Existence of very weak solutions to elliptic systems of p-Laplacian type
| Type of publication: | Article |
| Citation: | |
| Publication status: | Published |
| Journal: | Calc. Var. Partial Differential Equations |
| Volume: | 55 |
| Number: | 3 |
| Year: | 2016 |
| Pages: | 55:52 |
| DOI: | 10.1007/s00526-016-0986-7 |
| Abstract: | We study vector valued solutions to non-linear elliptic partial differential equations with $p$-growth. Existence of a solution is shown in case the right hand side is the divergence of a function which is only $q$ integrable, where $q$ is strictly below but close to the duality exponent $p'$. It implies that possibly degenerate operators of $p$-Laplacian type are well posed in a larger class then the natural space of existence. The key novelty here is a refined a priori estimate, that recovers a duality relation between the right hand side and the solution in terms of weighted Lebesgue spaces. |
| Preprint project: | MORE |
| Preprint year: | 2016 |
| Preprint number: | 06 |
| Preprint ID: | MORE/2016/06 |
| Keywords: | |
| Authors | |
| Added by: | [MB] |
| Total mark: | 0 |
|
Attachments
|
|
|
|
|
Notes
|
|
|
|
|
|
Topics
|
|
