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.
|頁（從 - 到）||1-29|
|期刊||Electronic Journal of Differential Equations|
|出版狀態||Published - 1999 五月 14|
All Science Journal Classification (ASJC) codes