On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth. (26th September 2002)

• Record Type: Journal Article
• Authors: Souto, Marco A. S.
• Is Part Of: Abstract and applied analysis. Volume 7:Number 10(2002)
• Page Start: 547
• Page End: 561
• Publication Date: 2002-09-26
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/S1085337502206028
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We study the location of the peaks of solution for the critical growth problem− ε 2 Δ u + u = f ( u ) + u 2 * − 1, u > 0 inΩ, u = 0 on∂ Ω, whereΩ is a bounded domain;2 * = 2 N / ( N − 2 ), N ≥ 3, is the critical Sobolev exponent andf has a behavior likeu p, 1 < p < 2 * − 1 .