A problem of minimization with relaxed energy

Rejeb Hadiji; Feng Zhou

Annales de la Faculté des sciences de Toulouse : Mathématiques (1995)

  • Volume: 4, Issue: 3, page 579-591
  • ISSN: 0240-2963

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Hadiji, Rejeb, and Zhou, Feng. "A problem of minimization with relaxed energy." Annales de la Faculté des sciences de Toulouse : Mathématiques 4.3 (1995): 579-591. <http://eudml.org/doc/73359>.

@article{Hadiji1995,
author = {Hadiji, Rejeb, Zhou, Feng},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {relaxed energy; minimization; minimizing sequence},
language = {eng},
number = {3},
pages = {579-591},
publisher = {UNIVERSITE PAUL SABATIER},
title = {A problem of minimization with relaxed energy},
url = {http://eudml.org/doc/73359},
volume = {4},
year = {1995},
}

TY - JOUR
AU - Hadiji, Rejeb
AU - Zhou, Feng
TI - A problem of minimization with relaxed energy
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1995
PB - UNIVERSITE PAUL SABATIER
VL - 4
IS - 3
SP - 579
EP - 591
LA - eng
KW - relaxed energy; minimization; minimizing sequence
UR - http://eudml.org/doc/73359
ER -

References

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  2. [BB] Bethuel ( F.) and Brezis ( H.) .— Minimisation de ∫ |∇(u - x/|x|)|2 et divers phénomènes de gapC.R. Acad. Sci.Paris310 (1990), pp. 859-864. Zbl0717.49005MR1060601
  3. [BBC] Bethuel ( F.) Brezis ( H.) and Coron ( J.-M.) .— Relaxed energies for harmonic maps in variational problems, ed. by H. Berestycki, J.-M. Coron and I. Ekeland, Birkhauser (1990). Zbl0793.58011MR1205144
  4. [BZ] Bethuel ( F.) and Zheng ( X.) .— Density of smooth functions between two manifolds in Sobolev spaces, J. Func. Anal.80 (1988), pp. 60-75. Zbl0657.46027MR960223
  5. [BC] Brezis ( H.) and Coron ( J.-M.) .— Large solutions for harmonic maps in two dimensions, Comm. Math. Phys.92 (1983), pp. 203-215. Zbl0532.58006MR728866
  6. [BCL] Brezis ( H.) Coron ( J.-M.) and Lieb ( H.), .— Harmonic maps with defects, Comm. Math. Phys.107 (1986), pp. 649-705. Zbl0608.58016MR868739
  7. [M] Morrey ( C.B.) . — The problem of Plateau on a Riemannian manifold, Ann. of Math.47 (1948), pp. 807-851. Zbl0033.39601MR27137
  8. [R] Rivière ( T.) . — Construction of a dipole, preprint. 
  9. [SU1] Schoen ( R.) and Uhlenbeck ( K.) . — A regularity theory for harmonic maps, J. Diff. Geom.17 (1982), pp. 307-335. Zbl0521.58021MR664498
  10. [SU2] Schoen ( R.) and Uhlenbeck ( K.) . — Boundary regularity and the Dirichlet problem for harmonic maps, J. Diff. Geom.18 (1983), pp. 253-268. Zbl0547.58020MR710054

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