TY - BOOK AU - Gilbarg,David AU - Trudinger,Neil S. TI - Elliptic partial differential equations of second order / T2 - Classics in mathematics SN - 34540411607 U1 - 515.353 PY - 2001/// CY - Berlin ; New York : PB - Springer , KW - Ecuaciones diferenciales KW - Ecuaciones diferenciales elípticas N1 - Incluye índice; Referencias bibliográficas : páginas [491]-509; 1. Introduction. -- 2. Laplace's equation. -- 3. The classical maximum principle. -- 4. Poisson's equation and the Newtonian potential. -- 5. Banach and Hilbert spaces. -- 6. Classical solutions ; the schauder approach. -- 7. Sobolev spaces. -- 8. Generalized solutions and regularity. -- 9. Strong solutions. -- 10. Maximum and comparison principles. -- 11. Topological fixed point theorems and their application. -- 12. Equations in two variables. -- 13. Hölder estimates for the gradient. -- 14. Boundary gradient estimates. -- 15. Global and interior gradient bounds. -- 16. Equations of mean curvature type. -- 17. Fully nonlinear equations.; Título original :; vol. 224 of the grundlehren der mathematischen Wissenschaften UR - http://www.bib.ufro.cl/applications/ppi/files/table-of-contents/a37728.pdf ER -