Poincaré inequalities with the Radon measure for differential forms. (English) Zbl 1189.35011

Summary: We establish the local and global Poincaré inequalities with the Radon measure for the solutions to the nonlinear elliptic partial differential equation for differential forms.


35A23 Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals
35R06 PDEs with measure
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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