Research in the field of inequalities and differential equations on Lie groups and manifolds has steadily evolved, bridging classical analysis with modern geometric methods. At its core, the subject ...

Dynamic inequalities and integral equations on time scales represent a unifying framework that seamlessly bridges discrete and continuous analysis. By generalising classical inequalities such as those ...

We discuss some Trudinger-Moser inequalities with weighted Sobolev norms. Suitable logarithmic weights in these norms allow an improvement in the maximal growth for integrability when one restricts to ...