Geodesic
Global Positive Solutions of Semilinear Elliptic Equations
Canadian journal of mathematics, Tome 35 (1983) no. 5, pp. 839-861

Voir la notice de l'article provenant de la source Cambridge University Press

The semilinear elliptic boundary value problem 1.1 will be considered in an exterior domain Ω ⊂ R n , n ≥ 2, with boundary ∂Ω ∊ C 2 + α , 0 < α < 1, where 1.2 D i = ∂/∂x i , i = 1, ..., n. The coefficients aij , bi in (1.2) are assumed to be real-valued functions defined in Ω ∪ ∂Ω such that each , , and (aij (x)) is uniformly positive definite in every bounded domain in Ω. The Hölder exponent α is understood to be fixed throughout, 0 < α < 1 . The regularity hypotheses on f and g are stated as H 1 near the beginning of Section 2. 
Noussair, Ezzat S.; Swanson, Charles A. Global Positive Solutions of Semilinear Elliptic Equations. Canadian journal of mathematics, Tome 35 (1983) no. 5, pp. 839-861. doi: 10.4153/CJM-1983-048-4
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