Higher order variational inequalities with non-standard growth conditions in dimension two: plates with obstacles.

Bildhauer, Martin; Fuchs, Martin

Displaying similar documents to “Higher order variational inequalities with non-standard growth conditions in dimension two: plates with obstacles.”

Γ-convergence approach to variational problems in perforated domains with Fourier boundary conditions

Valeria Chiadò Piat, Andrey Piatnitski (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

The work focuses on the Γ-convergence problem and the convergence of minimizers for a functional defined in a periodic perforated medium and combining the bulk (volume distributed) energy and the surface energy distributed on the perforation boundary. It is assumed that the mean value of surface energy at each level set of test function is equal to zero. Under natural coercivity and -growth assumptions on the bulk energy, and the assumption that the surface energy satisfies -growth...

Homogenization of evolution problems for a composite medium with very small and heavy inclusions

Michel Bellieud (2005)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We study the homogenization of parabolic or hyperbolic equations like $ρ_{ε} \frac{\partial^{n} u_{ε}}{\partial t^{n}} - div (a_{ε} \nabla u_{ε}) = f in Ω \times (0, T) + boundary conditions, n \in {1, 2},$ when the coefficients $ρ_{ε}$ , $a_{ε}$ (defined in $Ø$ ) take possibly high values on a $ε$ -periodic set of grain-like inclusions of vanishing measure. Memory effects arise in the limit problem.

Existence of solution for nonlinear elliptic equations with unbounded coefficients and $L^{1}$ data.

Redwane, Hicham (2009)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Concentration phenomena for solutions of superlinear elliptic problems

Riccardo Molle, Donato Passaseo (2006)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

A generalized strange term in Signorini’s type problems

Carlos Conca, François Murat, Claudia Timofte (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Similarity:

The limit behavior of the solutions of Signorini’s type-like problems in periodically perforated domains with period $ε$ is studied. The main feature of this limit behaviour is the existence of a critical size of the perforations that separates different emerging phenomena as $ε \to 0$ . In the critical case, it is shown that Signorini’s problem converges to a problem associated to a new operator which is the sum of a standard homogenized operator and an extra zero order term (“strange term”) coming...

Homogenization of $p$ -laplacian in perforated domain

B. Amaziane, S. Antontsev, L. Pankratov, A. Piatnitski (2009)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

Topological optimization with the $p$ -Laplacian operator and an application in image processing.

Sy, Alassane, Seck, Diaraf (2009)

Boundary Value Problems [electronic only]

Similarity:

Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case

Gilles A. Francfort, Nam Q. Le, Sylvia Serfaty (2009)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

Critical points of a variant of the Ambrosio-Tortorelli functional, for which non-zero Dirichlet boundary conditions replace the fidelity term, are investigated. They are shown to converge to particular critical points of the corresponding variant of the Mumford-Shah functional; those exhibit many symmetries. That Dirichlet variant is the natural functional when addressing a problem of brittle fracture in an elastic material.