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H´ENON EQUATION WITH NOLINEARITIES INVOLVING SOBOLEV CRITICAL GROWTH IN H 10 , ( B )

. In this article we study the H´enon equation where B 1 is the ball centered at the origin of R N ( N ≥ 3) and µ ≥ α ≥ 0. Under appropriate hypotheses on the constant λ , we prove existence of at least one radial solution using variational methods.