A sensitivity analysis of a class of semi-coercive variational inequalities using recession tools

The theory of variational inequalities, with its wide range of applications in engineering, economics, finance, industy and mechanics, has become a well-established and fruitful area of research. After the fundamental work of Lions & Stampacchia [15], this theory have been studied intensively. With the contributions of Brézis [8], [9], Duvaut Lions [11], Browder [10], Kinderlehrer & Stampacchia [14], Panagiotopoulos [17], Goeleven Motreanu [13] (among others), this field has known an increasing growth in both theory and applications. Several books and articles have documented the basic theory, the numerical approach and applications in applied science as well. This theory was used as a tool for the study of partial differential equations with applications essentially drawn from mechanics (Signorini problem, obstacle problems in elasticity, etc).