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Existence of a positive solution of a general quasilinear elliptic equation with a nonlinear boundary condition of mixed type

✍ Scribed by Ray Michalek

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
548 KB
Volume
15
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Positive solutions of elliptic equations
Positive solutions of elliptic equations with nonlinear boundary conditions
✍ 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.