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In Memoriam | ||
Preface | ||
Contributors | ||
Pt. I | Geometric Methods in Nonlinear Elliptic Partial Differential Equations and Applied Problems | |
1 | Geometric Inequalities and Estimates of Solutions for Nonlinear Euler-Lagrange Equations and Applied Problems | 3 |
2 | Qualitative Behavior of Solutions to a System of Partial Differential Equations from Nonlinear Elasticity | 53 |
3 | Asymptotic Approximations to the Fundamental Solutions of Differential Equations on Manifolds | 69 |
4 | Harmonic Maps with Nontrivial Higher-Dimensional Singularities | 79 |
5 | Elliptic Systems for a Medium with Microstructure | 91 |
6 | Asymptotic Behavior of Positive Decreasing Solutions of y" = F(t, y, y') | 105 |
7 | Uniqueness of Capillary Surfaces in Wedges and Cones | 129 |
8 | A Neumann Evolution Problem for Plastic Antiplanar Shear | 139 |
Pt. II | Convex Bodies and Related Topics | |
9 | Axiomatic Convex Potential Theory | 149 |
10 | Area-Reducing Flows | 181 |
11 | Double Normals Characterize Bodies of Constant Width in Riemannian Manifolds | 187 |
12 | Quasi-time Functions in Lorentzian Geometry | 203 |
13 | The Weyl Problem for Surfaces of Nonnegative Curvature | 213 |
14 | Singularities and the Conformal Scalar Curvature Equation | 221 |
Pt. III | Surveys Devoted to Geometric Inequalities and Convex Bodies | |
15 | Geometric Inequalities and Existence Theorems for Convex Generalized Solutions of n-Dimensional Monge-Ampere Equations | 237 |
16 | The Isoperimetric Problem for Two-Dimensional Convex Surfaces | 289 |
Pt. IV | Problems | |
17 | Open Problems in the Geometry of Equilibrium Configurations | 307 |
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