de Figueiredo, Djairo Guedes Positive solutions of semilinear elliptic problems. (English) Zbl 0506.35038 Differential equations, Proc., Sao Paulo 1981, Lect. Notes Math. 957, 34-87 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 61 Documents MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35B50 Maximum principles in context of PDEs 35P30 Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs Keywords:positive solutions; semilinear elliptic problems; Dirichlet problem; linear eigenvalue problem with an indefinite weight; theorem of Krein- Rutman type; sublinear problems; method of monotone iterations; existence; uniqueness; fixed point index; differentiable mappings in a cone; asymptotically linear nonlinearities; survey Citations:Zbl 0484.00007 PDFBibTeX XML