Hölder continuity of solutions of some degenerate elliptic differential equations
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چکیده
منابع مشابه
Continuity Properties of Solutions to Some Degenerate Elliptic Equations
We consider a nonlinear (possibly) degenerate elliptic operator Lv = − div a(∇v) + b(x, v) where the functions a and b are, unnecessarly strictly, monotonic. For a given boundary datum φ we prove the existence of the maximum and the minimum of the solutions and formulate a Haar-Rado type result, namely a continuity property for these solutions that may follow from the continuity of φ. In the ho...
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Correspondence should be addressed to Albo Carlos Cavalheiro, [email protected] Received 17 May 2011; Revised 6 October 2011; Accepted 6 October 2011 Academic Editor: Toka Diagana Copyright q 2011 Albo Carlos Cavalheiro. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2000
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700018888