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《Journal of Southwest University(Natural Science Edition)》 2009-01
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Multiplicity Results for a Class of Quasilinear Neumann Eigenvalue Problems

LI Xiang-feng1,2,XU Wan-yin11. Department of Mathematics,Longdong University,Qingyang Gansu 745000,China;2. College of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China  
By using variational method and B.Ricceri's a three critical points theorem,sufficient condition that guarantees the existence of at least three weak solutions for a class of quasilinear nonautonomous Neumann problems:-(|u'(t)|p-2u'(t))'+|u|p-2u=λf(t,u(t)),0t1; u'(0)=u'(1)=0 is established. The results of the recent literatures are generalized and complemented.
【Fund】: 甘肃省高校研究生导师科研基金资助项目(G0810-03)
【CateGory Index】: O175.8
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