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[206] The approximation problem for Sobolev maps between two manifolds

Fabrice Bethuel ENPC, CERMA, Noisy-Le-Grand, France

TBD mathscidoc:1701.331752

Acta Mathematica, 167, (1), 153-206, 1990.4

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Romanovskiĭ N N. SOBOLEV SPACES ON AN ARBITRARY METRIC MEASURE SPACE: COMPACTNESS OF EMBEDDINGS[J]. Siberian Mathematical Journal, 2013, 54(2): 353-367.

Bourgain J, Brezis H, Mironescu P, et al. Lifting in Sobolev spaces[J]. Journal D Analyse Mathematique, 2000, 80(1): 37-86.

Heinonen J, Koskela P, Shanmugalingam N, et al. Sobolev classes of Banach space-valued functions and quasiconformal mappings[J]. Journal D Analyse Mathematique, 2012, 85(1): 87-139.

Brezis H. Degree Theory: Old and New[C]., 1997: 87-108.

Haim Brezis · Petru Mironescu. Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces. 2012.

Hang F, Lin F. Topology of sobolev mappings, II[J]. Acta Mathematica, 2003, 191(1): 55-107.

Lin F, Riviere T. Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents[J]. Journal of the European Mathematical Society, 1999, 1(3): 237-311.

Lin F, Yang Y. Existence of Energy Minimizers as Stable Knotted Solitons in the Faddeev Model[J]. Communications in Mathematical Physics, 2004, 249(2): 273-303.

Pakzad M R. On the Sobolev Space of Isometric Immersions[J]. Journal of Differential Geometry, 2004, 66(1): 47-69.

Struwe M. The Yang-Mills flow in four dimensions[J]. Calculus of Variations and Partial Differential Equations, 1994, 2(2): 123-150.

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[207] Spaces with non-positive curvature

Herbert Busemann Los Angeles, Cal.

TBD mathscidoc:1701.33976

Acta Mathematica, 80, (1), 259-310, 1948.12

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Fay T H. Convex functions[J]. Mathematics and Computer Education, 1998.

Ballmann W, Brin M. Lectures on spaces of nonpositive curvature[C]., 1995.

Reich S, Shafrir I. Nonexpansive iterations in hyperbolic spaces[J]. Nonlinear Analysis-theory Methods \u0026 Applications, 1990, 15(6): 537-558.

Ballmann W, Brin M. Orbihedra of nonpositive curvature[J]. Publications Mathématiques de l\u0027IHÉS, 1995, 82(1): 169-209.

Herbert Busemann. The geometry of Finsler spaces. 1950.

Auslander L, Markus L. HOLONOMY OF FLAT AFFINELY CONNECTED MANIFOLDS[J]. Annals of Mathematics, 2016, 62(1).

Green L. Surfaces without conjugate points[J]. Transactions of the American Mathematical Society, 1954, 76(3): 529-546.

Thomas Foertsch · Alexander Lytchak · Viktor Schroeder. Non-positive curvature and the Ptolemy inequality. 2007.

Khamsi M A, Khan A R. Inequalities in metric spaces with applications[J]. Nonlinear Analysis-theory Methods \u0026 Applications, 2011, 74(12): 4036-4045.

Auslander L. On curvature in Finsler geometry[J]. Transactions of the American Mathematical Society, 1955, 79(2): 378-388.

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[208] On certain discontinuities connected with periodic orbits

S. S. Hough Cape Town

TBD mathscidoc:1701.33366

Acta Mathematica, 24, (1), 257-288, 1901.12

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Hans Happel. ?ber die L?sungen beim Dreik?rperproblem in der N?he der Librationszentra. 1911.

Craig Stephenson. George Darwin's lectures on Hill's lunar theory. 2009.

Hans Happel. ber die Lsungen beim Dreikrperproblem in der Nhe der Librationszentra. 1911.

Alfred Klose. Über ausgezeichnete Energiewerte in mechanischen Systemen. 1923.

R J Pocock. XIV.On the action of a disturbing force in the restricted problem of three bodies. 1914.

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[209] A new iterative method in Waring's problem

R. C. Vaughan Imperial College, London, England

TBD mathscidoc:1701.331717

Acta Mathematica, 162, (1), 1-71, 1987.6

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Granville A. Smooth numbers: computational number theory and beyond[C]., 2008: 267-323.

Vaughan R C, Wooley T D. Further improvements in Waring\u0027s problem[J]. Acta Mathematica, 1995, 174(2): 147-240.

Wooley T D. Breaking classical convexity in Waring\u0027s problem: Sums of cubes and quasi-diagonal behaviour[J]. Inventiones Mathematicae, 1995, 122(3): 421-451.

Fouvry E, Tenenbaum G. ENTIERS SANS GRAND FACTEUR PREMIER EN PROGRESSIONS ARITHMETIQUES[J]. Proceedings of The London Mathematical Society, 1991: 449-494.

R C Vaughan · Trevor D Wooley. Waring's problem: A survey. 2002.

Brudern J, Cook R J. On simultaneous diagonal equations and inequalities[J]. Acta Arithmetica, 1992, 62(2): 125-149.

Wooley T D. Some Remarks on Vinogradov\u0027s Mean Value Theorem and Tarry\u0027s Problem[J]. Monatshefte für Mathematik, 1996, 122(3): 265-273.

Vaughan R C, Wooley T D. Further improvements in Waring\u0027s problem, IV: Higher powers[J]. Acta Arithmetica, 2000, 94(3): 203-285.

Wooley T D. Sums of three cubes[J]. Mathematika, 2000: 53-61.

Brudern J, Wooley T D. ON WARING\u0027S PROBLEM FOR CUBES AND SMOOTH WEYL SUMS[J]. Proceedings of The London Mathematical Society, 2001, 82(1): 89-109.

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[210] Polynomially and rationally convex sets

Gabriel Stolzenberg Harvard University, Cambridge, Mass., U.S.A.

TBD mathscidoc:1701.331246

Acta Mathematica, 109, (1), 259-289, 1962.10

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Stolzenberg G. Uniform approximation on smooth curves[J]. Acta Mathematica, 1966, 115(1): 185-198.

Sadullaev A. Plurisubharmonic measures and capacities on complex manifolds[J]. Russian Mathematical Surveys, 1981, 36(4): 61-119.

G M Khenkin · E M Chirka. Boundary properties of holomorphic functions of several complex variables. 1976.

Franc Forstneric · Jeanpierre Rosay. Approximation of biholomorphic mappings by automorphisms of C n. 1993.

Forstneric F. Interpolation by holomorphic automorphisms and embeddings in Cn[J]. Journal of Geometric Analysis, 1999, 9(1): 93-117.

Andreotti A, Narasimhan R. Oka’s Heftungslemma and the Levi problem for complex spaces[J]. Transactions of the American Mathematical Society, 1964, 111(2): 345-366.

Kaup W, Zaitsev D. On symmetric Cauchy-Riemann manifolds[J]. Advances in Mathematics, 1999, 149(2): 145-181.

Varolin D. THE DENSITY PROPERTY FOR COMPLEX MANIFOLDS AND GEOMETRIC STRUCTURES II[J]. International Journal of Mathematics, 2012, 11(06): 837-847.

Drinovecdrnovsek B, Forstneric F. Holomorphic curves in complex spaces[J]. Duke Mathematical Journal, 2006, 139(2): 203-253.

Batty C J. Asymptotic behaviour of semigroups of operators[C]., 1994, 30(1): 35-52.

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TBD

[206] The approximation problem for Sobolev maps between two manifolds

Fabrice Bethuel ENPC, CERMA, Noisy-Le-Grand, France

TBD mathscidoc:1701.331752

[207] Spaces with non-positive curvature

Herbert Busemann Los Angeles, Cal.

TBD mathscidoc:1701.33976

[208] On certain discontinuities connected with periodic orbits

S. S. Hough Cape Town

TBD mathscidoc:1701.33366

[209] A new iterative method in Waring's problem

R. C. Vaughan Imperial College, London, England

TBD mathscidoc:1701.331717

[210] Polynomially and rationally convex sets

Gabriel Stolzenberg Harvard University, Cambridge, Mass., U.S.A.

TBD mathscidoc:1701.331246

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