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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Some existence results of bounded variation solutions to 1-biharmonic problems

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Author(s):
Barile, Sara [1] ; Pimenta, Marcos T. O. [2]
Total Authors: 2
Affiliation:
[1] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari - Italy
[2] Univ Eatadual Paulista UNESP, Fac Ciencias & Tecnol, Dept Matemat & Computacao, BR-19060900 Presidente Prudente, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Mathematical Analysis and Applications; v. 463, n. 2, p. 726-743, JUL 15 2018.
Web of Science Citations: 0
Abstract

In this paper we establish some existence results to a fourth-order quasilinear elliptic equation involving the 1-biharmonic operator, formally given by Delta(2)(1)u = Delta(Delta u/|Delta u)). We consider different geometrical assumptions in the nonlinearity and use variational methods in order to get nontrivial ground-state solutions. (C) 2018 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 17/01756-2 - Variational methods applied to problems modeled in the space of functions of bounded variation
Grantee:Marcos Tadeu de Oliveira Pimenta
Support Opportunities: Regular Research Grants