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The boundary growth of superharmonic functions and positive solutions of nonlinear elliptic equations

✍ Scribed by Kentaro Hirata


Publisher
Springer
Year
2007
Tongue
English
Weight
274 KB
Volume
340
Category
Article
ISSN
0025-5831

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Positive solutions of elliptic equations
✍ Xiuchao Song; Weihua Wang; Peihao Zhao πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 411 KB

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