scholarly journals A weak maximum principle and estimates of ${\rm ess}\sup\sb \Omega u$ for nonlinear degenerate elliptic equations

1996 ◽  
Vol 46 (2) ◽  
pp. 259-269
Author(s):  
Salvatore Bonafede
Keyword(s):  
Maximum Principle ◽  
Elliptic Equations ◽  
Degenerate Elliptic Equations ◽  
Weak Maximum Principle ◽  
Degenerate Elliptic ◽  
Nonlinear Degenerate

scholarly journals Existence results for nonlinear degenerate elliptic equations with lower order terms

2020 ◽  
Vol 10 (1) ◽  
pp. 301-310
Author(s):  
Weilin Zou ◽  
Xinxin Li
Keyword(s):  
Lower Order ◽  
Elliptic Equations ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Regularity Of Solutions ◽  
Degenerate Elliptic Equations ◽  
Degenerate Elliptic ◽  
Initial Boundary Value ◽  
Lower Order Terms ◽  
Nonlinear Degenerate

Abstract In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [2, 9, 11] in some sense.

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