One-dimensional prescribed mean curvature equation with exponential nonlinearity | |
Pan, Hongjing | |
2009 | |
关键词 | Gelfand problem Prescribed mean curvature equation Exponential nonlinearity Time map Bifurcation POSITIVE SOLUTIONS PERIODIC-SOLUTIONS OPERATORS BIFURCATION |
英文摘要 | We establish the existence and multiplicity results for the one-dimensional prescribed mean curvature equation - (u'/root 1 + (u')(2))' = lambda e(u), u(0) = 0, u(L) = 0. In particular, we characterize the precise dependence of the multiplicity of solutions with respect to both the length L of the interval and the value of the parameter lambda. (C) 2008 Elsevier Ltd. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); EI; 38; ARTICLE; 2; 999-1010; 70 |
语种 | 英语 |
出处 | EI ; SCI |
出版者 | nonlinear analysis theory methods applications |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157743] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Pan, Hongjing. One-dimensional prescribed mean curvature equation with exponential nonlinearity. 2009-01-01. |
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