Dian K. Palagachev & Peter R. Popivanov
Abstract:
Classical solvability and uniqueness in the Holder space
is proved for the oblique derivative problem
in the case when the vector field
is tangential to the boundary
at the points of some
non-empty set
,
and the nonlinear term
grows quadratically with respect to the gradient
.
Submitted October 28, 1996. Published January 8, 1997.
Math Subject Classification: 35J65, 35R25.
Key Words: Quasilinear elliptic operator, degenerate oblique derivative
problem, sub-elliptic estimates.
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Dian K. Palagachev Department of Mathematics Technological University of Sofia 8 Kl. Okhridski blvd., 1756 Sofia, Bulgaria. email: dian@bgcict.acad.bg dian@pascal.dm.uniba.it | |
Peter R. Popivanov Institute of Mathematics, Bulgarian Academy of Sciences G. Bonchev str., bl. 8, 1113 Sofia, Bulgaria e-mail: popivano@bgearn.acad.bg |
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