scholarly journals Maximum principles for weak solutions of degenerate elliptic equations with a uniformly elliptic direction

2009 ◽  
Vol 247 (7) ◽  
pp. 1993-2026 ◽  
Author(s):  
Dario D. Monticelli ◽  
Kevin R. Payne
Keyword(s):  
Weak Solutions ◽  
Elliptic Equations ◽  
Maximum Principles ◽  
Degenerate Elliptic Equations ◽  
Degenerate Elliptic

scholarly journals A Note on Regularity of Solutions to Degenerate Elliptic Equations of Caffarelli-Kohn-Nirenberg Type

2003 ◽  
Vol 3 (4) ◽  
Author(s):  
Veronica Felli ◽  
Matthias Schneider
Keyword(s):  
Weak Solutions ◽  
Elliptic Equations ◽  
Hölder Continuity ◽  
Regularity Of Solutions ◽  
Degenerate Elliptic Equations ◽  
Holder Continuity ◽  
Degenerate Elliptic

AbstractWe establish Hölder continuity of weak solutions to degenerate critical elliptic equations of Caffarelli-Kohn-Nirenberg type.

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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