Hölder continuity of bounded generalized solutions for nonlinear fourth-order elliptic equations with strengthened coercivity and natural growth terms
| dc.contributor.author | Voitovych, Mykhailo | |
| dc.date.accessioned | 2022-04-01T17:02:57Z | |
| dc.date.available | 2022-04-01T17:02:57Z | |
| dc.date.issued | 2017-03-02 | |
| dc.description.abstract | In this article we extend the author's previous results on the existence of bounded generalized solutions of a Dirichlet problem for nonlinear elliptic fourth-order equations with the principal part satisfying a strengthened coercivity condition, and a lower-order term having a "natural" growth with respect to the derivatives of the unknown function. Namely, we prove the Hölder continuity of bounded generalized solutions of such equations. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Voitovych, M. V. (2017). Hölder continuity of bounded generalized solutions for nonlinear fourth-order elliptic equations with strengthened coercivity and natural growth terms. Electronic Journal of Differential Equations, 2017(63), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15589 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear elliptic equations | |
| dc.subject | Strengthened coercivity | |
| dc.subject | Lower-order term | |
| dc.subject | Natural growth | |
| dc.subject | Bounded solution | |
| dc.subject | Hölder continuity | |
| dc.title | Hölder continuity of bounded generalized solutions for nonlinear fourth-order elliptic equations with strengthened coercivity and natural growth terms | |
| dc.type | Article |