Boundary regularity for some nonlinear elliptic degenerate equations. Technical summary report
Technical Report
·
OSTI ID:5177939
Special solutions of the Yang-Mills field equations of theoretical physics may be obtained by solving a boundary value problem for a nonlinear elliptic equation in a two dimensional half space. This equation degenerates at the boundary of the region and this degeneracy makes it a delicate matter to study how the solutions behave near the boundary. In this work it is proved that the weak solutions previously known to exist are in fact smooth up to the boundary.
- Research Organization:
- Wisconsin Univ., Madison (USA). Mathematics Research Center
- DOE Contract Number:
- DAAG29-75-C-0024
- OSTI ID:
- 5177939
- Report Number(s):
- AD-A-077132
- Country of Publication:
- United States
- Language:
- English
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