Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials

Abstract

In this paper we are concerned with qualitative properties of entire solutions to a Schrödinger equation with sublinear nonlinearity and sign-changing potentials. Our analysis considers three distinct cases and we establish sufficient conditions for the existence of infinitely many solutions.

RETRACTED ARTICLE: Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem

“…Such a distribution is introduced in order to model physically the defect at the point x = a (see [7]). The function g represents a generalization of the classical nonlinear Schrödinger equation (see for example [8]). As for other contributions to the analysis of nonlinear Schrödinger equations, we refer to Refs.…”

Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems

“…For example, when V is radially symmetric, it is natural to look for radially symmetric solutions, see [36,42]. On the other hand, after the paper of Rabinowitz [33] where the potential V is assumed to be coercive, several different assumptions are adopted in order to obtain existence and multiplicity results (see [6,9,22,39,40]). For the case s = 1, problem (1.1) becomes…”

A Note on the Existence Results for Schrödinger–Maxwell System with Super-Critical Nonlinearitie

“…In recent years, a number of papers have contributed to investigate the existence of solutions of (1.1). We can cite [1,2,3,4,7,8,9,11,12,16] and the references therein. For the case where Ω is a bounded domain, we would like to cite the papers of Ruiz and Siciliano [17] and Siciliano [18].…”