Problem with Critical Sobolev Exponent and with Weight |
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Authors: | Rejeb HADIJI |
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Institution: | UFR des Sciences et Technologie,CNRS UMR 8050,Université Paris 12-Val-de-Marne,61,avenue du Gééal de Gaulle,94010 Créteil Cedex,France |
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Abstract: | The authors consider the problem: −div(p∇u) = u
q−1 +λu, u > 0 in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in ℝ
n
, n ≥ 3,
is a given positive weight such that
is a real constant and
, and study the effect of the behavior of p near its minima and the impact of the geometry of domain on the existence of solutions for the above problem. |
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Keywords: | Critical Sobolev exponent Variational methods |
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