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Global BMO estimate for a class of non-uniform elliptic equations. (Chinese. English summary) Zbl 07802099

Acta Math. Appl. Sin. 46, No. 6, 1012-1029 (2023).

Summary: The global BMO estimate of the gradient of weak solutions for a class of non-uniformly elliptic equations in the whole space is obtained by using the methods of perturbation discussion and Hardy-Littlewood maximum functions.

MSC:

35B45	A priori estimates in context of PDEs
35J60	Nonlinear elliptic equations

Keywords:

non-uniformly elliptic equation; weak solution; maximal function; BMO estimation

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