We study the Dirichlet problem for the slightly subcritical Hénon equation on the unit ball in R^N, with N ≥ 3. We prove that for every integer k ≥ 1 the problem has a solution which blows up at k different points of the boundary of the ball as the exponent of the nonlinearity tends to the critical one. We also show that the ground state solution (which blows up at one point) is unique.

Multi-peak solutions for the Hénon equation with slightly subcritical growth / Pistoia, A; Serra, Enrico. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 256:(2007), pp. 75-97.

Multi-peak solutions for the Hénon equation with slightly subcritical growth

SERRA, Enrico
2007

Abstract

We study the Dirichlet problem for the slightly subcritical Hénon equation on the unit ball in R^N, with N ≥ 3. We prove that for every integer k ≥ 1 the problem has a solution which blows up at k different points of the boundary of the ball as the exponent of the nonlinearity tends to the critical one. We also show that the ground state solution (which blows up at one point) is unique.
2007
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1655738
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