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On a quasilinear elliptic eigenvalue problem with constraint 被引量:2

On a quasilinear elliptic eigenvalue problem with constraint
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摘要 Via construction of pseudo gradient vector field and descending flow argument, we prove the existence of one positive, one negative and one sign-changing solutions for a quasilinear elliptic eigenvalue problem with constraint. Via construction of pseudo gradient vector field and descending flow argument, we prove the existence of one positive, one negative and one sign-changing solutions for a quasilinear elliptic eigenvalue problem with constraint.
出处 《Science China Mathematics》 SCIE 2004年第4期523-537,共15页 中国科学:数学(英文版)
基金 This work was supported by the National Natural Science Foundation of China(Grant No.10161010) a fund from Fujian Provincial Education Bureau(Grant No.JA02160).
关键词 multiple solutions sign-changing solution CRITICAL point theory QUASILINEAR ELLIPTIC eigenvalue. multiple solutions sign-changing solution critical point theory quasilinear elliptic eigenvalue
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  • 1Zhaoli Liu,Jingxian Sun.Four versus two solutions of semilinear elliptic boundary value problems[J].Calculus of Variations and Partial Differential Equations.2002(3)
  • 2Yongqing Li,Zhaoli Liu.Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint[J].Science in China Series A: Mathematics.2001(1)

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