Advances in Differential Equations

Minimization problems for noncoercive functionals subject to constraints. II.

Vy Khoi Le and Klaus Schmitt

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Abstract

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

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

Dates
First available in Project Euclid: 25 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1366896047

Mathematical Reviews number (MathSciNet)
MR1401402

Zentralblatt MATH identifier
1020.35025

Subjects
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.)

Citation

Le, Vy Khoi; Schmitt, Klaus. Minimization problems for noncoercive functionals subject to constraints. II. Adv. Differential Equations 1 (1996), no. 3, 453--498. https://projecteuclid.org/euclid.ade/1366896047


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