INVESTIGADORES
CEJAS Maria Eugenia
artículos
Título:
IMPROVED WEIGHTED POINCARÉ INEQUALITIES IN JOHN DOMAINS AND APPLICATION TO THE DIVERGENCE EQUATION
Autor/es:
CEJAS, MARÍA EUGENIA
Revista:
COLLOQUIUM MATHEMATICUM
Editorial:
IMPROVED WEIGHTED POINCARÉ INEQUALITIES IN JOHN DOMAINS AND APPLICATION TO THE DIVERGENCE EQUATION
Referencias:
Año: 2022
ISSN:
0010-1354
Resumen:
We extend some results related to the Poincaré inequality and solvability of divergence obtained in [G. Acosta et al., Ann. Acad. Sci. Fenn. Math. 42 (2017)]. More precisely, we generalize to unbounded John domains the general theorem that provides a sufficient condition on a weight to support a weighted improved Poincaré inequality. Next, we apply this inequality to study the solvability of the divergence equation in weighted Sobolev spaces. As a consequence, we prove the solvability in weighted Sobolev spaces for weights in classes bigger than Ap.
