On a classical problem of the calculus of variations without convexity assumptions
From MaRDI portal
Publication:915114
DOI10.1016/S0294-1449(16)30306-7zbMath0702.49002OpenAlexW126962394MaRDI QIDQ915114
Arrigo Cellina, Giovanni Colombo
Publication date: 1990
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_1990__7_2_97_0
Related Items
Generic well-posedness of variational problems without convexity assumptions, On the existence of optimal control for semilinear elliptic equations with nonlinear Neumann boundary conditions, A pointwise constrained version of the Liapunov convexity theorem for vectorial linear first-order control systems, The structure of approximate solutions of variational problems without convexity, Bang-bang property for Bolza problems in two dimensions, On optimality conditions of relaxed non-convex variational problems, Some results on non-coercive variational problems and applications, Special bang-bang solutions for nonlinear control systems, Generic existence of Lipschitzian solutions of optimal control problems without convexity assumptions, Strong compactness in Sobolev spaces, Existence of minimizers for non-quasiconvex integrals, Periodic solutions in the calculus of variations and differential equations, A pointwise constrained version of the Liapunov convexity theorem for single integrals, Nonexistence and existence of an optimal control problem governed by a class of semilinear elliptic equations, Qualitative behavior of local minimizers of singular perturbed variational problems, Existence for a nonconvex optimal control problem with nonlinear dynamics, On a variational problem of slow growth without convexity assumptions, Nonexistence and existence results of an optimal control problem governed by a class of multisolution semilinear elliptic equations, Optimization of a prey-predator model with hysteresis and convection, An Overview on Existence of Vector Minimizers for Almost Convex 1—dim Integrals, Diagonal non-semicontinuous variational problems, An existence result for noncoercive nonconvex problems in the calculus of variations, Existence and symmetry of minimizers for nonconvex radially symmetric variational problems, Minima in elliptic variational problems without convexity assumptions, Existence of vector minimizers for nonconvex 1-dim integrals with almost convex Lagrangian, Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions, Existence theorems without convexity assumptions for optimal control problems governed by parabolic and elliptic systems, The Existence Question in the Calculus of Variations: A Density Result, On a parametric problem of the calculus of variations without convexity assumptions, Generic well-posedness of nonconvex optimal control problems, On the validity of the Euler-Lagrange equation in a nonlinear case, A refinement on existence results in nonconvex optimal control, Duality and classical problem of the calculus of variations without convexity assumptions, Another theorem of classical solvability `in small' for one-dimensional variational problems, Existence of scalar minimizers for nonconvex simple integrals of sum type, The minimum problem for one-dimensional non-semicontinuous functionals, The existence of the critical points for the action functional without convexity assumptions, Existence and regularity for scalar minimizers of affine nonconvex simple integrals., Well-posedness and porosity in the calculus of variations without convexity assumptions
Cites Work
- Conditions nécessaires et suffisantes d'existence de solutions en calcul des variations. (Necessary and sufficient conditions for the existence of solutions in the calculus of variations)
- Discontinuites de champs hamiltoniens et existence de solutions optimales en calcul des variations
- Convex analysis and measurable multifunctions
- Théoremes d'existence pour des problèmes du calcul des variations du type: \(\text{Inf}\int^L_0f(x,u'(x))dx\) et \(\text{Inf} \int^L_0f(x,u(x),u'(x))dx\).
- Théorémes d'existence en optimisation non convexe
- Optimization and nonsmooth analysis
- An Existence Theorem without Convexity Conditions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
