Precise blowup rate near the boundary of boundary blowup solutions to k-Hessian equation

Kazuhiro Takimoto ()
Additional contact information
Kazuhiro Takimoto: Hiroshima University

Partial Differential Equations and Applications, 2021, vol. 2, issue 1, 1-10

Abstract: Abstract We consider boundary blowup problem for k-Hessian equation of the form $$F_k[u] = f(x)g(u)$$ F k [ u ] = f ( x ) g ( u ) in a uniformly $$(k-1)$$ ( k - 1 ) -convex domain $$\Omega \subset {\mathbb {R}}^n$$ Ω ⊂ R n , where f(x) behaves like $$\mathop {\mathrm {dist}} \nolimits (x,\partial \Omega )^{\alpha }$$ dist ( x , ∂ Ω ) α as $$\text {dist}(x,\partial \Omega ) \rightarrow 0$$ dist ( x , ∂ Ω ) → 0 and g(u) behaves like $$u^p$$ u p as $$u \rightarrow \infty$$ u → ∞ . We obtain the precise blowup rate of a solution u near the boundary $$\partial \Omega$$ ∂ Ω .

Keywords: 35J60; 35B44; 35B40; 35J96 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-021-00071-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:pardea:v:2:y:2021:i:1:d:10.1007_s42985-021-00071-1

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-021-00071-1

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().