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有着重要的分支。近40年来，这一学科在世界范围内得到了蓬勃的发展，并仍在继续向更广阔的领域延伸。本杂志将吸引和收集这一研究领域的许多重要的高质量的贡献，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是广泛的;尽管如此，该杂志将开放给所有有趣的新发展。主题包括：-最小化问题的变分积分，存在性和正则性理论的最小化和临界点，几何测度理论-变分方法的偏微分方程，最佳质量运输，线性和非线性特征值问题-变分问题的微分和复几何-变分方法的整体分析和拓扑-动力学系统，辛几何，周期解的哈密顿系统-变分方法的数学物理，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-蒙日安培方程和其他完全非线性偏微分方程有关的问题，微分几何，复几何和物理。
Steady vortex patches with opposite rotation directions in a planar ideal fluid
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1503-6
Factorizations and Hardy’s type identities and inequalities on upper half spaces
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1633-x
Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-018-1472-1
Optimal Stefan problem
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-1712-z
Collapsing of the line bundle mean curvature flow on Kähler surfaces
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01908-0
An optimal result for global existence in a three-dimensional Keller–Segel–Navier–Stokes system involving tensor-valued sensitivity with saturation
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1568-2
On the geometry of geodesics in discrete optimal transport
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-018-1456-1
Sharp weighted Trudinger–Moser–Adams inequalities on the whole space and the existence of their extremals
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1580-6
On one-dimension quasilinear wave equations with null conditions
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01761-1
A proof of the Caffarelli contraction theorem via entropic regularization
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01754-0
Estimates and monotonicity for a heat flow of isometric $$G_{2}$$-structures
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1630-0
Bounded solutions and their asymptotics for a doubly nonlinear Cahn–Hilliard system
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-1715-9
Existence of varifold minimizers for the multiphase Canham–Helfrich functional
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01759-9
Yamabe flow and metrics of constant scalar curvature on a complete manifold
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-018-1470-3
The total variation flow in metric random walk spaces
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1684-z
Spectral stability for a class of fourth order Steklov problems under domain perturbations
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-018-1481-0
Geometric and spectral properties of directed graphs under a lower Ricci curvature bound
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01809-2
Construction of solutions for the polyharmonic equation via local Pohozaev identities
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1569-1
A compactness result in $$GSBV^p$$GSBVp and applications to $$\\varGamma $$Γ-convergence for free discontinuity problems
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1530-3
Global regularity for degenerate/singular parabolic equations involving measure data
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01906-2
Sharp Rellich-Leray inequality for axisymmetric divergence-free vector fields
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1592-2
Correction to: Fractional Kirchhoff problems with critical Trudinger–Moser nonlinearity
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1550-Z
On the multiple existence of superquadratic Dirac-harmonic maps into flat tori
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1578-0
Uniform distribution of dislocations in Peierls–Nabarro models for semi-coherent interfaces
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01787-5
Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01882-7
Low Mach number limit of multidimensional steady flows on the airfoil problem
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-1720-z
On the Dirichlet problem for degenerate Monge–Ampère type equations
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1619-8
Bound states for logarithmic Schrödinger equations with potentials unbounded below
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1677-y
On the generalized principal eigenvalue of quasilinear operator: definitions and qualitative properties
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1523-2
Existence and shape of the least energy solution of a fractional Laplacian
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1494-3
On renormalized solutions to elliptic inclusions with nonstandard growth
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01893-4
Existence of bubbling solutions for the Liouville system in a torus
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1534-Z
Asymptotic behavior of solutions for a free boundary problem with a nonlinear gradient absorption
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-018-1480-1
Fast and slow decaying solutions for $$H^{1}$$ H 1 -supercritical quasilinear Schrödinger equations
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1594-0
Bifurcations of symmetric periodic orbits via Floer homology
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01757-x
Hypersurfaces with nonegative Ricci curvature in $$\\mathbb {H}^{n+1}$$Hn+1
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-018-1471-2
Quantitative absolute continuity of planar measures with two independent Alberti representations
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-1714-x
Optimal regularity of constant curvature graphs in Hyperbolic space
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1583-3
Multiple solutions for the Van der Waals–Allen–Cahn–Hilliard equation with a volume constraint
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-1724-8
A discrete variational scheme for isentropic processes in polyconvex thermoelasticity
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-01766-w
Weighted $$L_{p,q}$$Lp,q-estimates for higher order elliptic and parabolic systems with $$\\mathrm {BMO}_x$$BMOx coefficients on Reifenberg flat domains
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1537-9
Existence of least energy positive solutions to Schrödinger systems with mixed competition and cooperation terms: the critical case
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1694-x
Correction to: Characterization of n-rectifiability in terms of Jones’ square function: part I
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-018-1478-8
Correction to: Asymptotic analysis for Dirac-harmonic maps from degenerating spin surfaces and with bounded index
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1617-x
The affine Orlicz Pólya–Szegö principle on $$BV(\\Omega )$$ B V ( Ω )
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1622-0
The analysis of solutions for Maxwell–Chern–Simons O (3) sigma model
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/S00526-019-1590-4
Morse theory and Hilbert’s 19th problem
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1614-0
Concentrated solution for some non-local and non-variational singularly perturbed problems
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1626-9
Euler’s optimal profile problem
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-020-1707-9
Klein–Gordon–Maxwell–Proca type systems in the electro-magneto-static case: the high dimensional case
来源期刊：Calculus of Variations and Partial Differential EquationsDOI：10.1007/s00526-019-1555-7
