Second-Order Linear Elliptic Equations

1994 ◽  
pp. 64-77
Author(s):  
Joel Smoller
Keyword(s):  
Elliptic Equations ◽  
Second Order ◽  
Order Linear

scholarly journals The Dirichlet Problem for elliptic equations in unbounded domains of the plane

2008 ◽  
Vol 6 (1) ◽  
pp. 47-58 ◽  
Author(s):  
Paola Cavaliere ◽  
Maria Transirico
Keyword(s):  
Dirichlet Problem ◽  
Existence Theorem ◽  
Elliptic Equations ◽  
Unbounded Domains ◽  
Suitable Condition ◽  
Second Order ◽  
Order Linear ◽  
Uniqueness And Existence

In this paper we prove a uniqueness and existence theorem for the Dirichlet problem inW2,pfor second order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of classVMOand satisfy a suitable condition at infinity.

scholarly journals Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains

2008 ◽  
Vol 2008 ◽  
pp. 1-12 ◽  
Author(s):  
Serena Boccia ◽  
Sara Monsurrò ◽  
Maria Transirico
Keyword(s):  
Uniqueness Theorem ◽  
Sobolev Spaces ◽  
Elliptic Equations ◽  
A Priori ◽  
Weighted Sobolev Spaces ◽  
Unbounded Domains ◽  
Regularity Result ◽  
Second Order ◽  
Order Linear ◽  
A Priori Bound

We study in this paper a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of , . We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem.

scholarly journals Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in L 1

2006 ◽  
Vol 105 (3) ◽  
pp. 337-374 ◽  
Author(s):  
J. Casado-Díaz ◽  
T. Chacón Rebollo ◽  
V. Girault ◽  
M. Gómez Mármol ◽  
F. Murat
Keyword(s):  
Finite Elements ◽  
Elliptic Equations ◽  
Divergence Form ◽  
Second Order ◽  
Order Linear ◽  
Right Hand
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