Minimal hypersurfaces asymptotic to quadratic cones in Zn + 1.
Minimal interface criterion for phase transitions in mixtures of Cahn-Hilliard fluids
Minimal invasion: An optimal L∞ state constraint problem
In this work, the least pointwise upper and/or lower bounds on the state variable on a specified subdomain of a control system under piecewise constant control action are sought. This results in a non-smooth optimization problem in function spaces. Introducing a Moreau-Yosida regularization of the state constraints, the problem can be solved using a superlinearly convergent semi-smooth Newton method. Optimality conditions are derived, convergence of the Moreau-Yosida regularization is proved, and...
Minimal invasion: An optimal L∞ state constraint problem
In this work, the least pointwise upper and/or lower bounds on the state variable on a specified subdomain of a control system under piecewise constant control action are sought. This results in a non-smooth optimization problem in function spaces. Introducing a Moreau-Yosida regularization of the state constraints, the problem can be solved using a superlinearly convergent semi-smooth Newton method. Optimality conditions are derived, convergence of the Moreau-Yosida regularization is proved, and...
Minimal pairs representing selections of four linear functions in .
Minimal rearrangements of Sobolev functions : a new proof
Minimal solutions of variational problems on a torus
Minimal surfaces in pseudohermitian geometry
We consider surfaces immersed in three-dimensional pseudohermitian manifolds. We define the notion of (p-)mean curvature and of the associated (p-)minimal surfaces, extending some concepts previously given for the (flat) Heisenberg group. We interpret the p-mean curvature not only as the tangential sublaplacian of a defining function, but also as the curvature of a characteristic curve, and as a quantity in terms of calibration geometry. As a differential equation, the p-minimal surface equation...
Minimal surfaces PDE as a Monge-Ampère type equation.
Minimalflächen mit freiem Rand in Riemannschen Mannigfaltigkeiten.
Minimalflächen mit polygonalem Rand.
Minimax and Fixed Point Theorems.
Minimax control of a linear system with multinomial disturbances
Minimax control of a multivariate time-continuous linear stochastic system
Minimax control of a stochastic system with disturbances belonging to the exponential family
Minimax control of nonlinear evolution equations.
Minimax control of nonlinear evolution equations
In this paper we study the minimax control of systems governed by a nonlinear evolution inclusion of the subdifferential type. Using some continuity and lower semicontinuity results for the solution map and the cost functional respectively, we are able to establish the existence of an optimal control. The abstract results are then applied to obstacle problems, semilinear systems with weakly varying coefficients (e.gȯscillating coefficients) and differential variational inequalities.
Minimax equalities by reconstruction of polytopes.
Minimax inequality for a special class of functionals and its application to existence of three solutions for a Dirichlet problem in one-dimensional case.
Minimax inequality of Ky Fan type in -spaces with applications.