Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (4): 879-889.

• Articles • Previous Articles     Next Articles

Multiple Solutions for the p&q-Laplacian Problem with Supercritical Exponent

 ZHONG Yan-Sheng   

  1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350117
  • Received:2013-02-26 Revised:2014-05-04 Online:2014-08-25 Published:2014-08-25
  • Supported by:

    国家自然科学基金(11026208)、福建省自然科学基金 (2012J05002)、福建师范大学非线性分析及应用创新团队项目(IRTL1206)和博士后基金(2011M501074)资助.

Abstract:

This paper was concerned with the existence of infinitely many weak solutions for the following p&q-Laplacian equation 
under some appropriate assumptions
{-Δpuqu+|u|r-2u=γ|u|s-2u,    in Ω,
u=0,                                           on ∂Ω.

Key words: p&q-Laplacian equation, Supercritical exponent, Functional, Weak-convergence

CLC Number: 

  • 35J60
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