MULTIPLE NONTRIVIAL SOLUTIONS FOR A CLASS OF SEMILINEAR POLYHARMONIC EQUATIONS

In this paper, we are concerned with the following problem：{（-△）ku=λf（x）｜u｜q-2u＋g（x）｜u｜k＊-2u, x∈Ω, u∈H k0 （Ω）, where Ωis a bounded domain in RN with N ≥2k＋1, 1〈q〈2,λ〉0, f, g are continuous functions on Ω which are somewhere positive but which may change sign on Ω. k＊ = N2/N-2k is the critical Sobole...

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Veröffentlicht in:	Acta mathematica scientia 2014-09, Vol.34 (5), p.1495-1509
1. Verfasser:	尚月赟 王莉
Format:	Artikel
Sprache:	eng
Schlagworte:	critical exponents Exponents Functions (mathematics) Manifolds Mathematical analysis nontrivial solutions polyharmonic problems variational methods 临界指数 半线性 多解 多重调和方程 连续函数 非平凡解
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