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

Clapp, Mónica; Weth, Tobias
September 2004
Calculus of Variations & Partial Differential Equations;Sep2004, Vol. 21 Issue 1, p1
Academic Journal
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.


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