H1/2 maps with values into the circle : minimal connections, lifting, and the Ginzburg–Landau equation
Hamiltoniens quasi-convexes quasi-concaves
Hamilton-Jacobi equations for control problems of parabolic equations
We study Hamilton-Jacobi equations related to the boundary (or internal) control of semilinear parabolic equations, including the case of a control acting in a nonlinear boundary condition, or the case of a nonlinearity of Burgers' type in 2D. To deal with a control acting in a boundary condition a fractional power – where (A,D(A)) is an unbounded operator in a Hilbert space X – is contained in the Hamiltonian functional appearing in the Hamilton-Jacobi equation. This situation has already...
Harmonic maps into a hemisphere
Harmonic maps into round cones and singularities of nematic liquid crystals.
Harmonic sum and duality.
Heavy viable trajectories of controlled systems
Helmholtz conditions and their generalizations.
Hemiequilibrium problems.
Hemivariational inequalities governed by the p-Laplacian - Neumann problem
Hierarchical convergence of a double-net algorithm for equilibrium problems and variational inequality problems.
High order necessary optimality conditions.
Higher integrability of determinants and weak convergence in L1.
Higher-order phase transitions with line-tension effect
The behavior of energy minimizers at the boundary of the domain is of great importance in the Van de Waals-Cahn-Hilliard theory for fluid-fluid phase transitions, since it describes the effect of the container walls on the configuration of the liquid. This problem, also known as the liquid-drop problem, was studied by Modica in [Ann. Inst. Henri Poincaré, Anal. non linéaire 4 (1987) 487–512], and in a different form by Alberti et al. in [Arch. Rational Mech. Anal.u is a scalar density function and...
Higher-order phase transitions with line-tension effect
The behavior of energy minimizers at the boundary of the domain is of great importance in the Van de Waals-Cahn-Hilliard theory for fluid-fluid phase transitions, since it describes the effect of the container walls on the configuration of the liquid. This problem, also known as the liquid-drop problem, was studied by Modica in [Ann. Inst. Henri Poincaré, Anal. non linéaire4 (1987) 487–512], and in a different form by Alberti et al. in [Arch. Rational Mech. Anal.144 (1998) 1–46] for a first-order...
Higher-order weakly generalized adjacent epiderivatives and applications to duality of set-valued optimization.
High-order angles in almost-Riemannian geometry
Let and be two smooth vector fields on a two-dimensional manifold . If and are everywhere linearly independent, then they define a Riemannian metric on (the metric for which they are orthonormal) and they give to the structure of metric space. If and become linearly dependent somewhere on , then the corresponding Riemannian metric has singularities, but under generic conditions the metric structure is still well defined. Metric structures that can be defined locally in this way...
Hölder continuity conditions for the solvability of Dirichlet problems involving functionals with free discontinuities
Hölder continuity of minimzers of functionals with variable growth exponent.
Homogénéisation