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Harnack inequality for subelliptic \(p\)-Laplacian equations of Schrödinger type

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Publication:394688
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DOI10.1186/1029-242X-2013-160zbMath1284.35143OpenAlexW2132273978WikidataQ59301694 ScholiaQ59301694MaRDI QIDQ394688

Yuxing Guo, Yin Sheng Jiang

Publication date: 27 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-160

zbMATH Keywords

Carnot-Carathéodory metriccontrol distanceKato-Stummel type


Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10) Weak solutions to PDEs (35D30) Subelliptic equations (35H20)


Related Items

Harnack inequality for degenerate Hormander sub-elliptic operators with potentials, Green functions for weighted subelliptic \(p\)-Laplace operator constructed by Hörmander's vector fields



Cites Work

  • Green function for \(X\)-elliptic operators
  • Hölder continuity for solutions of linear degenerate elliptic equations under minimal assumptions
  • The Poincaré inequality for vector fields satisfying Hörmander's condition
  • Local behavior of solutions of quasi-linear equations
  • Green functions for a class of nonlinear degenerate operators with X-ellipticity
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