Author | Gilbarg, David. author |
---|---|
Title | Elliptic Partial Differential Equations of Second Order [electronic resource] / by David Gilbarg, Neil S. Trudinger |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2001 |
Connect to | http://dx.doi.org/10.1007/978-3-642-61798-0 |
Descript | XIII, 518 p. online resource |
1. Introduction -- I. Linear Equations -- 2. Laplaceโs Equation -- 3. The Classical Maximum Principle -- 4. Poissonโs Equation and the Newtonian Potential -- 5. Banach and Hubert Spaces -- 6. Classical Solutions; the Schauder Approach -- 7. Sobolev Spaces -- 8. Generalized Solutions and Regularity -- 9. Strong Solutions -- II. Quasilinear Equations -- 10. Maximum and Comparison Principles -- 11. Topological Fixed Point Theorems and Their Application -- 12. Equations in Two Variables -- 13. Hรถlder Estimates for the Gradient -- 14. Boundary Gradient Estimates -- 15. Global and Interior Gradient Bounds -- 16. Equations of Mean Curvature Type -- 17. Fully Nonlinear Equations -- Epilogue -- Notation Index