We study existence of solutions for a boundary degenerate (or singular) quasilinear equation in smooth bounded domain under Dirichlet conditions. consider weighted p-Laplacian operator with coefficient that is locally inside the and satisfying certain additional integrability assumptions. Our main result applies value problems involving continuous non-linearities having no growth restriction, b...

In the present paper we deal with a quasilinear problem involving singular term and parametric superlinear perturbation. We are interested in existence, nonexistence multiplicity of positive solutions as parameter λ > 0 ...

We consider a robust switching control problem. The controller only observes the evolution of the state process, and thus uses feedback (closed-loop) switching strategies, a non standard class of switching controls introduced in this paper. The adverse player (nature) chooses open-loop controls that represent the so-called Knightian uncertainty, i.e., misspecifications of the model. The (half) ...