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Book Review
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Book Information
Author(s):
Michael Struwe
Title:
Variational methods (Applications to nonlinear
PDE and Hamiltonian
systems)
Additional book information:
Springer-Verlag, New York, 1990, 244 pp., US$39.50. ISBN 3-540-52022-8.
References:
- [A1]
- S. I. Al\cprime ber, On $n$-dimensional problems in the calculus of variations in the large, Soviet Math. Dokl. \textbf{5} (1964), 700--704.
- [A2]
- S. I. Al\cprime ber, Spaces of mappings into a manifold with negative curvature, Soviet Math. Dokl. \textbf{9} (1967), 6--9.
- [B]
- V. Bangert, Geod\"atische Linien auf Riemannschen Mannigfaltigkeiten, Jber. DMV \textbf{87} (1985), 39--66.
- [C]
- Ph. Ciarlet, Mathematical elasticity, {\rm vol.} \RM {I:} Three-dimensional elasticity, North-Holland, Amsterdam, 1988.
- [CDY]
- K. C. Chang, W. Y. Ding, and R. Ye, Finite-time blow-up of the heat flow of harmonic maps from surfaces.
- [D]
- B. Dacorogna, Direct methods in the calculus of variations, Springer-Verlag, New York, 1989.
- [ES]
- J. Eells and J. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. \textbf{86} (1986), 109--160.
- [GG]
- M. Giaquinta and E. Giusti, On the regularity of the minima of variational integrals, Acta Math. \textbf{148} (1982), 31--46.
- [J]
- J. Jost, Two-dimensional geometric variational problems, Wiley-Interscience, Chichester, 1991.
- [K]
- W. Klingenberg, Lectures on closed geodesics, Springer-Verlag, New York, 1978.
- [L]
- L. Lemaire, Applications harmoniques de surfaces riemanniennes, J. Differential Geom. \textbf{13} (1978), 51--78.
- [SaU]
- J. Sacks and K. Uhlenbeck, On the existence of minimal immersions of \RM 2-spheres, Ann. of Math. (2) \textbf{113} (1981), 1--24.
- [S]
- R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom. \textbf{20} (1984), 479--495.
- [SU]
- R. Schoen and K. Uhlenbeck, A regularity theory for harmonic maps, J. Differential Geom. \textbf{17} (1982), 307--335.
- [Sy]
- R. Schoen and S. T. Yau, Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature, Ann. of Math. (2) \textbf{110} (1979), 127--142.
- [St]
- M. Struwe, Plateau's problem and the calculus of variations, Princeton Univ. Press, Princeton, NJ, 1989.
- [W]
- H. Wente, Large solutions to the volume constrained Plateau problem, Arch. Rational Mech. Anal. \textbf{75} (1980), 59--77.
- [Z]
- E. Zeidler, Nonlinear functional analysis and its applications, \RM {vol.} \RM {IV:} Applications to mathematical physics, Springer-Verlag, New York, 1988.
Additional Information:
Reviewer(s):
J\"urgen
Jost
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
149-153.
DOI:
10.1090/S0273-0979-1993-00339-2
PII:
S 0273-0979(1993)00339-2
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