OpenAlex | Poincaré inequalities for Sobolev spaces with matrix-valued weights and applications to degenerate partial differential equations

Poincaré inequalities for Sobolev spaces with matrix-valued weights and applications to degenerate partial differential equations

Work

Year: 2018

Type: article

Abstract: For bounded domains Ω , we prove that the L p -norm of a regular function with compact support is controlled by weighted L p -norms of its gradient, where the weight belongs to a class of symmetric no... more

Source: Proceedings of the Royal Society of Edinburgh Section A Mathematics

Authors Dario D. Monticelli, Kevin R. Payne, Fabio Punzo

Institutions Politecnico di Milano, University of Milan, University of Calabria

Cites: 17

Cited by: 13

Related to: 10

FWCI: 2.798

Citation percentile (by year/subfield): 94.56

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green