Hénon equation with nolinearities involving Sobolev critical growth in H1 0,rad(B1)
| dc.contributor.author | Barboza, Eudes M. | |
| dc.contributor.author | Miyagaki, Olimpio H. | |
| dc.contributor.author | Pereira, Fabio | |
| dc.contributor.author | Santana, Claudia | |
| dc.date.accessioned | 2021-08-20T20:18:54Z | |
| dc.date.available | 2021-08-20T20:18:54Z | |
| dc.date.issued | 2021-03-29 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14417 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Henon type equation | |
| dc.subject | Critical Sobolev growth | |
| dc.subject | Resonance | |
| dc.subject | Noncompact variational problem | |
| dc.title | Hénon equation with nolinearities involving Sobolev critical growth in H1 0,rad(B1) | |
| dc.type | Article |