Quasicritical elliptic equation involving 1-Laplacian operator with Robin and Neumann Boundary conditions
Abstract In this work, we investigate the existence of solutions for quasicritical elliptic equations involving the 1-Laplacian operator with Robin and Neumann boundary conditions. Assuming that the nonlinearity satisfies suitable hypotheses, we establish the existence of solutions using approximation techniques. To overcome the challenges associated with the lack of compactness, we employ the Vitali Convergence Theorem.
Authors
- Marcos T. O. Pimenta (ORCID: https://orcid.org/0000-0003-4961-3038)
- Sergio Segura de León (ORCID: https://orcid.org/0000-0002-8515-7108)
- Yino B. C. Carranza (ORCID: https://orcid.org/0000-0002-2956-2993)
Institutions
- Universitat de València (ES)
- Universidade Estadual Paulista (Unesp) (BR)
Publication Details
- Journal
- Nonlinear Differential Equations and Applications NoDEA
- Published
- 2026-07-25
- DOI
- https://doi.org/10.1007/s00030-026-01257-5
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Universitat de València
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Ministerio de Ciencia e Innovación
- Agencia Estatal de Investigación