| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Sapientia Hungarian Univ Transylvania, Dept Math & Comp Sci, Targu Mures - Romania
[2] Univ Estadual Campinas, Dept Matemat, IMECC, Rua Sergio Buarque Holanda 651, BR-13083859 Campinas, SP - Brazil
[3] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin - Germany
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | ADVANCED NONLINEAR STUDIES; v. 21, n. 4, p. 809-825, SEP 2021. |
| Web of Science Citations: | 3 |
| Abstract | |
In this paper, we study a singular Finsler double phase problem with a nonlinear boundary con-dition and perturbations that have a type of critical growth, even on the boundary. Based on variational methods in combination with truncation techniques, we prove the existence of at least one weak solution for this problem under very general assumptions. Even in the case when the Finsler manifold reduces to the Euclidean norm, our work is the first one dealing with a singular double phase problem and nonlinear bound-ary condition. (AU) | |
| FAPESP's process: | 19/02512-5 - Systems and partial differential equations |
| Grantee: | Marcelo da Silva Montenegro |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/23917-3 - Operator with non standard growth |
| Grantee: | Alessio Fiscella |
| Support Opportunities: | Regular Research Grants |