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On positive solutions of the heat equation satisfying a nonlinear boundary condition

✍ Scribed by V. A. Kondrat’ev


Book ID
110158795
Publisher
Springer
Year
2010
Tongue
English
Weight
357 KB
Volume
46
Category
Article
ISSN
0012-2661

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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.