The multi-layer free boundary problem for the p-Laplacian in convex domains

• The main result of this paper concerns existence of classical solutions to the multi-layer Bernoulli free boundary problem with nonlinear joining conditions and the p-Laplacian as governing operator. The present treatment of the two-layer case involves technical refinements of the one-layer case, studied earlier by two of the authors. The existence treatment of the multi-layer case is largely based on a reduction to the two-layer case, in which uniform separation of the free boundaries plays a key role.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

classical-solutions

elliptic-equations

successive approximation

joining conditions

existence

regularity

operator

points

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)