Necessary and sufficient conditions are obtained for the Lipschitzian stability of local solutions to finite-dimensional parameterized optimization problems in a very general setting. Properties of prox-regularity of the essential objective function and positive definiteness of its coderivative Hessian are the key to these results. A previous characterization of tilt stability comes out as a sp...

In the present study, we have systematically studied role of surface energy coefficient as well temperature dependence in fusion hindrance phenomenon heavy-ion reactions using proximity potential formalism. To this end, performed calculations interaction original 1977 (Prox. 77) and cross sections are calculated based on coupled-channels (CC) approach. The considered systems including 11B+197Au...

Cardiac lymphatic vasculature undergoes substantial expansion in response to myocardial infarction (MI). However, there is limited information on the cellular mechanisms mediating post-MI lymphangiogenesis and accompanying fibrosis in the infarcted adult heart. Using a mouse model of permanent coronary artery ligation, we examined spatiotemporal changes in the expression of lymphendothelial and...

This Perspective covers sustainable oxidation processes using doped cerias, ceria-supported catalysts and ceria-based mixed oxides. Firstly, we consider the general properties of ceria-based catalysts. We outline the advantages of the ceria redox cycle, and explain the dynamic behaviour of these catalysts in the presence of metal additives and dopants. We then review three types of catalytic ox...

The asymptotical limit of the trajectory deened by the continuous steepest descent method for a proper closed convex function f on a Hilbert space is characterized in the set of minimizers of f via an asymp-totical variational principle of Brezis-Ekeland type. The implicit discrete analogue (prox method) is also considered.