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Volume 4, Issue 4
Dirichlet Problem for Degenerate Quasilinear Elliptic Equations Suggested by the Anisotropic Permeation

Chen Zuchi

J. Part. Diff. Eq.,4(1991),pp.41-50

Published online: 1991-04

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  • Abstract
By Browder's pseudo-monotone operator theory and the techniques belonging to J. Leray and J. Lions, the existence theorem of the generalized solution of the Dirichlet problem for a strongly degenerate quasilincar elliptic equation has been proved in the anisotropic Sobolev space.
  • Keywords

Degenerate equation imbedding theorem anisotropic permeation pseudo-monotone operator

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COPYRIGHT: © Global Science Press

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@Article{JPDE-4-41, author = {Chen Zuchi}, title = {Dirichlet Problem for Degenerate Quasilinear Elliptic Equations Suggested by the Anisotropic Permeation}, journal = {Journal of Partial Differential Equations}, year = {1991}, volume = {4}, number = {4}, pages = {41--50}, abstract = { By Browder's pseudo-monotone operator theory and the techniques belonging to J. Leray and J. Lions, the existence theorem of the generalized solution of the Dirichlet problem for a strongly degenerate quasilincar elliptic equation has been proved in the anisotropic Sobolev space.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5782.html} }
TY - JOUR T1 - Dirichlet Problem for Degenerate Quasilinear Elliptic Equations Suggested by the Anisotropic Permeation AU - Chen Zuchi JO - Journal of Partial Differential Equations VL - 4 SP - 41 EP - 50 PY - 1991 DA - 1991/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5782.html KW - Degenerate equation KW - imbedding theorem KW - anisotropic permeation KW - pseudo-monotone operator AB - By Browder's pseudo-monotone operator theory and the techniques belonging to J. Leray and J. Lions, the existence theorem of the generalized solution of the Dirichlet problem for a strongly degenerate quasilincar elliptic equation has been proved in the anisotropic Sobolev space.
Chen Zuchi. (1991). Dirichlet Problem for Degenerate Quasilinear Elliptic Equations Suggested by the Anisotropic Permeation. Journal of Partial Differential Equations. 4 (4). 41-50. doi:
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