Lecture Notes in Math., vol. 1028, Springer-Verlag, Berlin, 1983, pp. 125–162] and B. Molzan, B. Shiffman and N. Sibony in [Math. Ann. 257 (1981) 43]. [Copyright &y& Elsevier]