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Schauder estimates and existence theory for entire solutions of linear elliptic equations
Published online by Cambridge University Press: 14 November 2011
Synopsis
Existence as well as uniqueness theorems under certain growth conditions are given for entire solutions to linear elliptic equations in the n-dimensional space (2≦n). Introducing a proper norm, the proofs are based on a priori estimates. These estimates could be used to solve nonlinear equationsin the space, but the conditions on the nonlinearity have to be strong as the a priori estimates applyonly to classical, not to weak, solutions.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 1-2 , 1988 , pp. 101 - 123
- Copyright
- Copyright © Royal Society of Edinburgh 1988
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