Elliptic Partial Differential Equations of Second Order
Gilbarg, D.
Elliptic Partial Differential Equations of Second Order - 2da - Springer-Verlag, 1996 - 513 páginas
1.Linear equations. 2.Laplace’s equation. 3.The classical maximum principle. 4.Poisson’s equations and the Newtonian potential. 5.Banach and Hilbert spaces. 6.Classical solutions: the Schauder approach. 7.Sobolev spaces. 8.Generalized solution and regularity. 9. Strong solutions. 10.Maximum and comparison principles. 11.Topological fixed point theorems and their application. 12.Equations in two variables. 13.Holder estimates for the gradient. 14.Boundary gradient estimates. 15.Global and interior gradient bounds. 16.Equations of mean curvature type. 17.Fully nonlinear equations.
fcnm2688
515.353I/G45
Elliptic Partial Differential Equations of Second Order - 2da - Springer-Verlag, 1996 - 513 páginas
1.Linear equations. 2.Laplace’s equation. 3.The classical maximum principle. 4.Poisson’s equations and the Newtonian potential. 5.Banach and Hilbert spaces. 6.Classical solutions: the Schauder approach. 7.Sobolev spaces. 8.Generalized solution and regularity. 9. Strong solutions. 10.Maximum and comparison principles. 11.Topological fixed point theorems and their application. 12.Equations in two variables. 13.Holder estimates for the gradient. 14.Boundary gradient estimates. 15.Global and interior gradient bounds. 16.Equations of mean curvature type. 17.Fully nonlinear equations.
fcnm2688
515.353I/G45