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一类超线性椭圆方程的无穷多解 被引量：22

Infinitely Many Solutions for a Superlinear Elliptic Equation
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摘要 本文研究了一类超线性椭圆方程,这里的非线性项是奇的.我们不需要假设Ambrosetti-Rabinowitz条件,得到了无穷多个大能量解的存在性.我们的结论推广了邹文明最近的结果。 In this paper, we consider a superlinear elliptic equation, where the non-linearity is odd. Under no Ambrosetti-Rabinowitz's condition, infinitely many large energy solutions are obtained. Our result generalizes the recent result of Zou W. M..
作者 刘轼波 李树杰
机构地区 中国科学院数学与系统科学研究院数学研究所
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2003年第4期625-630,共6页 Acta Mathematica Sinica：Chinese Series
基金 国家自然科学基金973(2178200) 北京市自然科学基金(1022003)
关键词 超线性 CERAMI条件 喷泉定理 Superlinear Cerami's condition Fountain theorem
分类号 O175.25 [理学—基础数学]
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参考文献10

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同被引文献133

  • 1王征平,阮立志.含有Sobolev-Hardy临界指标的奇异椭圆方程无穷多解的存在性[J].应用数学,2004,17(4):639-648. 被引量：5
  • 2沈尧天,李周欣.含临界指数的p-Laplacian方程的特征值问题[J].华南理工大学学报（自然科学版）,2005,33(11):111-114. 被引量：3
  • 3张申贵.超二次Hamilton系统的无穷多周期解[J].甘肃联合大学学报（自然科学版）,2006,20(1):10-13. 被引量：2
  • 4王少敏,杨培亮.一类二阶哈密顿系统的周期解[J].江西师范大学学报（自然科学版）,2007,31(2):174-177. 被引量：2
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  • 6[4]Bartsch P,Benci V,Fortunato D.Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity[J].Nonl Anal TMA.1983(7):981-1012.
  • 7[5]Jeanjean L.On the existence of bounded Palais-Smale seequences and application to a Landesman-Lazer type problem set on Rn.Proc Roy Soc.Edinburgh.1999,(129A):787-809.
  • 8KRISTALY A,MOROSANU G,TERSIAN S.Quasilinear elliptic problems in Rn involving oscillatory nonlinearities[J].J.Diff.Eqau,20O7,235:366-375.
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  • 10KAJIKIYA R.A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations[J].J.Func.Anal,2005,225:352-370.

引证文献22

二级引证文献15

数学学报（中文版）
2003年 第4期

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