Some remarks about the -Dirichlet integral
Mariano Giaquinta; Giuseppe Modica; Jiří Souček
Commentationes Mathematicae Universitatis Carolinae (1994)
- Volume: 35, Issue: 1, page 55-62
- ISSN: 0010-2628
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topGiaquinta, Mariano, Modica, Giuseppe, and Souček, Jiří. "Some remarks about the $p$-Dirichlet integral." Commentationes Mathematicae Universitatis Carolinae 35.1 (1994): 55-62. <http://eudml.org/doc/247642>.
@article{Giaquinta1994,
abstract = {We discuss variational problems for the $p$-Dirichlet integral, $p$ non integer, for maps between manifolds, illustrating the role played by the geometry of the target manifold in their weak formulation.},
author = {Giaquinta, Mariano, Modica, Giuseppe, Souček, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {variational problems; $p$–Dirichlet integral; concentrations; -Dirichlet integral; compact Riemannian manifolds; variational problem; Sobolev spaces},
language = {eng},
number = {1},
pages = {55-62},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some remarks about the $p$-Dirichlet integral},
url = {http://eudml.org/doc/247642},
volume = {35},
year = {1994},
}
TY - JOUR
AU - Giaquinta, Mariano
AU - Modica, Giuseppe
AU - Souček, Jiří
TI - Some remarks about the $p$-Dirichlet integral
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 1
SP - 55
EP - 62
AB - We discuss variational problems for the $p$-Dirichlet integral, $p$ non integer, for maps between manifolds, illustrating the role played by the geometry of the target manifold in their weak formulation.
LA - eng
KW - variational problems; $p$–Dirichlet integral; concentrations; -Dirichlet integral; compact Riemannian manifolds; variational problem; Sobolev spaces
UR - http://eudml.org/doc/247642
ER -
References
top- Bethuel F., The approximation problem for Sobolev maps between two manifolds, Acta Math. 167 (1992), 153-206. (1992) MR1120602
- Bethuel F., Coron J., Demengel F., Helein F., A cohomological criterion for density of smooth maps in Sobolev spaces between two manifolds, C.R.A.S., 1990. Zbl0735.46017
- Brezis H., Coron J., Lieb E., Harmonic maps with defects, Comm. Math. Phys. 107 (1986), 649-705. (1986) Zbl0608.58016MR0868739
- Giaquinta M., Modica G., Souček J., Calculus of Variations and Cartesian Currents, in preparation.
- Giaquinta M., Modica G., Souček J., Cartesian currents and variational problems for mappings into spheres, Ann. Sc. Norm. Sup. Pisa 16 (1989), 393-485. (1989) MR1050333
- Giaquinta M., Modica G., Souček J., Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity, Arch. Rat. Mech. Anal. 106 (1989), 97-159 Erratum and addendum Arch. Rat. Mech. Anal. 109 (1990, 385-392). (1990, 385-392) MR0980756
- Giaquinta M., Modica G., Souček J., The Dirichlet energy of mappings with values into the sphere, Manuscripta Math. 65 (1989), 489-507. (1989) MR1019705
- Giaquinta M., Modica G., Souček J., The Dirichlet integral for mappings between manifolds: Cartesian currents and homology, Math. Ann. 294 (1992), 325-386. (1992) MR1183409
- Giaquinta M., Modica G., Souček J., The gap phenomenon for variational integrals in Sobolev spaces, Proc. Roy. Soc. Edinburg 120 (1992), 93-98. (1992) MR1149986
- Hardt R., Lin F., A remark on mappings, Manuscripta Math. 56 (1986), p. 1010. (1986) MR0846982
- Malý J., -approximation of Jacobians, Comment. Math. Univ. Carolinae 32 (1991), 659-666. (1991) MR1159812
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