Multiple Solutions for an Elliptic Equation from the Antarctic Circumpolar Current

• WenLin Zhang ^[1] ; Michal Feckan ^[2] ; JinRong Wang ^[1]
  1. [1] Guizhou University

     Guizhou University

     China

     
  2. [2] Comenius University

     Comenius University

     Eslovaquia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
• Idioma: inglés
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• Resumen

  • In this paper, a mathematical model of the second order elliptic equation of the Antarctic Circumpolar Current with Dirichlet boundary is established. By introducing truncation function and perturbation method, the existence of infinitely many solutions for the nonlinear elliptic equations is obtained when the nonlinear ocean vorticity is subcritical growth and super-quadratic.