In this paper we estimate the number of solutions to -Delta w + V(x)w = n(n - 2)w((n+2)/(n-2)-is an element of) in R-n w > 0 in R-n w is an element of D-1,D-2 (R-n) which blow tip at a suitable critical point of the potential V as the parameter is an element of goes to zero.
On the number of blowing-up solutions to a nonlinear elliptic equation with critical growth / Anna Maria, Micheletti; Pistoia, Angela; Daniela, Visetti. - In: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. - ISSN 0035-7596. - 37:1(2007), pp. 291-325. [10.1216/rmjm/1181069333]
On the number of blowing-up solutions to a nonlinear elliptic equation with critical growth
PISTOIA, Angela;
2007
Abstract
In this paper we estimate the number of solutions to -Delta w + V(x)w = n(n - 2)w((n+2)/(n-2)-is an element of) in R-n w > 0 in R-n w is an element of D-1,D-2 (R-n) which blow tip at a suitable critical point of the potential V as the parameter is an element of goes to zero.File allegati a questo prodotto
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