On Existence of Solution for a Class of Semilinear Elliptic Equations with Nonlinearities That Lies between Different Powers

Claudianor O. Alves and Marco A. S. Souto

Abstract and Applied Analysis, 2008, vol. 2008, issue 1

Abstract: We prove that the semilinear elliptic equation −Δu = f(u), in Ω, u = 0, on ∂Ω has a positive solution when the nonlinearity f belongs to a class which satisfies μtq ≤ f(t) ≤ Ctp at infinity and behaves like tq near the origin, where 1

Date: 2008
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2008/578417

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:2008:y:2008:i:1:n:578417

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 ().