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Steady state solutions of a logistic equation with nonlinear boundary conditions

✍ Scribed by Cantrell, Robert S.; Cosner, Chris; Martínez, Salomé


Book ID
125990119
Publisher
Rocky Mountain Mathematics Consortium
Year
2011
Tongue
English
Weight
264 KB
Volume
41
Category
Article
ISSN
0035-7596

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Positive solutions of elliptic equations
✍ Xiuchao Song; Weihua Wang; Peihao Zhao 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 411 KB

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.