Qualitative analysis of solutions to doubly critical Hardy-Sobolev p-Laplace systems

This talk focuses on a family of Hardy-Sobolev doubly critical p-Laplace systems defined on the whole Euclidean space. A key tool in our analysis is the moving plane method, which will serve as our starting point. We will outline the origins of this method, explain its main features, and discuss the current state of the art in the context of more general problems, culminating in the system under consideration. Particular attention will be paid to how the nonlinear nature of the operator, the presence of Hardy’s potential, and the coupled structure of the system make the application of the method highly nontrivial. - Seminario all'interno del ciclo di seminari ASK-