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Existence of Prescribed -Norm Solutions for a Class of Schrödinger-Poisson Equation

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  • Yisheng Huang
  • Zeng Liu
  • Yuanze Wu

Abstract

By using the standard scaling arguments, we show that the infimum of the following minimization problem: − can be achieved for and small, where . Moreover, the properties of and the associated Lagrange multiplier are also given if .

Suggested Citation

  • Yisheng Huang & Zeng Liu & Yuanze Wu, 2013. "Existence of Prescribed -Norm Solutions for a Class of Schrödinger-Poisson Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, August.
    • Handle: RePEc:hin:jnlaaa:398164
    DOI: 10.1155/2013/398164
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