Existence and regularity for a minimum problem with free boundary.

H.W. Alt; L.A. Caffarelli

Journal für die reine und angewandte Mathematik (1981)

  • Volume: 325, page 105-144
  • ISSN: 0075-4102; 1435-5345/e

How to cite

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Alt, H.W., and Caffarelli, L.A.. "Existence and regularity for a minimum problem with free boundary.." Journal für die reine und angewandte Mathematik 325 (1981): 105-144. <http://eudml.org/doc/152360>.

@article{Alt1981,
author = {Alt, H.W., Caffarelli, L.A.},
journal = {Journal für die reine und angewandte Mathematik},
keywords = {minimum problem; harmonic function; free boundary conditions; two dimensional flow problems; heat flow problems; non-degeneracy of the solution; regularity; subharmonic function; regularity theory for minimal surfaces; existense; obstacle problems},
pages = {105-144},
title = {Existence and regularity for a minimum problem with free boundary.},
url = {http://eudml.org/doc/152360},
volume = {325},
year = {1981},
}

TY - JOUR
AU - Alt, H.W.
AU - Caffarelli, L.A.
TI - Existence and regularity for a minimum problem with free boundary.
JO - Journal für die reine und angewandte Mathematik
PY - 1981
VL - 325
SP - 105
EP - 144
KW - minimum problem; harmonic function; free boundary conditions; two dimensional flow problems; heat flow problems; non-degeneracy of the solution; regularity; subharmonic function; regularity theory for minimal surfaces; existense; obstacle problems
UR - http://eudml.org/doc/152360
ER -

Citations in EuDML Documents

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  1. Raul B. Gonzalez de Paz, On the optimal design of elastic shafts
  2. N. E. Aguilera, L. A. Caffarelli, J. Spruck, An optimization problem in heat conduction
  3. Ana Cristina Barroso, José Matias, On a volume constrained variational problem in SBV 2 ( Ω ) : part I
  4. Gian Paolo Leonardi, Γ -convergence of constrained Dirichlet functionals
  5. Timo Tiihonen, Shape optimization and trial methods for free boundary problems
  6. Tanguy Briancon, Regularity of optimal shapes for the Dirichlet’s energy with volume constraint
  7. Giuseppe Buttazzo, Augusto Gerolin, Berardo Ruffini, Bozhidar Velichkov, Optimal potentials for Schrödinger operators
  8. Tanguy Briançon, Jimmy Lamboley, Regularity of the optimal shape for the first eigenvalue of the laplacian with volume and inclusion constraints
  9. C. Lederman, A free boundary problem with a volume penalization
  10. Luis A. Caffarelli, A Harnack inequality approach to the regularity of free boundaries. Part III : existence theory, compactness, and dependence on X

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