Hénon equation with nolinearities involving Sobolev critical growth in H1 0,rad(B1)
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In 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.
CitationBarboza, 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). Electronic Journal of Differential Equations, 2021(20), pp. 1-18.
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