In this paper we investigate maximal L q-regularity for time-dependent viscous Hamilton–
Jacobi equations with unbounded right-hand side and superlinear growth in the gradient …

Mean-field games (MFGs) are models for large populations of competing rational agents that
seek to optimize a suitable functional. In the case of congestion, this functional takes into …

We consider the variational approach to prove the existence of solutions of second-order
stationary Mean Field Games systems on a bounded domain Ω⊆\mathbbR^d with …

In this paper, we study first-order stationary monotone mean-field games (MFGs) with
Dirichlet boundary conditions. Whereas Dirichlet conditions may not be satisfied for …

We study a mean field game model of Cournot/Bertrand competition between firms. Chan
and Sircar introduced such a mean field model of competition in natural resource extraction …

We establish interior regularity results for first-order, stationary, local mean-field game (MFG)
systems. Specifically, we study solutions of the coupled system consisting of a Hamilton …

To represent the interaction of N rational competitors traditionally, a coupled system of N
differential equations must be solved simultaneously, yielding the equilibrium strategy for …

This paper addresses the crucial question of solution uniqueness in stationary first-order
Mean-Field Games (MFGs). Despite well-established existence results, establishing …

In this dissertation, the design and fabrication of deep-ultraviolet photodetectors were
investigated based on gallium oxide and its alloys, through the heterogeneous integration …

Mean-field games (MFGs) model the behavior of large populations of rational agents. Each
agent seeks to minimize an individual cost that depends on the statistical distribution of the …