Journal Title:Calculus Of Variations And Partial Differential Equations
Calculus of variations and partial differential equations are classical, very active, closely related areas of mathematics, with important ramifications in differential geometry and mathematical physics. In the last four decades this subject has enjoyed a flourishing development worldwide, which is still continuing and extending to broader perspectives.
This journal will attract and collect many of the important top-quality contributions to this field of research, and stress the interactions between analysts, geometers, and physicists. The field of Calculus of Variations and Partial Differential Equations is extensive; nonetheless, the journal will be open to all interesting new developments. Topics to be covered include:
- Minimization problems for variational integrals, existence and regularity theory for minimizers and critical points, geometric measure theory
- Variational methods for partial differential equations, optimal mass transportation, linear and nonlinear eigenvalue problems
- Variational problems in differential and complex geometry
- Variational methods in global analysis and topology
- Dynamical systems, symplectic geometry, periodic solutions of Hamiltonian systems
- Variational methods in mathematical physics, nonlinear elasticity, asymptotic variational problems, homogenization, capillarity phenomena, free boundary problems and phase transitions
- Monge-Ampère equations and other fully nonlinear partial differential equations related to problems in differential geometry, complex geometry, and physics.
变分法和偏微分方程是经典的、非常活跃的、密切相关的数学领域,在微分几何和数学物理中具有重要的影响。在过去的四年里,这一主题在全球范围内得到了蓬勃发展,并且仍在继续并扩展到更广泛的领域。
该期刊将吸引和收集该研究领域的许多重要的高质量贡献,并强调分析师、几何学家和物理学家之间的互动。变分法和偏微分方程的领域很广泛;尽管如此,该期刊仍将对所有有趣的新发展持开放态度。涵盖的主题包括:
- 变分积分的极小化问题,极小值和临界点的存在性和正则性理论,几何测度理论
- 偏微分方程、最优质量传输、线性和非线性特征值问题的变分方法
- 微分和复杂几何中的变分问题
- 全局分析和拓扑中的变分方法
- 动力系统、辛几何、哈密顿系统的周期解
- 数学物理中的变分方法、非线性弹性、渐近变分问题、均匀化、毛细现象、自由边界问题和相变
- Monge-Ampère 方程和其他与微分几何、复杂几何和物理问题相关的完全非线性偏微分方程。
大类学科 | 小类学科 | 分区 | Top期刊 | 综述期刊 |
数学 | MATHEMATICS 数学 MATHEMATICS, APPLIED 应用数学 | 2区 | 是 | 是 |
大类学科 | 小类学科 | 分区 |
数学 | MATHEMATICS 数学 MATHEMATICS, APPLIED 应用数学 | 2区 |
期刊名称 | 领域 | 中科院分区 | 影响因子 |
Publicacions Matematiques | 数学 | 2区 | 1.100 |
Calculus Of Variations And Partial Differential Equations | 数学 | 2区 | 2.100 |
Review Of Symbolic Logic | 数学 | 2区 | 0.600 |
Review Of Symbolic Logic | 数学 | 2区 | 0.600 |
Siam Journal On Matrix Analysis And Applications | 数学 | 2区 | 1.500 |
Siam Journal On Matrix Analysis And Applications | 数学 | 2区 | 1.500 |