Variational formulations of nonlinear constrained boundary value problems

DOI10.1016/j.na.2009.11.011zbMath1187.35057OpenAlexW1970421777MaRDI QIDQ845000

Gonzalo Alduncin

Publication date: 5 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.11.011

zbMATH Keywords

variational formulationscomposition duality methodsconstrained nonlinear boundary value problemsmixed variational inclusions

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for elliptic systems (35J50) Boundary value problems for second-order elliptic systems (35J57)

Related Items (13)

Macro-hybrid dual optimal control of transport flow through elastoviscoplastic porous media ⋮ Optimality condition analysis of macro-hybrid mixed variational inclusions ⋮ Variational interior and interface transmission conditions: multidomain mixed Darcy/Stokes control problems ⋮ Optimal control of elastoviscoplastic macro-hybrid mixed variational problems ⋮ Control nonlinear diffusion macro-hybrid mixed variational problems ⋮ Proximal penalty-duality algorithms for mixed optimality conditions ⋮ Composition duality methods for quasistatic evolution elastoviscoplastic variational problems ⋮ Multidomain optimal control of variational subpotential mixed evolution inclusions ⋮ Optimal control of evolution mixed variational inclusions ⋮ Dual evolution mixed variational analysis of multiphase flow in the subsurface ⋮ Multidomain mixed variational analysis of transport flow through elastoviscoplastic porous media ⋮ Optimal Control of Nonlinear Transport-Flow Mixed Variational Problems ⋮ Macro‐hybrid mixed variational two‐phase flow through fractured porous media

Cites Work

• Composition duality principles for mixed variational inequalities
• Composition duality methods for mixed variational inclusions
• Subdifferential and variational formulations of boundary value problems
• A new class of completely generalized quasi-variational inclusions in Banach spaces
• Macro-Hybrid Variational Formulations of Constrained Boundary Value Problems
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