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has been cited by the following article:

• TITLE: Existence of a Sigh-Changing Solution Result for Logarithmic Schrödinger Equations with Weight Function

  AUTHORS: Jingxing Huang, Junhui Xie

  KEYWORDS: Logarithmic Schrödinger Equations, Weight Function, Constrained Minimization Method, Symmetric Mountain Pass Theorem

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.7, July 30, 2024

  ABSTRACT: This paper is devoted to studying the existence of solutions for the following logarithmic Schrödinger problem: −div( a( x )∇u )+V( x )u=ulog u 2 +k( x ) | u | q 1 −2 u+h( x ) | u | q 2 −2 u,  x∈ ℝ N . (1)We first prove that the corresponding functional I belongs to C 1 ( H V 1 ( ℝ N ),ℝ ) . Furthermore, by using the variational method, we prove the existence of a sigh-changing solution to problem (1).