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The Index Classification Theory for Neumann Boundary Value with Homogeneous p-Laplacian Equation

SONG Shi-min(Department of Mathematics,Nanjing Normal University,Jiangsu 210097,China)  
In this paper,we investigate the existence of trivial solutions and nontrivial solutions for homogeneous p-Laplacian equation(p(u′))′+q(t)p(u)=0,a.e on ,u′(0)=0=u′(1),wherep(s)=|s|p-2s,p1,q∈L∞(0,1).Our methods are based on prüfer transformation and index classification theory.
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