Results 51 to 60 of about 1,955 (98)
Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Advances in Nonlinear Analysis, 2022 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.
Chaker Jamil, Kim Minhyun
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Global Gevrey hypoellipticity for the twisted Laplacian on forms
, 2017 We study in this paper the global hypoellipticity property in the Gevrey category for the generalized twisted Laplacian on forms. Different from the 0-form case, where the twisted Laplacian is a scalar operator, this is a system of differential operators
Li, Wei-Xi +2 more
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Partial regularity of stable solutions to the fractional Geľfand-Liouville equation
Advances in Nonlinear Analysis, 2021 We analyze stable weak solutions to the fractional Geľfand ...
Hyder Ali, Yang Wen
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Nonlinear elliptic equations with high order singularities [PDF]
, 2016 We study non-variational degenerate elliptic equations with high order singular structures. No boundary data are imposed and singularities occur along an {\it a priori} unknown interior region. We prove that positive solutions have a universal modulus of
Teixeira, Eduardo V.
core
Remark on the analyticity of the fractional Fokker-Planck equation
Advances in Nonlinear AnalysisIn this note, we study the Cauchy problem of the fractional Fokker-Planck equation. We prove that the solution to the Cauchy problem enjoys the analytic smoothing effect with an L2{L}^{2} initial datum for positive time, and the evolution of the analytic
Xu Yan, Yang Keshun, Zhang Jianzhong
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Regularity of optimal mapping between hypercubes
Advanced Nonlinear Studies, 2023 In this note, we establish the global C3,α{C}^{3,\alpha } regularity for potential functions in optimal transportation between hypercubes in Rn{{\mathbb{R}}}^{n} for n≥3n\ge 3. When n=2n=2, the result was proved by Jhaveri.
Chen Shibing, Liu Jiakun, Wang Xu-Jia
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Hölder gradient estimates for a class of singular or degenerate parabolic equations
Advances in Nonlinear Analysis, 2017 We prove interior Hölder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic ...
Imbert Cyril +2 more
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Small solitons and multisolitons in the generalized Davey-Stewartson system
Advances in Nonlinear Analysis, 2022 By introducing and solving a new cross-constrained variational problem, a one-to-one correspondence from the prescribed mass to frequency of soliton is established for the generalized Davey-Stewartson system in two-dimensional space. Orbital stability of
Bai Mengxue, Zhang Jian, Zhu Shihui
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Non-oriented solutions of the eikonal equation [PDF]
, 2008 We study a new formulation for the eikonal equation |grad u| =1 on a bounded subset of R^2. Instead of a vector field grad u, we consider a field P of orthogonal projections on 1-dimensional subspaces, with div P in L^2. We prove existence and uniqueness
Peletier, Mark A., Veneroni, Marco
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The higher integrability of weak solutions of porous medium systems
Advances in Nonlinear Analysis, 2018 In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.
Bögelein Verena +3 more
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