Regularity of the extremal solution of semilinear elliptic equations;Régularité de la solution extrémale d'équations elliptiques semi-linéaires

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 330, Issue 11, 2000, Pages 997-1002

  Nedev, Gueorgui ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034196168     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)00289-5     Document Type: Article

References (9)

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4. [4] Cabré X., Chanillo S., Stable solutions of semilinear elliptic problems in convex domains, Selecta Math. (N.S.) 4 (1998) 1-10.
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6. [6] Joseph D., Lundgren T., Quasilinear Dirichlet problems driven by positive sources, Arch. Rational Mech. Anal. 49 (1972/73)241-269.
7. [7] Keener J., Keller H., Positive solutions of convex nonlinear eigenvalue problems, J. Differ. Eq. 16 (1974) 103-125.
8. [8] Martel Y., Uniqueness of weak extremal solutions of nonlinear elliptic problems, Houston J. Math. 23 (1997) 161-168.
9. [9] Mignot F., Puel J.-P., Sur une classe de problèmes non linéaires avec non linéarité positive, croissante, convexe, Commun. Partial Differ. Eq. 5 (1980) 791-836.