Regularity estimates for fractional orthotropic <i>p</i> -Laplacians of mixed order
Jamil Chaker, Minhyun Kim
Abstract
Abstract We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Topics & Concepts
Harnack's inequalityMathematicsHarnack's principleNonlinear systemSobolev spaceMathematical analysisOrthotropic materialOrder (exchange)Class (philosophy)Type (biology)InequalityPure mathematicsAnisotropyApplied mathematicsPhysicsFinanceGeologyComputer scienceEconomicsFinite element methodQuantum mechanicsArtificial intelligenceThermodynamicsPaleontologyNonlinear Partial Differential EquationsAdvanced Harmonic Analysis ResearchAdvanced Mathematical Modeling in Engineering