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A fourth order elliptic equation with nonlinear boundary conditions

✍ Scribed by Julián Fernández Bonder; Julio D. Rossi


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
112 KB
Volume
49
Category
Article
ISSN
0362-546X

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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.