On fully nonlinear elliptic equations of second order
L. Nirenberg (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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L. Nirenberg (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Nicolai V. Krylov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ragoub, L., Tchier, F. (2005)
Portugaliae Mathematica. Nova Série
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Nečas, J.
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Nguyen Phuong Các (1976)
Annales de l'institut Fourier
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We study the solvability of the Dirichlet problem for a linear elliptic operator of the second order in which the coefficients of the first order derivatives become infinite on a portion of the boundary. The study makes use of Schauder’s estimates and suitably constructed barriers.
N. Kutev (1987)
Banach Center Publications
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Mikhail Borsuk (1998)
Annales Polonici Mathematici
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We consider generalized solutions to the Dirichlet problem for linear elliptic second order equations in a domain bounded by a Dini-Lyapunov surface and containing a conical point. For such solutions we derive Dini estimates for the first order generalized derivatives.