About: Methods involving semicontinuity and convergence; relaxation

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Attributs	Valeurs
type	Concept
skos:inScheme	MSC 2010
broader concept	Existence theories
skos:prefLabel	涉及半连续性与收敛性问题的方法; 松弛 Metodi coinvolgenti semicontinuitÃ¡ e convergenza; rilassamento Methods involving semicontinuity and convergence; relaxation
skos:exactMatch	http://msc2010.org/resources/MSC/2000/49J45
skos:closeMatch	from MSC1991 value of: Problems involving semicontinuity and convergence
skos:notation	49J45
is Subject of	On the quasiconvex exposed points A saddle-point approach to the Monge-Kantorovich optimal transport problem Weak notions of Jacobian determinant and relaxation Stability of microstructure for tetragonal to monoclinic martensitic transformations 3D-2D Asymptotic Analysis for Micromagnetic Thin Films On a Volume Constrained Variational Problem in SBV²(Ω): Part I Some remarks on existence results for optimal boundary control problems Evolutionary problems in non-reflexive spaces Necessary conditions for weak lower semicontinuity on domains with infinite measure Quasiconvex relaxation of multidimensional control problems with integrands f( t, ξ, v) Partial regularity of minimizers of higher order integrals with ( p, q)-growth A strongly nonlinear problem arising in glaciology Discrete approximation of the Mumford-Shah functional in dimension two On the Numerical Modeling of Deformations of Pressurized Martensitic Thin Films Topology and geometry of nontrivial rank-one convex hulls for two-by-two matrices Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands How to state necessary optimality conditions for control problems with deviating arguments? Relaxation of free-discontinuity energies with obstacles A remark on the compactness for the Cahn-Hilliard functional Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity A variational model in image processing with focal points A compactness result for a second-order variational discrete model Homogenization of variational problems in manifold valued Sobolev spaces On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity Non-local approximation of free-discontinuity problems with linear growth A relaxation result for energies defined on pairs set-function and applications Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings Two dimensional optimal transportation problem for a distance cost with a convex constraint Relaxation in BV of integrals with superlinear growth A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies A BV functional and its relaxation for joint motion estimation and image sequence recovery Quasiconvexity at the boundary and concentration effects generated by gradients Asymptotics of an optimal compliance-location problem Γ-convergence of functionals on divergence-free fields Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case Optimal transport with Coulomb cost. Approximation and duality Optimal pits and optimal transportation Quasiconvex functions can be approximated by quasiconvex polynomials Long-term planning versus short-term planning in the asymptotical location problem Variational approximation of a functional of Mumford-Shah type in codimension higher than one Globally stable quasistatic evolution for a coupled elastoplastic-damage model A relaxation result in BV for integral functionals with discontinuous integrands Ground states in complex bodies Γ-limits of convolution functionals Boundary effects and weak ⋆ lower semicontinuity for signed integral functionals on BV Characterization of gradient young measures generated by homeomorphisms in the plane A generalized dual maximizer for the Monge-Kantorovich transport problem On an optimal shape design problem in conduction Some new existence, sensitivity and stability results for the nonlinear complementarity problem Lower semicontinuity in BV of quasiconvex integrals with subquadratic growth Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional Global minimizers for axisymmetric multiphase membranes Equi-integrability results for 3D-2D dimension reduction problems New convexity conditions in the calculus of variations and compensated compactness theory On the lower semicontinuous quasiconvex envelope for unbounded integrands (I) Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy Two-scale homogenization for a model in strain gradient plasticity A general Hamilton-Jacobi framework for non-linear state-constrained control problems From an adhesive to a brittle delamination model in thermo-visco-elasticity Phase Field Model for Multi-Material Shape Optimization of Inextensible Rods Perfect plasticity versus damage: an unstable interaction between irreversibility and Γ-convergence through variational evolutions Γ-limit of the cut functional on dense graph sequences On the Plateau-Douglas problem for the Willmore energy of surfaces with planar boundary curves A hierarchy of multilayered plate models Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations Discrete-to-continuum limits of planar disclinations An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams Necessary optimality condition for the minimal time crisis relaxing transverse condition via regularization Gamma-convergence results for nematic elastomer bilayers: relaxation and actuation The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds Variational problems concerning sub-Finsler metrics in Carnot groups Convergence rates for energies of interacting particles whose distribution spreads out as their number increases Lower semicontinuity in GSBD for nonautonomous surface integrals Vanishing viscosity in mean-field optimal control A Γ-convergence result for fluid-filled fracture propagation Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies Numerical computation of the cut locus via a variational approximation of the distance function The nonlinear membrane model: a Young measure and varifold formulation Dimension reduction for functionals on solenoidal vector fields A-Quasiconvexity: Relaxation and Homogenization Relaxation of Quasilinear Elliptic Systems via A-quasiconvex Envelopes An existence result for a nonconvex variational problem via regularity Relaxation of an optimal design problem in fracture mechanic: the anti-plane case Deterministic state-constrained optimal control problems without controllability assumptions Linearization techniques for $\mathbb{L}^{\infty}$-control problems and dynamic programming principles in classical and $\mathbb{L}^{\infty}$-control problems Homogenization of unbounded functionals and nonlinear elastomers. The case of the fixed constraints set Higher-order phase transitions with line-tension effect Shape optimization problems for metric graphs Regularity of minimizers for free-discontinuity problems with p(·)-growth An example in the gradient theory of phase transitions Integral representation and Γ-convergence of variational integrals with p(x)-growth

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