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Two sequences of solutions for indefinite superlinear-sublinear elliptic equations with nonlinear boundary conditions

✍ Scribed by Kajikiya, Ryuji; Naimen, Daisuke

Book ID
125839423
Publisher
American Institute of Mathematical Sciences
Year
2014
Tongue
English
Weight
431 KB
Volume
13
Category
Article
ISSN
1534-0392

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Positive solutions of elliptic equations
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✍ 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.