4.6 Article

Existence of a ground state solution for a nonlinear scalar field equation with critical growth

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Publisher

SPRINGER
DOI: 10.1007/s00526-011-0422-y

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Funding

  1. CNPq/Brazil [620150/2008-4, 303080/2009-4, 302650/2008-3]
  2. FAPESP [2009/14218-2]
  3. CAPES/Brazil [PROCAD 024/2007]
  4. CNPq

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In the present paper, we establish the existence of Ground State Solutions for some class of Elliptic problems with Critical Growth in R(N) for N >= 2. Our results complete the study made in Berestycki and Lions (Arch Rat Mech Anal 82:313-346, 1983) and Berestycki, GallouA << t and Kavian (C R Acad Sci Paris Ser I Math 297:307-310, 1984), in the sense that, in those papers only the subcritical growth was considered.

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