Showing papers by "Claudianor O. Alves published in 1996"
Journal Article•
TL;DR: In this paper, the authors give a method for obtaining radially symmetric solutions for the critical exponent problem u +a(x)u = u q +u 2 1 in R N u> 0a nd R RN jruj 2 0.
Abstract: We give a method for obtaining radially symmetric solutions for the critical exponent problem u +a(x)u = u q +u 2 1 in R N u> 0a nd R RN jruj 2 0. We remark that, dierently from the literature, we do not require any conditions on a at innity.
48 citations
22 Oct 1996
TL;DR: In this article, the authors used variational arguments (namely Ekeland's Principle and the Mountain Pass Theorem) to study the equation u +a(x)u = u q +u 2 1 in R N : the main concern is overcoming compactness diculties due both to the unboundedness of the domain R N, and the presence of the critical exponent 2 =2 N=(N 2).
Abstract: In this note we use variational arguments {namely Ekeland’s Principle and the Mountain Pass Theorem{ to study the equation u +a(x)u = u q +u 2 1 in R N : The main concern is overcoming compactness diculties due both to the unboundedness of the domain R N , and the presence of the critical exponent 2 =2 N=(N 2).
7 citations