Barboza, Eudes M.Miyagaki, Olimpio H.Pereira, FabioSantana, Claudia2021-08-202021-08-202021-03-29Barboza, E. M., Miyagaki, O. H., Pereira, F. R., & Santana, C. R. (2021). Hénon equation with nolinearities involving Sobolev critical growth in H1 0,rad(B1). <i>Electronic Journal of Differential Equations, 2021</i>(20), pp. 1-18.1072-6691https://hdl.handle.net/10877/14417In this article we study the Hénon equation -Δu = λ|x|μu + |x|α|u|2*α-2u in B1, u = 0 on ∂B1, where B1 is the ball centered at the origin of RN (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.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalHenon type equationCritical Sobolev growthResonanceNoncompact variational problemArticle