In this paper we consider the equation {equation presented}. During last thirty years the question of the existence and multiplicity of solutions to (E) has been widely investigated mostly under symmetry assumptions on a. The aim of this paper is to show that, differently from those found under symmetry assumption, the solutions found in [6] admit a limit configuration and so (E) also admits a positive solution of infinite energy having infinitely many "bumps".
Nonlinear scalar field equations: Existence of a positive solution with infinitely many bumps / Cerami, Giovanna; Passaseo, D; Solimini, Sergio Fausto. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 32:1(2015), pp. 23-40. [10.1016/j.anihpc.2013.08.008]
Nonlinear scalar field equations: Existence of a positive solution with infinitely many bumps
CERAMI, Giovanna;SOLIMINI, Sergio Fausto
2015
Abstract
In this paper we consider the equation {equation presented}. During last thirty years the question of the existence and multiplicity of solutions to (E) has been widely investigated mostly under symmetry assumptions on a. The aim of this paper is to show that, differently from those found under symmetry assumption, the solutions found in [6] admit a limit configuration and so (E) also admits a positive solution of infinite energy having infinitely many "bumps".I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
