一类四阶p-Laplace方程正解的存在性及多解性

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Existence and Multiplicity of Positive Solutions for a Fourth-Order p-Laplace Equations

Department of Applied Mathematics, Petroleum University(East China), Dongying, Shandong 257061, P. R. China

摘要: 讨论了如下形式一维四阶p-Laplace方程的可解性(g(u"))"+λa(t)f(u)=0 0p-2v,p>1.用锥拉伸与锥压缩不动点定理,根据非线性项f在0及无穷远处的不同增长情况,获得了一些正解的存在性及多解性结果.
- p-Laplacian /
- 正解 /
- 锥
Abstract: The solvability of one-dimensional fourth-order p-Laplace equations of the type (g(u"))"+λa(t)f(u)=0 0p-2v,p>1 is investigated. With cone compression/extension theorem, some existence and multiplicity results of positive solution have been required according to different growth condition of nonlinear form f at zero and at infinity.
- p-Laplacian /
- positive solution /
- cone

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