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Ground-State Solutions for a Class of N -Laplacian Equation with Critical Growth

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  • Guoqing Zhang
  • Jing Sun

Abstract

We investigate the existence of ground-state solutions for a class of N -Laplacian equation with critical growth in ℝ N . Our proof is based on a suitable Trudinger-Moser inequality, Pohozaev-Pucci-Serrin identity manifold, and mountain pass lemma.

Suggested Citation

  • Guoqing Zhang & Jing Sun, 2012. "Ground-State Solutions for a Class of N -Laplacian Equation with Critical Growth," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, August.
    • Handle: RePEc:hin:jnlaaa:831468
    DOI: 10.1155/2012/831468
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