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Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations With Rough Coefficients

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Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations With Rough Coefficients Synopsis

"We obtain local boundedness and maximum principles for weak subsolutions to certain infinitely degenerate elliptic divergence form inhomogeneous equations, and also continuity of weak solutions to homogeneous equations. For example, we consider the family {f[sigma]}[sigma]>0 with f[sigma] (x) = e -( 1 [pipe]x[pipe] ) [sigma] , -[infinity]

About This Edition

ISBN: 9781470444013
Publication date:
Author: Lyudmila Korobenko, Cristian Rios, E T Sawyer, Ruipeng Shen
Publisher: American Mathematical Society
Format: Paperback
Pagination: 130 pages
Series: Memoirs of the American Mathematical Society
Genres: Differential calculus and equations