Entire Blow‐Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms

Yongju Yang and Xinguang Zhang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We study the existence of entire positive solutions for the semilinear elliptic system with quadratic gradient terms, Δui+|∇ui|2 = pi(|x|)fi(u1, u2, …, ud) for i = 1,2, …, d on RN, N ≥ 3 and d ∈ {1,2, 3, …}. We establish the conditions on pi that ensure the existence of nonnegative radial solutions blowing up at infinity and also the conditions for bounded solutions on the entire space. The condition on fi is simple and different to the Keller‐Osserman condition.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/697565

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:wly:jnlaaa:v:2012:y:2012:i:1:n:697565

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().