Boundary Regularity for Some Nonlinear Elliptic Degenerate Equations.
Abstract
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1979
- Accession Number
- ADA077132
Entities
People
- Haiem Brezis
- Pierre-louis Lions
Organizations
- University of Wisconsin–Madison