具有p-Laplacian的特征值Dirichlet问题

An Eigenvalue Dirichlet Problem Involving the p-Laplacian

利用变分方法和B.Ricceri的一个三临界点定理,在适当的假设下,建立了具有p-Laplacian的非线性自治特征值Dirichlet问题:{(φp(u′(t)))′+λf(u(t))=0,a<t<b u(a)=u(b)=0至少三个弱解存在的充分条件.

Using variation methods and B. Ricceri＇ s three critical points theorem, sufficient conditions that guarantees the existence of at least three weak solutions to nonlinear sutonomous eigenvalue dirichlet problem involving the p -Laplacian：{（φp（u＇（t）））＇＋λf（u（t））=0,a〈t〈b u（a）=u（b）=0, are establishedunder appropriate hypotheses.