Singular Finsler Double Phase Problems with Nonlinear Boundary Condition

Autor(es)

Farkas, Csaba ^[1] ; Fiscella, Alessio ^[2] ; Winkert, Patrick ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: ADVANCED NONLINEAR STUDIES; v. 21, n. 4, p. 809-825, SEP 2021.
• Citações Web of Science: 3

Resumo

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)

• Processo FAPESP: 19/02512-5 - Sistemas e equações diferenciais parciais
• Beneficiário: Marcelo da Silva Montenegro
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 19/23917-3 - Operadores com crescimento não standard
• Beneficiário: Alessio Fiscella
• Modalidade de apoio: Auxílio à Pesquisa - Regular