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Positive solutions of elliptic equations with nonlinear boundary conditions

✍ Scribed by Xiuchao Song; Weihua Wang; Peihao Zhao

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 411 KB
Volume: 70
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2007.12.003

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✦ Synopsis

This paper deals with the nonlinear elliptic equationu + u = f (x, u) in a bounded smooth domain Ω ⊂ R N 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.

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