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arxiv: 1806.00077 · v1 · pith:2HS4HF3Enew · submitted 2018-05-31 · 🧮 math.AP

Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces

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keywords ellipticequationsestimatesfullymixed-normnonlinearparabolicsobolev
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We prove weighted and mixed-norm Sobolev estimates for fully nonlinear elliptic and parabolic equations in the whole space under a relaxed convexity condition with almost VMO dependence on space-time variables. The corresponding interior and boundary estimates are also obtained.

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