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Mappings with Integrable Dilatation in Higher Dimensions
Author(s):
Juan
J.
Manfredi;
Enrique
Villamor
Journal:
Bull. Amer. Math. Soc.
32
(1995),
235-240.
MSC (1991):
Primary 30C65, 35J70
MathSciNet review:
1313107
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References |
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Additional information
References:
- [B1]
- Ball, J.M., Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63 (1977), 337--403. MR 475169
- [B2]
- _____, Global invertibility of Sobolev functions and the interpenetration of matter, Proc. Roy. Soc. Edinburgh Sect. A 88 (1981), 315--328. MR 616782
- [BI]
- Bojarski, B. V. and Iwaniec, T., Analytic foundations of the theory of quasiconformal mappings in $\Bbb R^n$, Ann. Acad. Sci. Fenn. Ser. A I Math. 8 (1983), 257--324. MR 731786
- [DS]
- Donaldson, S. and Sullivan, D., Quasiconformal $4$-manifolds, Acta Math. 163 (1989), 181--252. MR 1032074
- [HK]
- Heinonen J. and Koskela, P., Sobolev mappings with integrable dilatation, Arch. Rational Mech. Anal. 125 (1993), 81--97. MR 1241287
- [IS]
- Iwaniec, T. and Sverák, V., On mappings with integrable dilatation, Proc. Amer. Math. Soc. 118 (1993), 181--188. MR 1160301
- [M]
- Manfredi, J., Weakly monotone functions, J. Geom. Anal. 4(2), 1994. MR 1294334
- [MV]
- Manfredi, J. and Villamor, E., Mappings with integrable dilatation in higher dimensions, preprint. MR 1313107
- [MTY]
- Müller, S., Tang, Q. and Yan, B. S, On a new class of elastic deformations not allowing for cavitation, Ann. Inst. H. Poincaré, Non Linéaire 11 (1994), 217--243. MR 1267368
- [R]
- Re\v{s}hetnyak, J., Space mappings with bounded distortion, Sibirisk. Mat. Zh. 8 (1967), 629--658. MR 215990
- [S]
- Sverák, V., Regularity properties of deformations with finite energy, Arch. Rational Mech. Anal. 100 (1988), 105--127. MR 913960
- [TY]
- Titus, C. J. and Young, G. S., The extension of interiority with some applications, Trans. Amer. Math. Soc. 103 (1962), 329--340. MR 137103
- [VG]
- Vodop'yanov, S. K. and Goldstein, V. M., Quasiconformal mappings and spaces of functions with generalized first derivatives, Siberian Math. J. 17 (1977), 515--531.
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Additional Information:
DOI:
10.1090/S0273-0979-1995-00583-5
PII:
S 0273-0979(1995)00583-5
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