Abstract

Motivated by models arising in the description of Bose-Einstein condensation, we consider total variation minimization problems in which the total variation is weighted by a function that may degenerate near the domain boundary, and the fidelity term contains a weight that may be both degenerate and singular. We develop a general theory for a class of such problems, with special attention to the examples arising from physical models

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Matteo Novaga

Dip. di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy

matteo.novaga@unipi.it

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Suggested citation

P. Athavale, R. L. Jerrard, M. Novaga, G. Orlandi. “Weighted TV Minimization and Applications to Vortex Density Models.” Journal of Convex Analysis 24 (2017), No. 4, 1051–1084. https://doi.org/10.68381/jca24063

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