1,721,364 research outputs found
Equivalent definitions of BV space and of total variation on metric measure spaces
No full textIn this paper we introduce a new definition of BV based on measure upper gradients and prove the equivalence of this definition, and the coincidence of the corresponding notions of total variation, with the definitions based on relaxation of norm of the slope of Lipschitz functions or upper gradients. As in the previous work by the first author with Gigli and Savaré in the Sobolev case, the proof requires neither local compactness nor doubling and Poincaré
Singular perturbation problems with a compact support semilinear term
No full textAlberti, Giovanni; Ambrosio, Luigi; Buttazzo, Giuseppe. (1990). Singular perturbation problems with a compact support semilinear term. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/1530
Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation
No full textGradient flows in metric spaces and in the spaces of probability measures, and applications to Fokker-Planck equations with respect to log-concave measures
No full text
- …
