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Uniformly Degenerate Elliptic Equations with Varying Characteristic Exponents

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arxiv 2411.17016 v1 pith:34AHKCCM submitted 2024-11-26 math.AP

Qing Han , Jiongduo Xie This is my paper · ORCID
classification math.AP
keywords characteristicdegenerateellipticequationsexponentsuniformlyvaryingbounded
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In this paper, we study the regularity of solutions to uniformly degenerate elliptic equations in bounded domains under the condition that the characteristic polynomials have varying characteristic exponents.

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  1. Schauder estimates for elliptic equations degenerating on lower dimensional manifolds

    math.AP 2025-01 conditional novelty 7.0 of 10

    Weak solutions to weighted elliptic equations with a distance-to-a-manifold weight are shown to be C^{0,α} or C^{1,α} up to the characteristic manifold under a homogeneous conormal condition.

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