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Kirchhoff型问题的变号解和多重解 被引量：2

Sign-Changing and Multiple Solutions for Kirchhoff Type Problems
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摘要 使用变分方法中的下降流的不变集技巧研究了一类Kirchhoff型问题的变号解和多重解,所得的结果改进了文后参考文献[1]中的定理1.2. By applying the existence of sign-changing and multiple solutions for Kirchhoff type problems via invariant sets of descent flow,a new result of sign-changing and multiple solutions is obtained,which improves corresponding result of [1]Theorem 1.2.
作者 张绍康 熊绍武
机构地区 昭通师范高等专科学校数学系
出处 《昆明学院学报》 2010年第3期16-17,37,共3页 Journal of Kunming University
基金 昭通师范高等专科学校科学基金资助项目(XJKZ0910)
关键词 Kirchhoff型问题 变号解 多重解 临界点 Kirchhoff type problems sign-changing solutions multiple solutions critical point
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献8

  • 1MAO A,ZHANG Z. Sign-changing and multiple solutions of Kirchhoff type problems without the P. S. condition [ J]. Nonlinear Analysis,2009,70 (3) :1275 - 1287.
  • 2ALVES C O, CORREA F J S A, MAT F. Positive solutions for a quasilinear elliptic equation of Kirchhoff type [ J ]. Computers & Mathematics with Applications,2005,49( 1 ) :85 -93.
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  • 4CAVALCANTI M M,DOMINGOS V N,SORIANO J A. Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation [ J ]. Advances Differential Equations,2001,6:701 - 730.
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同被引文献14

  • 1Kirchhoffm G.Mechanik[M].Teubner.Leipzig,1883.
  • 2Bernstein S.Sur uneclasses d’équations fonctionnelles aux dérivées partielles[J].Izvestiya Rossiiskoi Akademii Nauk.Seriya Matematicheskaya,1940,4(1):17-26.
  • 3Pohozhaev S I.On a class of quasilinear hyperbolic equations[J].Matematicheskii Sbornik,1975,138(1):152-166.
  • 4Autuori G,Pucci P,Salvatori M C.Global nonexistence for nonlinear Kirchhoff systems[J].Arch Ration Mech Anal,2010,196(5):489-516.
  • 5Chen C,Song H,Xiu Z.Multiple solutions for p-Kirchhoff equations in RN[J].Nonlinear Anal,2013,86(6):146-156.
  • 6Chen S.J,Li L.Multiple solutions for the non homogeneous Kirchhoff equation on RN[J].Nonlinear Anal RWA,2013,14(3):1477-1486.
  • 7Colauonno F,Pucci P.Multiplicity solutions for p(x)-poly harmonic elliptic Kirchhoff equations[J].Nonlinear Anal,2011,74(17):5962-5974.
  • 8Figueiredo G M.Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument[J].Math Anal Appl,2013,401(2):706-713.
  • 9Júlio F,Corrêa S A,Figueiredo G M.On an elliptic equation of p-Kirchhoff type via variational methods[J].Bull Aust Math Soc,2006,74:263-277.
  • 10Kim D,Kim S,Jung I H.Stabilization for the Kirchhoff type equation from an axially moving heterogeneous string modeling with boundary feedback control[J].Nonlinear Anal,2012,75(2):3598-3617.

引证文献2

昆明学院学报
2010年 第3期

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