Coercivity properties for monotone functionals


For a monotone functional defined only on a closed convex cone in a quasi-ordered Banach space it is shown that a version of Palais–Smale condition adapted to the quasi-order structure implies a conical coercivity property. The conical asymptotic behavior of monotone functionals is also studied.

DOI Code: 10.1285/i15900932v21n1p83

Keywords: Quasi-order; Variational principle; Convex cone; Monotone functional; Directional derivative; Coercivity; Palais-Smale condition

Classification: 54E40; 49J40

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