Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz–Sobolev spaces

2012 ◽  
Vol 75 (12) ◽  
pp. 4441-4456 ◽  
Author(s):  
Gabriele Bonanno ◽  
Giovanni Molica Bisci ◽  
Vicenţiu D. Rădulescu
Keyword(s):  
Sobolev Spaces ◽  
Dirichlet Problems ◽  
Quasilinear Elliptic

Some uniqueness results for singular elliptic problems

2015 ◽  
Vol 26 (03) ◽  
pp. 1550026 ◽  
Author(s):  
L. Caso ◽  
R. D'Ambrosio
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Sobolev Spaces ◽  
Open Subset ◽  
Weighted Sobolev Spaces ◽  
Elliptic Partial Differential Equations ◽  
Divergence Form ◽  
Dirichlet Problems ◽  
Uniqueness Results ◽  
Singular Data

We prove some uniqueness results for Dirichlet problems for second-order linear elliptic partial differential equations in non-divergence form with singular data in suitable weighted Sobolev spaces, on an open subset Ω of ℝn, n ≥ 2, not necessarily bounded or regular.

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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