In this paper we study the problem {-Delta u = |x|(alpha) u(p alpha-epsilon) in Omega, u > 0 in Omega, u = 0 on partial derivative Omega, where p alpha = N+2+2 alpha/N-2, Omega is a smooth bounded domain of R-N, 0 epsilon Omega, N >= 3 and alpha epsilon (0, 1]. We show that, for epsilon small enough, there exists at least one solution concentrating at x = 0. (C) 2012 Elsevier Inc. All rights reserved.
Supercritical elliptic problem with nonautonomous nonlinearities / Francesca, Gladiali; Grossi, Massimo. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 253:9(2012), pp. 2616-2645. [10.1016/j.jde.2012.07.006]
Supercritical elliptic problem with nonautonomous nonlinearities
GROSSI, Massimo
2012
Abstract
In this paper we study the problem {-Delta u = |x|(alpha) u(p alpha-epsilon) in Omega, u > 0 in Omega, u = 0 on partial derivative Omega, where p alpha = N+2+2 alpha/N-2, Omega is a smooth bounded domain of R-N, 0 epsilon Omega, N >= 3 and alpha epsilon (0, 1]. We show that, for epsilon small enough, there exists at least one solution concentrating at x = 0. (C) 2012 Elsevier Inc. All rights reserved.File allegati a questo prodotto
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