On a biharmonic equation involving nearly critical exponent
نویسندگان
چکیده
منابع مشابه
A nondegeneracy result for least energy solutions to a biharmonic problem with nearly critical exponent
Consider the problem ∆2u = c0K(x)uε , u > 0 in Ω, u = ∆u = 0 on ∂Ω, where Ω is a smooth bounded domain in RN (N ≥ 5), c0 = (N − 4)(N − 2)N(N + 2), p = (N + 4)/(N − 4), pε = p− ε and K is a smooth positive function on Ω. Under some assumptions on the coefficient function K, which include the nondegeneracy of its unique maximum point as a critical point of HessK, we prove that least energy soluti...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2006
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-006-4022-z