In:
Abstract and Applied Analysis, Hindawi Limited, Vol. 2014 ( 2014), p. 1-14
Abstract:
Using the suitable Trudinger-Moser inequality and the Mountain Pass Theorem, we prove the existence of multiple solutions for a class of N -Laplacian equations with critical growth and indefinite weight - div ∇ u N - 2 ∇ u + V x u N - 2 u = λ u N - 2 u / x β + f x , u / x β + ɛ h x , x ∈ ℝ N , u ≠ 0 , x ∈ ℝ N , where 0 〈 β 〈 N , V ( x ) is an indefinite weight, f : ℝ N × ℝ → ℝ behaves like exp α u N / N - 1 and does not satisfy the Ambrosetti-Rabinowitz condition, and h ∈ ( W 1 , N ( ℝ N ) ) * .
Type of Medium:
Online Resource
ISSN:
1085-3375
,
1687-0409
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2014
detail.hit.zdb_id:
2064801-7
SSG:
17,1
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