On regularity of the extremal solution of the dirichlet problem for some semilinear elliptic equations of the second order

Houston Journal of Mathematics

Volumn 31, Issue 3, 2005, Pages 957-960

  Eidelman, S ^a   Eidelman, Y ^b  

^a International Solomon University   (Ukraine)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

Positive solutions; Regularity of extremal solutions; Semilinear elliptic equations

Indexed keywords

EID: 26244448304     PISSN: 03621588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

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4. D. Joseph, T. Lundgren, Quasilinear Dirichlet problems driven by positive sources, Arch. Rational Mech. Anal. 49: 241-269 (1972/73).
5. F. Mignot, J.-P. Fuel, Sur une classe de problems non lineaires avec non linearite positive, croissante, convexe, Commun. Partial Differ. Eq. 5: 791-836 (1980).
6. G. Nedev, Regularity of the extremal solution of semilinear elliptic equations, C.R. Acad. Sci. Paris t.330, Serie 1: 997-1002 (2000).