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Archive for Rational Mechanics and Analysis

Volumn 101, Issue 3, 1988, Pages 209-260

The effect of a singular perturbation on nonconvex variational problems

(1) Sternberg, Peter a

a STANFORD UNIVERSITY (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34250095380 PISSN: 00039527 EISSN: 14320673 Source Type: Journal
DOI: 10.1007/BF00253122 Document Type: Article

Times cited : (352)

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- Do Carmo, M.: Differential Geometry of Curves and Surfaces, Prentice-Hall, (1976).

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- Federer, H.: Geometric Measure Theory, Springer-Verlag, (1969).

10
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- Gilbarg, D. & Trudinger, N. S.: Elliptic Partial Differential Equations of Second Order, Springer-Verlag, (1977).

11
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- Giusti, E.: Minimal Surfaces and Functions of Bounded Variation, Birkhäuser, (1984).

12
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- On the Regularity of Boundaries of Sets Minimizing Perimeter with a Volume Constraint
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13
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- Gurtin, M. E.: On a Theory of Phase Transitions with Interfacial Energy, Arch. Rational Mech. Anal., 87, (1984).

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- Gurtin, M. E.: Some Results and Conjectures in the Gradient Theory of Phase Transitions, I.M.A., University of Minn., preprint no. 156, (1985).

15
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- Gurtin, M. E., & Matano, H.: On the Structure of Equilibrium Phase Transitions within the Gradient Theory of Fluids, Quarterly of App. Math., forthcoming.

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- Hermann, R.: Differential Geometry and the Calculus of Variations, Academic Press, (1968).

17
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- Perturbed Elliptic Problems and Essential Nonlinearities
- (1983) Comm. Partial Diff. Eqns. , vol.8 , pp. 847-874
- Howe, F.¹

18
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- Kohn, R. V., & Sternberg, P.: Local Minimizers and Singular Perturbations, to appear.

19
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- Distance to C^kHypersurfaces
- (1981) J. Diff. Eqns. , vol.40 , Issue.1 , pp. 116-120
- Krantz, S.¹ Parks, H.²

20
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- Gradient Theory of Phase Transitions and Minimal Interface Criterion
- (1987) Arch. Rational Mech. Anal. , vol.98 , Issue.2 , pp. 123
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21
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23
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24
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- Nonlinear Aspects of the Cahn-Hilliard Equation
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- Novick-Cohen, A.¹ Segel, L.A.²

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