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.