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Naniewicz Z., Panagiotopoulos P.D. — Mathematical Theory of Hemivariational Inequalities and Applications
Naniewicz Z., Panagiotopoulos P.D. — Mathematical Theory of Hemivariational Inequalities and Applications

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Название: Mathematical Theory of Hemivariational Inequalities and Applications

Авторы: Naniewicz Z., Panagiotopoulos P.D.

Аннотация:

This unique reference is the first book of its kind to give a complete and rigorous presentation of the mathematical study of the expressions–hemivariational inequalities–arising in problems that involve nonconvex, nonsmooth energy functions. Establishing a theory of the existence of solutions for inequality problems involving nonconvexity and nonsmoothness, Mathematical Theory of Hemivariational Inequalities and Applications illustrates new mathematical results with examples from mechanics, engineering, and economics examines the structure of functions whose generalized gradient is pseudo-monotone, generalized pseudo-monotone, or quasi-pseudo-monotone introduces a directional growth condition that permits the derivation of new existence results for discontinuous variational problems in nonreflexive vector-valued function spaces describes a model of delamination in which noncoercivity occurs develops efficient, novel methods for the treatment of noncoercive problems provides never-before-published existence results for constrained problems for nonconvex, star-shaped sets and more!


Язык: en

Рубрика: Математика/Оптимизация и управление/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 267

Добавлена в каталог: 23.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$(S)_{+}$ condition      59 230
$max(f_1,...,f_N)$      102
$min(f_1,...,f_N)$      102
$\Gamma$-regularity      10
$\partial$-regular      17
(C) condition      57 104
Adhesive contact      130
Adhesive contact problem      31
Affine hull      1
Ball      3
Biezis — Crandall — Pary approximation procedure      48
Bilateral B.V.P.      40
Bingham’s fluid      141
Caratheodory property      146
Coercive      46 48 121 148
Coercive hemivariational inequality      66
Coercivity      48
Compatibility condition      204 212
Complete nondecieasing curve in $R^2$      20
Concave functional      2
Congugate functional      9 21
Constrained hemivariational inequalities      226
Constrained problem      223
Contigent cone      11
Convex      6
Convex cone      1
Convex function      17
Convex functional      1
Convex hull      1 10
Convex set      1
Convex superpotential      27 28
Coulomb friction      132
Coulomb’s law of friction      29
Delamination density scalar field      193
Delamination problem      220
Directional differential in the sense of Clarke      13
Directional differential in the Sense of Rochafellar      14
Directional growth condition      147
Displacement discontinity      216
Distance function      223
Domain of $\partial f$      4
Domain of multifunction      10
Dual problem      21
Dual space      5
Duality theoiy      10
Effective domain      3
Epigraph      3
Extremality condition      23
Fenchel transformation      9
Finite dimensional problem      67 80
Finite integrability      148
Flow intensity      191
Free boundary problem      193
Friction condition      28
Friction problem      130
Fuzzy adhesive behaviour      36
Fuzzy friction      132
Fuzzy law      35
Gateaux-differentiability      6
Generalized gradient      13 14 18
Generalized gradient of generalized pseudo-monotone type      53
Generalized gradient of pseudo-monotone type      53
Generalized pseudo-monotone multivalued mapping      41ff
Generalized pseudo-monotonicity      41ff
Graph      10
Growth condition      120 148
Hemivariational inequality      26 31 41 65 95 116 119 142 147 168 223
Hemivariational inequality/PM-class      115
Hemivariational inequality/QPM-class      115
Hypertangent      13
Indicator      3 25 41
Lagrange multiplier rule      17 18
Laminated von Karman plates      135
Liminf      4 11
Limsup      4 11
Lipschitz function      13
Local minimum      15
Locally Lipschitz function      13 95
Locking support      132
Lower semicontinuous (l.s.c.)      3
Massonry structures      181
Maximal monotone operator      19 20 27
Maximum-type function      16
Minimization problem      8 23
Minimum problem      18
Minorant      9
Monotone      19
Multidimensional superpotential law      145
Multifunction      10
Multilayered composite structure      194
Multivalued      5
Multivalued operator      10 19
networks      191
Noimality property      22
Noncoercive hemivariational inequality      193 !
Nonconvex Nonsmooth Analysis      10
Nonconvex semipermeability problem      185
Nonconvex superpotential      31 32 35 36
Nonconvex superpotential law      126
Nonconvex yield condition      242
Nonmonotone skin friction      179
Nonsmooth Mechanics      40
Normal cone $N_C(x)$ to C      12
Normal cone of epif      56
Normal cone to K (convex)      6
Normalized duality mapping      48
One-sided diiectional Gateaux-differentiability      6
Onedimensional nonmonotone superpotential      65
Partial delamination      200
Penalty method      226
Perturbed problem      22
Plasticity theory      242
PM(V)      95ff
Polarity transformation      9
Positively homogeneous function      13
Price differential      191
Primal problem      22
Principle of virtual work or power      40
Proper functional      3 21
Pseudo-monotone multivalued mapping      41
Pseudo-monotone operator      41ff
Pseudomonotone operator (singlevalued)      25
QPM(V)      95ff
Quasi generalized pseudo-monotone operator      62 229
Quasi-bounded      51
Quasi-hemivariational inequality      123 125 126
Quasi-pseudo-monotone generalized gradient      61
Quasi-pseudo-monotone operator      59
Quasi-pseudo-monotonicity      41
Rademacher’s Theorem      16
Radon measure      216
Regular set      13
Regularized finite dimensional problem      149
Regularized problem      67 80 238
Relative interior      5
Relaxed directional growth condition      168
Relaxed monotonicity      167
Rigid viscoplastic flow      141
Safe load condition      204 212 220
Safe load condition (G)      244
Semicoercive case      23
Semicoercive hemivariational inequality      73
Set-valued mapping      10
Signorini boundary condition      28 132 246
Star-shaped sets      223
Strongly monotone operator      161 234
Strongly quasi-bounded      51
Structural analysis      133
Subdifferential      4
Subdifferential Bf      20
Subdifferential law      27
Subgradient      4 6
Substationality      16
Substationality of the energy      77
Supporting hyperlane      5
Tangent cone      11
Tangent cone $T_C(x)$ to C      12
Transpose operator      8
Unilateral B.V.P.      40
Unilateral variations      40
Upper semicontinuous (u.s.c.)      3
Variational inequality      5 19 23 25 31
Variational inequality with nonconvex domain      237
Variational-hemivariational inequality      34 80 121 122 123 133 178
Weak topology      5
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