Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems

Chao Nien Chen, Shyuh Yaur Tzeng

研究成果: Article

4 引文 斯高帕斯(Scopus)

摘要

When using calculus of variations to study nonlinear elliptic boundary-value problems on unbounded domains, the Palais-Smale condition is not always satisfied. To overcome this difficulty, we analyze Palais-Smale sequences, and use their convergence to justify the existence of critical points for a functional. We show the existence of positive solutions using a minimax method and comparison arguments for semilinear elliptic equations.

原文English
頁(從 - 到)1-29
頁數29
期刊Electronic Journal of Differential Equations
1999
出版狀態Published - 1999 五月 14

    指紋

All Science Journal Classification (ASJC) codes

  • Analysis

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