Bipotentials for non-monotone multivalued operators: fundamental results and applications
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Publication:970492
DOI10.1007/s10440-009-9488-3zbMath1217.49019arXiv0804.1863OpenAlexW3100989751MaRDI QIDQ970492
Claude Vallee, Marius G. Buliga, Gery De Saxce
Publication date: 19 May 2010
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.1863
Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Convexity of real functions of several variables, generalizations (26B25)
Related Items (15)
Two-field variational formulations for a class of nonlinear mechanical models ⋮ A class of non-associated materials: \(n\)-monotone materials -- Hooke's law of elasticity revisited ⋮ Modelling contact with isotropic and anisotropic friction by the bipotential approach ⋮ A bipotential-based limit analysis and homogenization of ductile porous materials with non-associated Drucker-Prager matrix ⋮ Weak solvability via bipotential method for contact models with nonmonotone boundary conditions ⋮ Weak solvability via bipotentials and approximation results for a class of bilateral frictional contact problems ⋮ Weak solutions for contact models involving a class of generalized materials ⋮ Weak solutions via bipotentials in mechanics of deformable solids ⋮ Variational formulation and structural stability of monotone equations ⋮ Weak solvability via bipotentials for contact problems with power-law friction ⋮ A variational formulation for constitutive laws described by bipotentials ⋮ A variational approach via bipotentials for a class of frictional contact problems ⋮ A variational approach via bipotentials for unilateral contact problems ⋮ BLURRED MAXIMAL CYCLICALLY MONOTONE SETS AND BIPOTENTIALS ⋮ New variational principles for solving extended Dirichlet-Neumann problems
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