In this paper we estimate the number of solutions to {-Δω + V(x)ω = n(n - 2)ω in R ω > 0 in R ω ∈ D(R) which blow up at a suitable critical point of the potential V as the parameter ∈ goes to zero. Copyright © 2007 Rocky Mountain Mathematics Consortium.
Micheletti, A., Pistoia, A., Visetti, D. (2007). On the number of blowing-up solutions to a nonlinear elliptic equation with critical growth. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 37(1), 291-325 [10.1216/rmjm/1181069333].
On the number of blowing-up solutions to a nonlinear elliptic equation with critical growth
Visetti D
2007
Abstract
In this paper we estimate the number of solutions to {-Δω + V(x)ω = n(n - 2)ω in R ω > 0 in R ω ∈ D(R) which blow up at a suitable critical point of the potential V as the parameter ∈ goes to zero. Copyright © 2007 Rocky Mountain Mathematics Consortium.
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