Abstract. We consider the subcritical problem (I) ??? ?? ??u = N(N ? 2)up?? in A u > 0 in A u = 0 on ?A where A is an annulus in RN, N ? 3, p + 1 = 2N N?2 is the critical Sobolev exponent and ? > 0 is a small parameter.We prove that solutions of (I) which concentrate at one or two points are axially symmetric.
Symmetry of positive solutions of an almost critical problem in an annulus / D., Castorina; Pacella, Filomena. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 23:(2005), pp. 125-138. [10.1007/s00526-004-0292-7]
Symmetry of positive solutions of an almost critical problem in an annulus
PACELLA, Filomena
2005
Abstract
Abstract. We consider the subcritical problem (I) ??? ?? ??u = N(N ? 2)up?? in A u > 0 in A u = 0 on ?A where A is an annulus in RN, N ? 3, p + 1 = 2N N?2 is the critical Sobolev exponent and ? > 0 is a small parameter.We prove that solutions of (I) which concentrate at one or two points are axially symmetric.File allegati a questo prodotto
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