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math.NA2019
Mixed methods for degenerate elliptic problems and application to fractional laplacian
Maria E. Cejas, Ricardo G. Duran, Maria I. Prieto
We analyze the approximation by mixed finite element methods of solutions of equations of the form $-\mbox{div\,} (a\nabla u) = g$, where the coefficient can degenerate go…
math.CA2019
Improved fractional Poincaré type inequalities on John domains
María Eugenia Cejas, Irene Drelichman, Javier C. Martínez-Perales
We obtain improved fractional Poincaré inequalities in John domains of a metric space endowed with a doubling measure under some mild regularity conditions on the meas…