On Lower Semicontinuity of Integral Functionals. I
From MaRDI portal
Publication:4134429
DOI10.1137/0315035zbMath0361.46037OpenAlexW4256110609MaRDI QIDQ4134429
Publication date: 1977
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0315035
Derivatives of functions in infinite-dimensional spaces (46G05) Existence theories in calculus of variations and optimal control (49J99)
Related Items
Abstract nonlinear evolution inclusions of second order with applications in visco-elasto-plasticity ⋮ From visco to perfect plasticity in thermoviscoelastic materials ⋮ Integral representation and \(\Gamma\)-convergence for free-discontinuity problems with \(p(\cdot)\)-growth ⋮ Weighted Sobolev spaces and Morse estimates for quasilinear elliptic equations ⋮ Critical groups computations on a class of Sobolev Banach spaces via Morse index ⋮ Existence results for a coupled viscoplastic-damage model in thermoviscoelasticity ⋮ Cohesive zone-type delamination in visco-elasticity ⋮ Continuity theorem for nonlinear integral functionals and Aumann-Perles' variational problem ⋮ Energy functionals depending on elastic strain and chemical composition ⋮ Existence and characterization of bv-curves for problems of calculus of variations ⋮ An extension of Prohorov's theorem for transition probabilities with applications to infinite-dimensional lower closure problems ⋮ On the continuity of expected utility ⋮ Existence of scalar minimizers for simple convex integrals with autonomous Lagrangian measurable on the state variable ⋮ Champs Hamiltoniens, relaxation et existence de solutions en calcul des variations. (Hamiltonian fields, relaxation and existence of solutions in the calculus of variations) ⋮ On integral representation of \(\Gamma\)-limit functionals ⋮ Semicontinuity of an integral functional in a Banach space ⋮ Minimization of integral functionals depending on lipschitz domains ⋮ An optimal design problem with non-standard growth and no concentration effects ⋮ Lower semicontinuity of multiple integrals and the Biting Lemma ⋮ Singular vanishing-viscosity limits of gradient flows: the finite-dimensional case ⋮ A criterion for continuity of an integral functional on a sequence of functions ⋮ Balanced-viscosity solutions to infinite-dimensional multi-rate systems ⋮ A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints ⋮ Nonsmooth analysis of doubly nonlinear evolution equations ⋮ Existence theorems for moving boundary optimization problems ⋮ On lower semicontinuity in \(BH^p\) and 2-quasiconvexification ⋮ Dudley metric and continuity of functional integrals ⋮ Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals ⋮ Global existence results for viscoplasticity at finite strain ⋮ Unnamed Item ⋮ Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity ⋮ Homogenization of Cahn-Hilliard-type equations via evolutionary \(\Gamma\)-convergence ⋮ Multibump bound states for quasilinear Schrödinger systems with critical frequency ⋮ Second-order energies on thin structures: Variational theory and non-local effects ⋮ Necessary conditions for multiple integral problem in the calculus of variations ⋮ Fatou's lemma and lower epi-limits of integral functionals ⋮ Variational problems in SBV and image segmentation ⋮ A new family of transportation costs with applications to reaction-diffusion and parabolic equations with boundary conditions ⋮ Compactness methods for doubly nonlinear parabolic systems ⋮ Compactness criteria for an operator constraint in the Arkin-Levin variational problem ⋮ A theorem on lower semicontinuity of integral functionals ⋮ On a non-isothermal Cahn-Hilliard model based on a microforce balance ⋮ Existence theory for a new class of variational problems ⋮ Infinite-horizon continuous-time growth models ⋮ Disintegration of Young Measures and Nonlinear Analysis ⋮ Analysis of a thermodynamically consistent Navier-Stokes-Cahn-Hilliard model ⋮ Integral representation of nonconvex functionals defined on measures ⋮ Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy ⋮ Existence of vector minimizers for nonconvex 1-dim integrals with almost convex Lagrangian ⋮ Infinite energy solutions for dissipative Euler equations in \(\mathbb{R}^2\) ⋮ Epi-convergent discretization of the generalized Bolza problem in dynamic optimization ⋮ Semicontinuity problems in the calculus of variations ⋮ Optimal control of systems governed by fractional Laplacian in the minimax framework ⋮ Relaxation for a class of nonconvex functionals defined on measures ⋮ Epi-convergent discretizations of multistage stochastic programs via integration quadratures ⋮ A VANISHING VISCOSITY APPROACH TO A RATE-INDEPENDENT DAMAGE MODEL ⋮ Finite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and Linearization ⋮ An approach to minimization under a constraint: the added mass technique ⋮ A generalization of the weak convergence theorem in Sobolev spaces with application to differential inclusions in a Banach space ⋮ Regularity and Morse Index of the Solutions to Critical Quasilinear Elliptic Systems ⋮ Lower semicontinuity of \(L^\infty\) functionals. ⋮ On Lipschitz regularity of minimizers of a calculus of variations problem with non locally bounded Lagrangians ⋮ On the Lower Semicontinuity of Supremal Functionals ⋮ Existence theorem in the optimal control problem on an infinite time interval ⋮ Continuity properties of the private core ⋮ An existence theorem for pareto problems ⋮ Universal singular sets in the calculus of variations ⋮ Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations ⋮ Higher differentiability for a class of obstacle problems with nearly linear growth conditions ⋮ Effective energy integral functionalsfor thin films on curl-free vector fields in the Orlicz–Sobolev space setting ⋮ Unnamed Item ⋮ Existence for an abstract control problem in banach spaces ⋮ Generation of balanced viscosity solutions to rate-independent systems via variational convergence ⋮ AΓ-convergence result for variational integrators of lagrangians with quadratic growth ⋮ Closedness in the weak topology of the dual pair \(L^{1,C}\) ⋮ Upper semicontinuity properties of set valued functions ⋮ A regularity result for minimal configurations of a free interface problem ⋮ Maximally dissipative solutions for incompressible fluid dynamics ⋮ Relaxation of convex functionals: the gap problem ⋮ On recent existence theorems in the theory of optimization ⋮ Analysis of the Cahn–Hilliard Equation with a Chemical Potential Dependent Mobility ⋮ Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting ⋮ Recursive utility and optimal capital accumulation. I: Existence ⋮ Compactness of special functions of bounded higher variation ⋮ Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model ⋮ Curves of minimal action over metric spaces ⋮ On existence problems for the optimal control of certain nonlinear integral equations of Urysohn type ⋮ An existence result for optimal economic growth problems ⋮ Some properties of sequential topologies and normal integrands ⋮ Semi-continuité inférieure d'intégrales multiples et d'intégrandes convergentes ⋮ Relaxation for optimal design problems with non-standard growth ⋮ On the existence of optimal solutions in a stochastic control model ⋮ Free-discontinuity problems generated by singular perturbation ⋮ Lower closure for orientor fields by lower semicontinuity of outer integral functionals ⋮ ``Entropic” Solutions to a Thermodynamically Consistent PDE System for Phase Transitions and Damage ⋮ Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness ⋮ An optimal design problem with perimeter penalization ⋮ Normalized solutions for nonlinear Choquard equations with general nonlocal term ⋮ Sensitivity analysis for a continuous time infinite horizon growth model ⋮ Scalar non-linear conservation laws with integrable boundary data ⋮ Analysis of a model coupling volume and surface processes in thermoviscoelasticity ⋮ On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids ⋮ Bogolyubov-type theorem with constraints generated by a fractional control system
This page was built for publication: On Lower Semicontinuity of Integral Functionals. I