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.
Rights
Attribution 4.0 International