Global Regularity in Sobolev Spaces for Elliptic Problems with p-structure on Bounded Domains

2005 ◽  
pp. 81-89
Author(s):  
Carsten Ebmeyer
Keyword(s):  
Sobolev Spaces ◽  
Global Regularity ◽  
Elliptic Problems ◽  
Bounded Domains

Embeddings of weighted Sobolev spaces and degenerate elliptic problems

2017 ◽  
Vol 60 (8) ◽  
pp. 1399-1418 ◽  
Author(s):  
ZongMing Guo ◽  
LinFeng Mei ◽  
FangShu Wan ◽  
XiaoHong Guan
Keyword(s):  
Sobolev Spaces ◽  
Weighted Sobolev Spaces ◽  
Elliptic Problems ◽  
Degenerate Elliptic

scholarly journals Regularity results for singular elliptic problems

2006 ◽  
Vol 4 (3) ◽  
pp. 243-259 ◽  
Author(s):  
Loredana Caso
Keyword(s):  
Boundary Conditions ◽  
Weight Function ◽  
Elliptic Equations ◽  
Global Regularity ◽  
Elliptic Problems ◽  
The Other ◽  
Weighted Spaces ◽  
Regularity Results

Some local and global regularity results for solutions of linear elliptic equations in weighted spaces are proved. Here the leading coefficients are VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a suitable weight function.

scholarly journals Normal solvability of general linear elliptic problems

2005 ◽  
Vol 2005 (7) ◽  
pp. 733-756 ◽  
Author(s):  
A. Volpert ◽  
V. Volpert
Keyword(s):  
Elliptic Problems ◽  
Unbounded Domains ◽  
General Linear ◽  
Bounded Domains ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Ellipticity Condition ◽  
Normal Solvability ◽  
General Elliptic ◽  
Necessary And Sufficient

The paper is devoted to general elliptic problems in the Douglis-Nirenberg sense. We obtain a necessary and sufficient condition of normal solvability in the case of unbounded domains. Along with the ellipticity condition, proper ellipticity and Lopatinsky condition that determine normal solvability of elliptic problems in bounded domains, one more condition formulated in terms of limiting problems should be imposed in the case of unbounded domains.

Quasilinear elliptic problems on non-reflexive Orlicz-Sobolev spaces

2019 ◽  
pp. 1
Author(s):  
Edcarlos D. Silva ◽  
Marcos Leandro Carvalho ◽  
K. Silva ◽  
José Valdo Gonçalves
Keyword(s):  
Sobolev Spaces ◽  
Elliptic Problems ◽  
Quasilinear Elliptic Problems ◽  
Quasilinear Elliptic
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