Add to ORKGIn [4] Legendre discusses the set of admissible functions for Newton's variational problem of minimal resistance. He proposes a particular side constraint to ensure existence of a solution. Here we give a rigorous proof of his result and discuss some related problems
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave...
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave...
Variational calculus studies methods for finding maximum and minimum values of functional. It has i...
In [L] Legendre discusses the set of admissible functions for Newton's variational problem of minima...
We give a survey of some results on Newton's problem of minimal resistance obtained in [1] and we pr...
In this paper we consider Newton’s problem of finding a convex body of least resistance. This proble...
The existence of a body of minimal resistance with prescribed volume is proved in the class of profi...
Newton's problem of minimal resistance is one of the first problems of optimal control: it was propo...
We consider the following problem: minimize the functional f (∇u(x)) dx in the class of concave func...
We address Newton-type problems of minimal resistance from an optimal control perspective. It is pro...
We study the flat region of stationary points of the functional∫ Ω F (|∇u(x)|)dx under the constrain...
Some non-coercive variational integrals are considered, including the classical time-of-transit func...
Some non-coercive variational integrals are considered, including the classical time-of-transit func...
We study the minima of the functional $int_Omega f(nabla u)$. The function $f$ is not convex, the s...
We are concerned with the problem of existence, uniqueness and qualitative properties of solutions...
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave...
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave...
Variational calculus studies methods for finding maximum and minimum values of functional. It has i...
In [L] Legendre discusses the set of admissible functions for Newton's variational problem of minima...
We give a survey of some results on Newton's problem of minimal resistance obtained in [1] and we pr...
In this paper we consider Newton’s problem of finding a convex body of least resistance. This proble...
The existence of a body of minimal resistance with prescribed volume is proved in the class of profi...
Newton's problem of minimal resistance is one of the first problems of optimal control: it was propo...
We consider the following problem: minimize the functional f (∇u(x)) dx in the class of concave func...
We address Newton-type problems of minimal resistance from an optimal control perspective. It is pro...
We study the flat region of stationary points of the functional∫ Ω F (|∇u(x)|)dx under the constrain...
Some non-coercive variational integrals are considered, including the classical time-of-transit func...
Some non-coercive variational integrals are considered, including the classical time-of-transit func...
We study the minima of the functional $int_Omega f(nabla u)$. The function $f$ is not convex, the s...
We are concerned with the problem of existence, uniqueness and qualitative properties of solutions...
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave...
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave...
Variational calculus studies methods for finding maximum and minimum values of functional. It has i...