Singular Finsler Double Phase Problems with Nonlinear Boundary Condition

被引：15

作者：

Farkas, Csaba ^{[2
]}

Fiscella, Alessio ^{[3
]}

Winkert, Patrick ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

[2] Sapientia Hungarian Univ Transylvania, Dept Math & Comp Sci, Targu Mures, Romania

[3] Univ Estadual Campinas, Dept Matemat, IMECC, Rua Sergio Buarque Holanda 651, BR-13083859 Campinas, SP, Brazil

来源：

ADVANCED NONLINEAR STUDIES | 2021年 / 21卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Anisotropic Double Phase Operator; Critical Type Exponent; Existence Results; Minkowski Space; Nonlinear Boundary Condition; Singular Problems; POSITIVE SOLUTIONS; NEUMANN PROBLEMS; WULFF SHAPE; EXISTENCE; REGULARITY; EQUATIONS; MULTIPLICITY; EIGENVALUES; FUNCTIONALS; MINIMIZERS;

D O I：

10.1515/ans-2021-2143

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：809 / 825

页数：17

共 57 条

[1] Double phase problems with variable growth and convection for the Baouendi-Grushin operator [J].