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Nonlinear elliptic systems with certain unbounded coefficients
Author(s) -
Smith P. D.,
Stredulinsky E. W.
Publication year - 1984
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160370407
Subject(s) - mathematics , nonlinear system , flow (mathematics) , mathematical analysis , hölder condition , calculus (dental) , geometry , physics , quantum mechanics , medicine , dentistry
We consider nonlinear systems of the formUnder suitable assumptions, Hölder continuity of weak solutions is proven in a neighborhood of the origin using weighted inequalities and a partial regularity method of M. Giaquinta and E. Giusti. These equations relate to an exterior flow problem in physics.