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| Sperb R.P. — Mathematics in Science and Engineering. Volume 157. Maximum principles and their applications |
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| Предметный указатель |
Autoparallel, curve 59
Blow-up time 160
Capacity, electrostatic 212
Capillary surface 4 121
Capillary surface, tube 122
Charge density 212 213
Christoffel symbols 50 52
Curvature 44
Curvature, Gaussian 49
Curvature, geodesic 48
Curvature, mean 49
Curvature, normal 48
Curvature, scalar 56
Curvature, tensor 55
Derivative, covariant 51
Derivative, generalized, covariant 60
Derivative, intrinsic 59
Diffusion, coefficient 5
Diffusion, tensor 6
Efficiency ratio 92
Eigenvalue problem, fixed membrane 5
Eigenvalue problem, fixed membrane on a manifold 206
Eigenvalue problem, free membrane 9
Eigenvalue problem, nonlinear 4 85
Elliptic equations in divergence form 107
Elliptic equations, quasilinear 40
Elliptic equations, semilinear 25
Elliptic operator 16
Elliptic systems 182
Frenet formulas 44
Fundamental form, second 48
Fundamental form, tensor, second 48
Gauss, formulas of 60
Gaussian curvature 49
Geodesic, differential equation of 50
Green's function 210
Hoelder, continuous 2
Hoelder, exponent 2
| Identity of Rellich 30
Identity of Ricci 55
Inequality of Alexandrow 193
Inequality of Faber & Krahn 9
Inequality of Friedrichs 8
Inequality, isoperimetric, classical 9
Inequality, isoperimetric, classical of Poincare 213
Inequality, isoperimetric, classical of Saint-Venant 194
Interior sphere property 17
Laplace — Beltrami operator 126
Level surface coordinates 189
Lipschitz continuous 27
Maximum Principle, of E. Hopf 17
Maximum Principle, one-dimensional weak 12
Maximum Principle, one-dimensional, strong 13
Maximum stress 85
Meniscus problem 121
Metric tensor 46
Parabolic systems 184
Poisson problem 2 144
Rayleigh's principle 96
Ricci, curvature 56
Ricci, identity 55
Ricci, tensor 55
Ricci, theorem of 53
Robin boundary condition 82 90
Stekloff Problem 96
Stekloff Problem, eigenvalue 96
Sub-solution 26
Super-solution 27
Surface of constant mean curvature 3 191 201
Theorema egregium of Gauss 49
Torsion problem 3 85
Torsion problem on a manifold 133 192 204
Torsional, creep 116
Torsional, rigidity 3 86
Torsional, stiffness 118
Weingarten formulas 49
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