Abstract
We present weighted Sobolev spaces over(H, ̃)p, θγ (Ω) along with a trace theorem and an interpolation theorem for the spaces. Then we solve nonzero boundary value problems for elliptic equations in over(H, ̃)p, θγ (Ω).
Original language | English |
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Pages (from-to) | 1465-1479 |
Number of pages | 15 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 337 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2008 Jan 15 |
Externally published | Yes |
Keywords
- Elliptic equations
- Nonzero boundary conditions
- Traces
- Weighted Sobolev spaces
ASJC Scopus subject areas
- Analysis
- Applied Mathematics