More on applications and extensions of \(P\)-coercive variational inequalities 3 (Q1376637)

This paper consists of two parts. Part 1 is devoted to applications of \(P\)-coercive variational inequalities of quasilinear elliptic problems. In Part 2, the concept of \(P\)-coerciveness is extended to the case of Banach spaces, a sufficient condition for existence is given for variational inequalities involving \(P\)-coercive nonlinear operators in Banach spaces, and applications to quasilinear equations are presented in a Banach space setting.