Year: 2021
Type: article
Abstract: In this paper, we study a singular Finsler double phase problem with a nonlinear boundary condition 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 boundary condition.
Source: Advanced Nonlinear Studies
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,366
Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Fundação de Amparo à Pesquisa do Estado de São Paulo, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Universitatea Sapientia, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap
OpenAlex ID: W3127032040