Title of article :
THE N-MEMBRANES PROBLEM
Author/Authors :
LINDGREN, E. Royal Institute of Technology - Department of Mathematics, Sweden , RAZANI, A. imam khomeini international university - Faculty of Science - Department of Mathematics, قزوين, ايران
Abstract :
Here, we study the N-membranes problem for the Lapla cian.We prove the optimal growth of the consecutive differences ui - Ui+l and that the free boundaries ә{ Uj, 1Ui+1} have zero Lebesgue measure, under some assumptions on the functions f ,that appear in the right hand side.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
