scholarly journals A-superharmonic functions and supersolutions of degenerate elliptic equations

1988 ◽  
Vol 26 (1-2) ◽  
pp. 87-105 ◽  
Author(s):  
J. Heinonen ◽  
T. Kilpeläinen
Keyword(s):  
Elliptic Equations ◽  
Degenerate Elliptic Equations ◽  
Superharmonic Functions ◽  
Degenerate Elliptic

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.

scholarly journals On the continuity of solutions to degenerate elliptic equations

2011 ◽  
Vol 250 (6) ◽  
pp. 2671-2686 ◽  
Author(s):  
D. Cruz-Uribe ◽  
P. Di Gironimo ◽  
C. Sbordone
Keyword(s):  
Elliptic Equations ◽  
Degenerate Elliptic Equations ◽  
Continuity Of Solutions ◽  
Degenerate Elliptic

Multiple solutions for semi-linear corner degenerate elliptic equations with singular potential term

2016 ◽  
Vol 19 (04) ◽  
pp. 1650043 ◽  
Author(s):  
Hua Chen ◽  
Shuying Tian ◽  
Yawei Wei
Keyword(s):  
Dirichlet Problem ◽  
Variational Method ◽  
Elliptic Equations ◽  
Multiple Solutions ◽  
Dirichlet Boundary ◽  
Singular Potential ◽  
Degenerate Elliptic Equations ◽  
Dirichlet Boundary Value Problem ◽  
Potential Term ◽  
Degenerate Elliptic

The present paper is concern with the Dirichlet problem for semi-linear corner degenerate elliptic equations with singular potential term. We first give the preliminary of the framework and then discuss the weighted corner type Hardy inequality. By using the variational method, we prove the existence of multiple solutions for the Dirichlet boundary-value problem.

scholarly journals Multiple solutions for semi-linear corner degenerate elliptic equations

2014 ◽  
Vol 266 (6) ◽  
pp. 3815-3839 ◽  
Author(s):  
Hua Chen ◽  
Xiaochun Liu ◽  
Yawei Wei
Keyword(s):  
Elliptic Equations ◽  
Multiple Solutions ◽  
Degenerate Elliptic Equations ◽  
Degenerate Elliptic
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