By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.

利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。

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This paper discusses the existence of multiple positive solutions of a class of nonlinear singular boundary value problems by means of the fixed point index Theorem on cones.

利用锥映射的不动点指数定理，研究了一类非线性奇异边值问题多个正解的存在性问题。

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According to the critical point theory, a class of problems of elliptic boundary value with an asymptotically linear term and singular term is studied.

利用临界点理论，研究了一类含有渐近线性项和奇异项的半线性椭圆方程的边值问题。

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