Geodesic
Extremal Positive Solutions of Semilinear Schrödinger Equations
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 171-178

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

Necessary and sufficient conditions are proved for the existence of maximal and minimal positive solutions of the semilinear differential equation Δu = -ƒ(x, u) in exterior domains of Euclidean n-space. The hypotheses are that ƒ(x, u) is nonnegative and Hölder continuous in both variables, and bounded above and below by ugi(| x |, u), i = 1, 2, respectively, where each gi(r, u) is monotone in u for each r > 0.
DOI : 10.4153/CMB-1983-028-3
Mots-clés : Primary: 35B05, Secondary: 35J60 
Swanson, C. A. Extremal Positive Solutions of Semilinear Schrödinger Equations. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 171-178. doi: 10.4153/CMB-1983-028-3
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