论文信息 - Existence Theorems of Hartman–Stampacchia Type for Hemivariational Inequalities and Applications

Existence Theorems of Hartman–Stampacchia Type for Hemivariational Inequalities and Applications

We give some versions of theorems of Hartman-Stampacchia's type for the case of Hemivariational Inequalities on compact or on closed and convex subsets in infinite and finite dimensional Banach spaces. Several problems from Nonsmooth Mechanics are solved with these abstract results.

[1] P. D. Panagiotopoulos,et al. Mathematical Theory of Hemivariational Inequalities and Applications , 1994 .

[2] H. H. Schaefer,et al. Topological Vector Spaces , 1967 .

[3] William Prager,et al. Flow in networks with amplification and coupling , 1966, Unternehmensforschung.

[4] P. Panagiotopoulos. Inequality Problems in Mechanics and Applications: Convex and Nonconvex Energy Functions , 1985 .

[5] R. Holmes. Geometric Functional Analysis and Its Applications , 1975 .

[6] Otared Kavian,et al. Introduction à la théorie des points critiques : et applications aux problèmes elliptiques , 1993 .

[7] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .

[8] G. Stampacchia,et al. On some non-linear elliptic differential-functional equations , 1966 .

[9] D. Kinderlehrer,et al. An introduction to variational inequalities and their applications , 1980 .

[10] D. Pascali,et al. Nonlinear mappings of monotone type , 1979 .

[11] W. Prager. Problems of network flow , 1965 .