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Zbl 0506.35038
de Figueiredo, Djairo Guedes
Positive solutions of semilinear elliptic problems.
(English)
[A] Differential equations, Proc., Sao Paulo 1981, Lect. Notes Math. 957, 34-87 (1982).

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MSC 2000:
*35J65 (Nonlinear) BVP for (non)linear elliptic equations
35A05 General existence and uniqueness theorems (PDE)
35B50 Maximum principles (PDE)
35P30 Nonlinear eigenvalue problems for PD operators

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

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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