Ahmed Hamydy, Mohammed Massar, Najib Tsouli
Abstract:
We study the existence of solutions for the
p-Kirchhoff type problem involving the critical Sobolev
exponent,
where
is a bounded smooth domain of
,
,
is the critical Sobolev
exponent,
is a positive parameter, f and g are
continuous functions. The main results of this paper establish, via
the variational method. The concentration-compactness principle
allows to prove that the Palais-Smale condition is satisfied below a
certain level.
Submitted July 26, 2011. Published August 16, 2011.
Math Subject Classifications: 35A15, 35B33, 35J62.
Key Words: p-Kirchhoff; critical exponent; parameter; Lions principle.
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Ahmed Hamydy University Mohamed I, Faculty of sciences Department of Mathematics, Oujda, Morocco email: a.hamydy@yahoo.fr | |
Mohammed Massar University Mohamed I, Faculty of sciences Department of Mathematics, Oujda, Morocco email: massarmed@hotmail.com | |
Najib Tsouli University Mohamed I, Faculty of sciences Department of Mathematics, Oujda, Morocco email: tsouli@hotmail.com |
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