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Existence results of a Schr\(\ddot{o}\)dinger equation involving a nonlinear operator
Yan Sun
Keywords:Nonlinear Schr\(\ddot{o}\)dinger equation; Nondecreasing operator; Positive solution; Existence; Monotonicity
Abstract:
      In this article, by making use of a completely different approach, i. e. monotone operator theory and analysis techniques, we present the existence of positive solutions for a nonlinear Schr\(\ddot{o}\)dinger equations in a unique way under reasonable conditions. Moreover, illustrative examples are also presented.