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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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