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。

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

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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。

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.

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讨论了带变号扰动并且具有一定附加条件的临界椭圆方程的两个正解存在性。

This paper deals with the existence of two positive solutions for critical elliptic equations with a changed sign perturbation and with an auxiliary condition.

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