1 citations · 2 across the 6 of their papers we have counts for
6 papers
Characteristic curves for set-valued Hamilton-Jacobi equations
Daniela Visetti
The method of characteristics is extended to set-valued Hamilton-Jacobi equations. This problems arises from a calculus of variations' problem with a multicriteria Lagrangian funct…
The Hopf-Lax formula for multiobjective costs with non-constant discount via set optimization
Daniela Visetti
The minimization of a multiobjective Lagrangian with non-constant discount is studied. The problem is embedded into a set-valued framework and a corresponding definition of the val…
The inf-translation for solving set minimization problems
Andreas H Hamel, Frank Heyde, Daniela Visetti
Set- and vector-valued optimization problems can be re-formulated as complete lattice-valued problems. This has several advantages, one of which is the existence of a clear-cut sol…
Euler-Lagrange equations for multiobjective calculus of variations problems via set optimization
D. Visetti, F. Heyde
The problem of minimizing an integral functional of a vector-valued Lagrangian on a set of admissible arcs with given endpoints is considered. The problem is tackled by embedding i…
Existence, multiplicity and stability of endemic states for an age-structured S-I epidemic model
D. Breda, D. Visetti
We study an S--I type epidemic model in an age-structured population, with mortality due to the disease. A threshold quantity is found that controls the stability of the disease-fr…
Multiplicity of solutions of a zero mass nonlinear equation on a Riemannian manifold
Daniela Visetti
The relation between the number of solutions of a nonlinear equation on a Riemannian manifold and the topology of the manifold itself is studied. The technique is based on Ljustern…