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- Title
带 带 有特殊非线性项的 Dirichlet 问题 正解的确切个数.
- Authors
姚燕燕; 徐 晶; 高红亮
- Abstract
By using the principle of time maps, we study the exact multiplicity and bifurcation diagrams of positive solutions of Dirichlet problem for a prescried mean curvature equation in the one-dimensional Minkowski space: {-(u'/√1-u'²)' = λf (u), x ∈ (-L,L), u(-L)=0=u(L) where λ>0 and L>0 are parameters.We obtain the results that the above problem has no positive solution, exactly one positive solution and exactly two positive solutions when the nonlinear terms f(u) = u(eu-1) and f(u) = eu -1, respectively.
- Subjects
MINKOWSKI space; DIRICHLET problem; BIFURCATION diagrams; CURVATURE; MULTIPLICITY (Mathematics); EQUATIONS
- Publication
Journal of Jilin University (Science Edition) / Jilin Daxue Xuebao (Lixue Ban), 2021, Vol 59, Issue 5, p1015
- ISSN
1671-5489
- Publication type
Article
- DOI
10.13413/j.cnki.jdxblxb.2021061