在比（AR）条件更弱的一类超线性条件之下，利用变分方法讨论了一类超线性四阶椭圆方程的无穷多解的存在性。
By means of the variational approach, in a condition weaker than(AR) the existence of infinitely many solutions of fourth-order elliptic equation is discussed.
文章主要建立了四类四阶半线性椭圆型方程解的极大值原理，并得到了相应边值问题的解的唯一性定理。
In this paper, the maximum principles for solutions of four classes of semi-linear ellipic equations are established.
通过极小化作用原理和极小极大方法得到了一类四阶非线性椭圆方程解的存在性和多重性。
The existence and multiplicity results are obtained for a class of fourth-order nonlinear elliptic equations by the least action principle and the minimax methods, respectively.
文章主要建立了四类四阶半线性椭圆型方程解的极大值原理，并得到了相应边值问题的解的唯一性定理。
The result that the blow-up set of the problem is a compact subset was proved by the reflective principle and the maximum principle, and the blow-up rate of the solutions was obtained.
文章主要建立了四类四阶半线性椭圆型方程解的极大值原理，并得到了相应边值问题的解的唯一性定理。
The result that the blow-up set of the problem is a compact subset was proved by the reflective principle and the maximum principle, and the blow-up rate of the solutions was obtained.
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