A stability result for p-harmonic systems with discontinuous coefficients
| dc.contributor.author | Stroffolini, Bianca | |
| dc.date.accessioned | 2021-05-17T19:36:48Z | |
| dc.date.available | 2021-05-17T19:36:48Z | |
| dc.date.issued | 2001-01-02 | |
| dc.description.abstract | The present paper is concerned with p-harmonic systems div(⟨A(x) Du(x), Du(x)⟩ p-2/2 A(x) Du(x)) = div(√A(x) F(x)), where A(x) is a positive definite matrix whose entries have bounded mean oscillation (BMO), p is a real number greater than 1 and F ∈ > r/p-1 is a given matrix field. We find a-priori estimates for a very weak solution of class W1,r, provided r is close to 2, depending on the BMO norm of √A, and p close to r. This result is achieved using the corresponding existence and uniqueness result for linear systems with BMO coefficients [St], combined with nonlinear commutators. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Stroffolini, B. (2001). A stability result for p-harmonic systems with discontinuous coefficients. <i>Electronic Journal of Differential Equations, 2004</i>(02), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13570 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Bounded mean oscillation | |
| dc.subject | Linear and nonlinear commutators | |
| dc.subject | Hodge decomposition | |
| dc.title | A stability result for p-harmonic systems with discontinuous coefficients | en_US |
| dc.type | Article |