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Elliptic Partial Differential Equations of Second Order
other
Author(s):
David Gilbarg
,
Neil S. Trudinger
Publication date
(Print):
1983
Publisher:
Springer Berlin Heidelberg
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Related collections
Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
Author and book information
Book
ISBN (Print):
978-3-540-41160-4
ISBN (Electronic):
978-3-642-61798-0
Publication date (Print):
1983
DOI:
10.1007/978-3-642-61798-0
SO-VID:
c55acc9e-be12-4203-9869-fb2eba31919d
License:
http://www.springer.com/tdm
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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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