Weak uniqueness and partial regularity for the composite membrane problem

Chanillo, Sagun, and Kenig, Carlos E.. "Weak uniqueness and partial regularity for the composite membrane problem." Journal of the European Mathematical Society 010.3 (2008): 705-737. <http://eudml.org/doc/277453>.

@article{Chanillo2008,
abstract = {We study the composite membrane problem in all dimensions. We prove that the minimizing solutions exhibit a weak uniqueness property which under certain conditions can be turned into a full uniqueness result. Next we study the partial regularity of the solutions to the Euler–Lagrange equation associated to the composite problem and also the regularity of the free boundary for solutions to the Euler–Lagrange equations.},
author = {Chanillo, Sagun, Kenig, Carlos E.},
journal = {Journal of the European Mathematical Society},
keywords = {free boundary; partial regularity; monotonicity formula; composite membrane; uniqueness; Free boundary; partial regularity; monotonicity formula; composite membrane; uniqueness},
language = {eng},
number = {3},
pages = {705-737},
publisher = {European Mathematical Society Publishing House},
title = {Weak uniqueness and partial regularity for the composite membrane problem},
url = {http://eudml.org/doc/277453},
volume = {010},
year = {2008},
}

TY - JOUR
AU - Chanillo, Sagun
AU - Kenig, Carlos E.
TI - Weak uniqueness and partial regularity for the composite membrane problem
JO - Journal of the European Mathematical Society
PY - 2008
PB - European Mathematical Society Publishing House
VL - 010
IS - 3
SP - 705
EP - 737
AB - We study the composite membrane problem in all dimensions. We prove that the minimizing solutions exhibit a weak uniqueness property which under certain conditions can be turned into a full uniqueness result. Next we study the partial regularity of the solutions to the Euler–Lagrange equation associated to the composite problem and also the regularity of the free boundary for solutions to the Euler–Lagrange equations.
LA - eng
KW - free boundary; partial regularity; monotonicity formula; composite membrane; uniqueness; Free boundary; partial regularity; monotonicity formula; composite membrane; uniqueness
UR - http://eudml.org/doc/277453
ER -