TITLE

Minimal nodal solutions of the pure critical exponent problem on a symmetric domain

AUTHOR(S)
Clapp, Mónica; Weth, Tobias
PUB. DATE
September 2004
SOURCE
Calculus of Variations & Partial Differential Equations;Sep2004, Vol. 21 Issue 1, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We establish existence of nodal solutions to the pure critical exponent problem - Δu = |u|2*-2 u in &Ohm;, u = 0 on ∂&Ohm;, where &Ohm; a bounded smooth domain which is invariant under an orthogonal involution of RN. We extend previous results for positive solutions due to Coron, Dancer, Ding, and Passaseo to existence and multiplicity results for solutions which change sign exactly once.
ACCESSION #
13918443

 

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