Using the method that will be introduced in Theorem 1.2, we prove the existence of weak solutions.

利用定理1．2介绍过的方法，我们用粘性消去的方法证明了其弱解的存在性。

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The aim of this thesis is to study the existence of weak solutions for semilinear second order elliptic boundary value problems under suitable conditions through topological and variational methods.

本文主要利用拓扑度理论中的不动点定理和变分方法中的极小作用原理及其环绕形式的临界点定理在适当的条件下讨论了一类二阶椭圆边值问题的可解性。

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This paper discusses the existence of a class of singular elliptic boundary value problems. Under certain conditions, we prove that weak solutions exist.

讨论了一类具有奇异性的椭圆问题解的存在性。证明了在一定条件下，弱解存在。

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