Relative rearrangement on a finite measure space. Application to the regularity of weighted monotone rearrangement (Part I)
Jean Michel Rakotoson, Benoît Simon (1997)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Similarity:
Displaying similar documents to “Relative rearrangement on a finite measure space. Application to weighted spaces and to P.D.E.”
Relative rearrangement on a finite measure space. Application to the regularity of weighted monotone rearrangement (Part I)
Existence and properties of the Green function for a class of degenerate parabolic equations.
José C. Fernandes, Bruno Franchi (1996)
Revista Matemática Iberoamericana
Similarity:
It is known that degenerate parabolic equations exhibit somehow different phenomena when we compare them with their elliptic counterparts. Thus, the problem of existence and properties of the Green function for degenerate parabolic boundary value problems is not completely solved, even after the contributions of [GN] and [GW4], in the sense that the existence problem is still open, even if the a priori estimates proved in [GN] will be crucial in our approach (...).
Revisited isoperimetric inequalities for the -capacity and application to the muskat problem
Gonoko Moussa (1998)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Similarity:
Pointwise estimates for a class of strongly degenerate elliptic operators : a geometrical approach
B. Franchi, R. Serapioni (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Continuous and compact imbeddings of weighted Sobolev spaces. II
Bohumír Opic, Petr Gurka (1989)
Czechoslovak Mathematical Journal
Similarity:
Two-weight Sobolev-Poincaré inequalities and Harnack inequality for a class of degenerate elliptic operators
Bruno Franchi, Cristian E. Gutiérrez, Richard L. Wheeden (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
In this Note we prove a two-weight Sobolev-Poincaré inequality for the function spaces associated with a Grushin type operator. Conditions on the weights are formulated in terms of a strong weight with respect to the metric associated with the operator. Roughly speaking, the strong condition provides relationships between line and solid integrals of the weight. Then, this result is applied in order to prove Harnack's inequality for positive weak solutions of some degenerate elliptic...