Higher differentiability for solutions to nonhomogeneous obstacle problems with 1<p<2
| dc.contributor.author | Wang, Zhenqiang | |
| dc.date.accessioned | 2023-04-25T19:16:33Z | |
| dc.date.available | 2023-04-25T19:16:33Z | |
| dc.date.issued | 2022-08-22 | |
| dc.description.abstract | In this article, we establish integer and fractional higher-order differentiability of weak solutions to non-homogeneous obstable problems that satisfy the variational inequality ∫Ω ‹A(x, Du), D(φ - u)› dx ≥ ∫Ω ‹|F|p-2 F, D(φ - u)› dx, where 1 < p < 2, φ ∈ Kψ(Ω) = {v ∈ u0 + W1,p 0 (Ω, ℝ) : v ≥ ψ a.e. in Ω}, u0 ∈ W1,p(Ω) is a fixed boundary datum. We show that the weak solution, provided the partial map x ↦ A(x, ξ) belongs to a suitable Sobolev or Besov-Lipschitz space. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 28 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, Z. (2022). Higher differentiability for solutions to nonhomogeneous obstacle problems with 1<p<2. <i>Electronic Journal of Differential Equations, 2022</i>(62), pp. 1-28. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16652 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonhomogeneous elliptic obstacle problems | |
| dc.subject | Higher differentiability | |
| dc.subject | Sobolev coefficients | |
| dc.subject | Besov-Lipschitz coefficients | |
| dc.title | Higher differentiability for solutions to nonhomogeneous obstacle problems with 1<p<2 | |
| dc.type | Article |