Abstract

We consider the following Hénon equation with supercritical exponent: −Δu=K(|y|)up+ɛ,u>0, in B1(0),u=0, on ∂B1(0),where B1(0) is the unit ball in RN(N≥4), p=2∗−1,2∗=2NN−2, K(r)∈C1[0,1]. We prove the asymptotic non-degeneracy of multipeak solution constructed in Liu and Peng (2016) via the local Pohozaev identities.

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