Advances in Differential Equations

Minimization problems for noncoercive functionals subject to constraints. II.

Vy Khoi Le and Klaus Schmitt

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The paper establishes several minimization theorems for noncoercive functionals defined on a Hilbert (or reflexive Banach) space which are subject to constraints. Applications to critical point theory and variational inequalities are given. The results are also applied to obtain the existence of solutions of several nonlinear boundary and unilateral problems.

Article information

Adv. Differential Equations, Volume 1, Number 3 (1996), 453-498.

First available in Project Euclid: 25 April 2013

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Zentralblatt MATH identifier

Primary: 35J15: Second-order elliptic equations 35J85 49J40: Variational methods including variational inequalities [See also 47J20] 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)


Le, Vy Khoi; Schmitt, Klaus. Minimization problems for noncoercive functionals subject to constraints. II. Adv. Differential Equations 1 (1996), no. 3, 453--498.

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