Lagrange multipliers for functions derivable along directions in a linear subspace

DOI10.1090/S0002-9939-04-07711-1zbMath1055.58006MaRDI QIDQ4825653

Duong Minh Duc, Pham Xuan Du, Le Hai An, Phan Van Tuoc

Publication date: 28 October 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Lagrange multipliersvariational inequalitiesLax-Milgram theoremquasilinear elliptic eigenvalue problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Boundary value problems for second-order elliptic equations (35J25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items (5)

Lagrange multipliers theorem and saddle point optimality criteria in mathematical programming ⋮ Nonlinear versions of Stampacchia and Lax-Milgram theorems and applications to \(p\)-Laplace equations ⋮ Generalizations of the Lax-Milgram theorem ⋮ Existence of Solutions of a Class of Nonlinear Singular Equations in Lorentz Spaces ⋮ Morse–Palais lemma for nonsmooth functionals on normed spaces

Cites Work

• Unnamed Item
• A non-homogeneous \(p\)-Laplace equation in border case.
• Quasilinear elliptic eigenvalue problems
• The Lax-Milgram theorem for Banach spaces. I
• Some remarks on critical point theory for nondifferentiable functionals
• Critical points for multiple integrals of the calculus of variations
• Nonlinear Singular Elliptic Equations
• Minimization Problems for Noncoercive Functionals Subject to Constraints
• Critical points for some functionals of the calculus of variations

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