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Positive solutions of some semilinear elliptic equations in with Neumann boundary conditions

✍ Scribed by Weimin Wang; Li Hong

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
206 KB
Volume
66
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we consider positive classical solutions of

h(s) is locally bounded in (0, ∞) and h(s)s -(1+ 2 ν ) is non-decreasing in (0, ∞) for the same ν. We get that the possible solution only depends on t, and several corollaries that include previous results of various authors are established.

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.