Ground-State Solutions for a Class ofN-Laplacian Equation with Critical Growth | Zendy

Guoqing Zhang | Zendy; Jing Sun | Zendy

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

Author(s) -

Guoqing Zhang,

Jing Sun

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/831468

Subject(s) - lemma (botany) , laplace operator , mathematics , class (philosophy) , manifold (fluid mechanics) , identity (music) , pure mathematics , mathematical analysis , computer science , physics , artificial intelligence , biology , mechanical engineering , ecology , poaceae , acoustics , engineering

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. © 2012 Guoqing Zhang and Jing Sun.

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