1 citations · 1 across the 6 of their papers we have counts for
8 papers
Solvability of divergence equation in Lipschitz spaces
María Eugenia Cejas, Ricardo G. Durán
We study the solvability of the divergence equation in bounded domains under homogeneous Dirichlet boundary conditions for data $f\in C^{0,α}(…
Solutions of the divergence equation in Hardy and lipschitz spaces
María Eugenia Cejas, Ricardo G. Durán
Given a bounded domain and of zero integral, the existence of a vector fields $\u$ vanishing on and satisfying $\d\u=f$ has been widely studied because of its c…
Some non-standard biparametric Poincaré type inequalities through harmonic analysis
María Eugenia Cejas, Carolina Mosquera, Carlos Pérez +1
We show some non-standard Poincaré type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from classical estimates exploit…
Self-improving Poincaré-Sobolev type functionals in product spaces
Maria Eugenia Cejas, Carolina Mosquera, Carlos Pérez +1
In this paper we give a geometric condition which ensures that -Poincaré-Sobolev inequalities are implied from generalized -Poincaré inequalities related to nor…
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…
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…