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Existence Results for the Periodic Thomas‐Fermi‐Dirac‐von Weizsäcker Equations

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Listed:
  • Shaowei Chen
  • Lishan Lin
  • Liqin Xiao

Abstract

We consider the Thomas‐Fermi‐Dirac‐von Weizsäcker equation −Δu + V(x)u + (u2⋆(1/|x|))u = λ|u|p−2u − |u|q−2u, u∈H1R3, where λ > 0 is a parameter, 2 0, this equation has a nontrivial solution.

Suggested Citation

  • Shaowei Chen & Lishan Lin & Liqin Xiao, 2015. "Existence Results for the Periodic Thomas‐Fermi‐Dirac‐von Weizsäcker Equations," Advances in Mathematical Physics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:652407
    DOI: 10.1155/2015/652407
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    References listed on IDEAS

    as
    1. Shaowei Chen & Liqin Xiao, 2014. "Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger‐Poisson System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Chun Li & Zeng-Qi Ou & Chun-Lei Tang, 2013. "Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, December.
    3. Chun Li & Zeng-Qi Ou & Chun-Lei Tang, 2013. "Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth‐Order Elliptic Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Shaowei Chen & Liqin Xiao, 2014. "Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, February.
    5. Chunhan Liu & Jianguo Wang, 2013. "Existence of Multiple Solutions for a Class of Biharmonic Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-5, December.
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