Electronic Journal of Differential Equations (Dec 2012)

Infinitely many large energy solutions of superlinear Schrodinger-Maxwell equations

  • Lin Li,
  • Shang-Jie Chen

Journal volume & issue
Vol. 2012, no. 224,
pp. 1 – 9

Abstract

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In this article we study the existence of infinitely many large energy solutions for the superlinear Schrodinger-Maxwell equations $$displaylines{ -Delta u+V(x)u+ phi u=f(x,u) quad hbox{in }mathbb{R}^3,cr -Delta phi=u^2, quad hbox{in }mathbb{R}^3, }$$ via the Fountain Theorem in critical point theory. In particular, we do not use the classical Ambrosetti-Rabinowitz condition.

Keywords