Hénon equation with nolinearities involving Sobolev critical growth in H1 0,rad(B1)

Date

2021-03-29

Authors

Barboza, Eudes M.
Miyagaki, Olimpio H.
Pereira, Fabio
Santana, Claudia

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

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.

Description

Keywords

Henon type equation, Critical Sobolev growth, Resonance, Noncompact variational problem

Citation

Barboza, 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.

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Attribution 4.0 International

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