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Elliptic Partial Differential Equations of Second Order
Sobolev Spaces
other
Author(s):
David Gilbarg
,
Neil S. Trudinger
Publication date
(Print):
2001
Publisher:
Springer Berlin Heidelberg
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Book Chapter
Publication date (Print):
2001
Pages
: 144-176
DOI:
10.1007/978-3-642-61798-0_7
SO-VID:
95b1971d-0cdf-4f95-9feb-ef19b23cc555
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Book chapters
pp. 1
Introduction
pp. 13
Laplace’s Equation
pp. 31
The Classical Maximum Principle
pp. 51
Poisson’s Equation and the Newtonian Potential
pp. 73
Banach and Hilbert Spaces
pp. 87
Classical Solutions; the Schauder Approach
pp. 144
Sobolev Spaces
pp. 177
Generalized Solutions and Regularity
pp. 219
Strong Solutions
pp. 259
Maximum and Comparison Principles
pp. 279
Topological Fixed Point Theorems and Their Application
pp. 294
Equations in Two Variables
pp. 319
Hölder Estimates for the Gradient
pp. 333
Boundary Gradient Estimates
pp. 359
Global and Interior Gradient Bounds
pp. 388
Equations of Mean Curvature Type
pp. 441
Fully Nonlinear Equations
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