Minimizing a functional depending on \(\nabla u\) and on \(u\)
From MaRDI portal
Publication:1357506
DOI10.1016/S0294-1449(97)80140-0zbMath0876.49001OpenAlexW2056316058MaRDI QIDQ1357506
Publication date: 25 November 1997
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_1997__14_3_339_0
Related Items
Variational principles with integrands defined through a minimum, On a system of partial differential equations of Monge--Kantorovich type, A new symmetry criterion based on the distance function and applications to PDE's, Minima in elliptic variational problems without convexity assumptions, On the characterization of some classes of proximally smooth sets, A sharp uniqueness result for a class of variational problems solved by a distance function, On radially symmetric minima of nonconvex functionals, Geometric constraints on the domain for a class of minimum problems, On gradient flows, Existence and regularity of minimizers of nonconvex functionals depending on \(u\) and \(\nabla u\), A boundary value problem for a PDE model in mass transfer theory: representation of solutions and applications, Variational problems for a class of functionals on convex domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis and numerical studies of a problem of shape design
- Existence theorems for non convex problems
- Numerical study of a relaxed variational problem from optimal design
- Existence of minimizers for non-quasiconvex integrals
- Optimal design and relaxation of variational problems, I
- A Version of Olech’s Lemma in a Problem of the Calculus of Variations
- A necessary and sufficient condition for nonattainment and formation of microstructure almost everywhere in scalar variational problems
- On minima of radially symmetric functionals of the gradient
- Sur une Classe de Fonctionnelles non Convexes et Applications
- Théorèmes d'existence en calcul des variations et applications à l'élasticité non linéaire
- An Existence Result in a Problem of the Vectorial Case of the Calculus of Variations
- On minima of a functional of the gradient: sufficient conditions