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Minimization problems for noncoercive functionals subject to constraints. II. (English) Zbl 1020.35025

This is a continuation of Part I [Trans. Am. Math. Soc. 347, 4485-4513 (1995; Zbl 0849.35040)] concentrating on the Hilbert case. The existence of Landesman-Lazer type is proved for semilinear elliptic equations and noncoercive semilinear variational inequalities. Applications to critical point theory are also given.

MSC:

35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
49J40 Variational inequalities

Citations:

Zbl 0849.35040
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