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一类拟线性奇异椭圆方程无穷多解的存在性 被引量：2

EXISTENCE OF INFINITELY MANY SOLUTIONS FOR SOME QUASILINEAR SINGULAR ELLIPTIC EQUATION
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摘要 本文研究有界区域ΩR^N上拟线性奇异椭圆方程.利用变分法,在f满足非二次条件的情况下,运用对偶喷泉定理证明了存在λ~*>0使得当λ∈(0,λ~*)时,该方程存在无穷多个具有负能量的弱解{u_k}.推广了s=0时的相应结果. In this article,we consider the following quasilinear singular elliptic equation. By using the variational methods,if f satisfies nonquadratic condition,via dual fountain theorem, we prove that there existsλ^〉0 such that for anyλ∈（0,λ^＊）,this problem has a sequence of solutions {uk} belong to  W0^1,p（Ω） such that I（uk）0 and I（uk）→0 as k→＋∞,which generalize the results of the case s = 0.
作者 龚亚英
机构地区 重庆三峡职业学院基础部
出处 《数学杂志》 CSCD 北大核心 2010年第4期726-730,共5页 Journal of Mathematics
关键词 SOBOLEV-HARDY临界指数 拟线性椭圆方程 (PS)_c~*条件 对偶喷泉定理 非二次条件 Sobolev-Hardy critical exponent quasilinear elliptic equation （PS）_c~＊ condition dual fountain theorem nonquadratic condition
分类号 O175.25 [理学—基础数学]
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参考文献10

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共引文献4

同被引文献9

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  • 9廖家锋,张鹏.奇异半线性椭圆问题解的存在与不存在性(英文)[J].数学杂志,2011,31(5):777-784. 被引量：4

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数学杂志
2010年 第4期

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