## 留言板

 引用本文: 郭友中. 固体力学的不等式问题[J]. 应用数学和力学, 1989, 10(1): 1-21.
Guo You-zhong. The Problem of Inequality in Solid Mechanics[J]. Applied Mathematics and Mechanics, 1989, 10(1): 1-21.
 Citation: Guo You-zhong. The Problem of Inequality in Solid Mechanics[J]. Applied Mathematics and Mechanics, 1989, 10(1): 1-21.

## The Problem of Inequality in Solid Mechanics

• 摘要: 本文全面讨论了固体力学中的不等式问题,内容包括变分原理与变分不等式中平稳型的和发展型的,确定性的和随机性的一些问题的主要概念、方法和结果.
•  [1] Stampacchia,G.,Formes bilinéaires coercitives sur les ensembles convexes,C.R.Acad Sc.Paris,258(1964),4413-4416. [2] Lions,J.L.and G.Stampacchia,Variational inequalities,Comm.Pure Appl.Math.,20(1967),490-519. [3] Lions,J.L.,关于变分不辛式及其应用约若干问题(郭友中泽),数学进展,12,2(1983),1-29. [4] Kinderlehrer,D.and G.Stampacchia,《变分不等式及其应用引论》(郭友中等译),科学出版社. [5] Pascali,D.and S.Sburian,Nonlinear Mappings of Monotone Type,Editura Academiei(1978). [6] Dinca;,G.,Operatori Monotonic in Teoria Plasticitatii,Editura Academiei(1972). [7] Lions,J.L.and E.Magenes,Non-Homogeneous Boundary Value Problems and Applications,Springer-Verlag(1972). [8] Lions,J.L.,Optimal Control of Systems Governed by Partial Differential Equations,Springer-Verlag(1971). [9] Bensoussen,A.and J.L.Lions,Applications of Variational Inequalities in Stochastic Control,North-Holland Pub.Comp.(1982). [10] Duvaut,G.and J.L.Lions,Inequalities in Mechanics and Physics,Springer-Verlag(1976). [11] Lions,J.L.,Perturbations Singulieres dans les Problems aux Limites et en Controle Optimal,Springer-Verlag(1973). [12] 郊友中,弹性理论中的互补变分原理,科学通报,29,10(1984),1291-1302. [13] Rockafellar,R.T.,Convex Analysis,Princeton Univ.Press(1970). [14] Panagiotopoulos,P.D.,Subdifferentials and optimal control in unilateral elasticity,Mech.Res.Comm.,3(1976),91-96. [15] 郭友中,星域上的变分不等式,科学通报,4,1(1984),117-118. [16] Lax,P.D.and A.N.Milgram,Parabolic equations,Ann.of Math.Studies,33(1954),167-190. [17] Brezis,H.and G.Stampacchia,Sur les régularitéde la solution dinequations elliptiques,Bull.Soc.Math.France,96,1(1968),153-180. [18] Brezis,H.,Problems unileraux,J.Math.Pares Appl.,51(1972),1-168. [19] Hünlich,R.and J.Naumann,On general boundary value problems and duality in linear elasticity,Ⅰ,Ⅱ,Appl.Matematiky,23(1978),208-229;25(1980),11-32. [20] Ciarlet,P.G.,A justification of the von Kármán equations,Arch.Rat.Mech.Ann.,73(1980),349-389. [21] 郭友中,Variational inequality in micro-elasto-visco-plasticity,Proceedings of ICNM(1985). [22] Schatzman,M.,Le systeme differentiel ∂2u/∂t2+∂φ(u)=f avec conditions initiales,C.R.Acad.Sc.Paris,284A(1972),603-606. [23] Lions,J.L.,《偏微分方程的边界问题》(李大潜译)上海科学技术出版社(1980). [24] Ciarlet,P.G.,《有限元法的数值分析》(蒋尔雄等译),上海科学技术出版社(1980). [25] Mosco,U.,《变分不等式近似解引论》(王烈衡等译),上海科学技术出版社(1985).

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##### 出版历程
• 收稿日期:  1987-10-25
• 刊出日期:  1989-01-15

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