Browsing by Author "Wei, Juncheng"

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    Fast and slow decay solutions for supercritical elliptic problems in exterior domains
    (2008) Davila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng
    We consider the elliptic problem Delta u + u(p) = 0, u > 0 in an exterior domain, Omega = R(N)\D under zero Dirichlet and vanishing conditions, where D is smooth and bounded in R(N), N >= 3, and p is supercritical, namely p > N+2/N-2. We prove that this problem has infinitely many solutions with slow decay O(vertical bar x vertical bar(-2/p-1)) at infinity. In addition, a solution with fast decay O(vertical bar x vertical bar(2- N)) exists if p is close enough from above to the critical exponent.