Weighted Gagliardo-Nirenberg Inequalities Involving BMO Norms and Measures

Abstract

Global and local weighted Gagliardo-Nirenberg inequalities with doubling measures are established. These inequalities are key ingredients for the regularity theory and existence of strong solutions for strongly coupled parabolic and elliptic systems which are degenerate or singular because of the unboundedness of dependent and independent variables.

Cited by in corpus (2)

• Existence of Strong Solutions to Degenerate or Singular Strongly Coupled Elliptic Systems
• On the Solvability of a Class of Degenerate or Singular Strongly Coupled Parabolic Systems