Article ID Journal Published Year Pages File Type
843481 Nonlinear Analysis: Theory, Methods & Applications 2009 7 Pages PDF
Abstract

This paper deals with the nonlinear elliptic equation −Δu+u=f(x,u) in a bounded smooth domain Ω⊂RNΩ⊂RN with a nonlinear boundary value condition. The existence results are obtained by the sub–supersolution method and the Mountain Pass Lemma. And nonexistence is also considered.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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