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Volume 19, Issue 4
Maximum Principles of Nonhomogeneous Subelliptic p-Laplace Equations and Applications

Haifeng Liu & Pengcheng Niu

J. Part. Diff. Eq., 19 (2006), pp. 289-303.

Published online: 2006-11

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  • Abstract

Maximum principles for weak solutions of nonhomogeneous subelliptic p-Laplace equations related to smooth vector fields {X_j} satisfying the Hömander condition are proved by the choice of suitable test functions and the adaption of the classical Moser iteration method. Some applications are given in this paper.

  • Keywords

Subelliptic p-Laplacian maximum principle Harnack inequality

  • AMS Subject Headings

35B20 35H20 35J70.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-19-289, author = {Haifeng Liu and Pengcheng Niu }, title = {Maximum Principles of Nonhomogeneous Subelliptic p-Laplace Equations and Applications}, journal = {Journal of Partial Differential Equations}, year = {2006}, volume = {19}, number = {4}, pages = {289--303}, abstract = {

Maximum principles for weak solutions of nonhomogeneous subelliptic p-Laplace equations related to smooth vector fields {X_j} satisfying the Hömander condition are proved by the choice of suitable test functions and the adaption of the classical Moser iteration method. Some applications are given in this paper.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5333.html} }
TY - JOUR T1 - Maximum Principles of Nonhomogeneous Subelliptic p-Laplace Equations and Applications AU - Haifeng Liu & Pengcheng Niu JO - Journal of Partial Differential Equations VL - 4 SP - 289 EP - 303 PY - 2006 DA - 2006/11 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5333.html KW - Subelliptic p-Laplacian KW - maximum principle KW - Harnack inequality AB -

Maximum principles for weak solutions of nonhomogeneous subelliptic p-Laplace equations related to smooth vector fields {X_j} satisfying the Hömander condition are proved by the choice of suitable test functions and the adaption of the classical Moser iteration method. Some applications are given in this paper.

Haifeng Liu and Pengcheng Niu . (2006). Maximum Principles of Nonhomogeneous Subelliptic p-Laplace Equations and Applications. Journal of Partial Differential Equations. 19 (4). 289-303. doi:
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