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Energy Analysis, Phase Plane, Initial Value Problems and the Existence of Infinitely Many Solutions to Superlinear Elliptic Problems

  • Alfonso Castro,
  • Jorge Cossio,
  • Sigifredo Herrón,
  • Carlos Vélez

摘要

We showcase the effectiveness of tools from the theory of ordinary differential equations, such as the shooting method, phase-plane and energy analysis, and the examination of initial value problems, in obtaining the existence of multiple radial solutions for semilinear and quasilinear elliptic partial differential equations.