WenLin Zhang, Michal Feckan, JinRong Wang
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.
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