Definite Condition of the Evolutionary $\vec{p}(x)$−Laplacian Equation

by Huashui Zhan & Zhaosheng Feng, ATA 38 (2022), pp. 297-321.

Rearrangement Free Method for Hardy-Littlewood-Sobolev Inequalities on $\mathbb{S}^n$

by Shutao Zhang & Yazhou Han, ATA 38 (2022), pp. 178-203.

Existence and Multiplicity Results for a Class of Nonlinear Schrödinger Equations with Magnetic Potential Involving Sign-Changing Nonlinearity

by Francisco Odair de Paiva, Sandra Machado de Souza Lima & Olimpio Hiroshi Miyagaki, ATA 38 (2022), pp. 148-177.

Monge-Ampère Equation with Bounded Periodic Data

by Yanyan Li & Siyuan Lu, ATA 38 (2022), pp. 128-147.

Singular Solutions to Monge-Ampère Equation

by Luis A. Caffarelli & Yu Yuan, ATA 38 (2022), pp. 121-127.

Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6

by Angela Pistoia & Giusi Vaira, ATA 38 (2022), pp. 1-25.

A Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang

by Qi Zhang & Xinghong Pan, ATA 38 (2022), pp. 243-296.

Gradient Estimates of Solutions to the Conductivity Problem with Flatter Insulators

by Yanyan Li & Zhuolun Yang, ATA 37 (2021), pp. 114-128.

Diffusion with a Discontinuous Potential: A Non-Linear Semigroup Approach

by Yong-Jung Kim & Marshall Slemrod, ATA 37 (2021), pp. 178-190.

Ground States to the Generalized Nonlinear Schrödinger Equations with Bernstein Symbols

by Jinmyoung Seok & Younghun Hong, ATA 37 (2021), pp. 157-177.

Index Iteration Theory for Brake Orbit Type Solutions and Applications

by Chungen Liu, Yiming Long & Duanzhi Zhang, ATA 37 (2021), pp. 129-156.

Keplerian Action, Convexity Optimization, and the 4-Body Problem

by Kuo-Chang Chen, ATA 37 (2021), pp. 24-58.

Singular Functions and Characterizations of Field Concentrations: A Survey

by Hyeonbae Kang & Sanghyeon Yu, ATA 37 (2021), pp. 102-113.

Hill-Type Formula and Krein-Type Trace Formula for Hamiltonian Systems

by Xijun Hu, Yuwei Ou, Penghui Wang & Hao Zhu, ATA 37 (2021), pp. 74-101.

Completion of $\mathbb{R}^2$ with a Conformal Metric as a Closed Surface

by Changfeng Gui & Qinfeng Li, ATA 37 (2021), pp. 59-73.

Multiple Sign-Changing Solutions for Quasilinear Equations of Bounded Quasilinearity

by Jiaquan Liu, Xiangqing Liu & Zhi-Qiang Wang, ATA 37 (2021), pp. 209-229.

Shadowing Homoclinic Chains to a Symplectic Critical Manifold

by Sergey Bolotin, ATA 37 (2021), pp. 1-23.

Deformation Argument under PSP Condition and Applications

by Silvia Cingolani & Kazunaga Tanaka, ATA 37 (2021), pp. 191-208.

Classification of Positive Ground State Solutions with Different Morse Indices for Nonlinear $N$-Coupled Schrödinger System

by Juncheng Wei & Maoding Zhen, ATA 37 (2021), pp. 230-266.

Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces

by Dashan Fan & Fayou Zhao, ATA 37 (2021), pp. 267-288.

Intrinsic Square Function Characterizations of Several Hardy-Type Spaces — A Survey

by Xianjie Yan, Dachun Yang & Wen Yuan, ATA 37 (2021), pp. 426-464.

Regularity Results for a Nonlinear Elliptic-Parabolic System with Oscillating Coefficients

by Xiangsheng Xu, ATA 37 (2021), pp. 541-556.

Regularity of Inhomogeneous Quasi-Linear Equations on the Heisenberg Group

by Shirsho Mukherjee & Yannick Sire, ATA 37 (2021), pp. 520-540.

Intermittent Behaviors in Coupled Piecewise Expanding Map Lattices

by Tiexiang Li, Wen-Wei Lin, Yiqian Wang & Shing-Tung Yau, ATA 37 (2021), pp. 481-519.

The Weighted Morrey Boundedness of Multilinear Singular Integral Operators on RD-Spaces

by Siyuan Zhang, Haibo Lin & Yan Lin, ATA 37 (2021), pp. 465-480.

Boundedness of Area Functions Related to Schrödinger Operators and Their Commutators in Weighted Hardy Spaces

by Lin Tang, Jue Wang & Hua Zhu, ATA 37 (2021), pp. 362-386.

Borderline Weighted Estimates for Commutators of Fractional Integrals

by Zhidan Wang, Huoxiong Wu & Qingying Xue, ATA 37 (2021), pp. 404-425.

Commutators of Bilinear Hardy Operators on Two Weighted Herz Spaces with Variable Exponents

by Shengrong Wang & Jingshi Xu, ATA 37 (2021), pp. 387-403.

Compactness of the Commutators of Fractional Hardy Operator with Rough Kernel

by Shaoguang Shi & Zunwei Fu, ATA 37 (2021), pp. 347-361.

A Note on the Convergence of the Schrödinger Operator along Curve

by Junfeng Li & Jun Wang, ATA 37 (2021), pp. 330-346.

Gaussian BV Functions and Gaussian BV Capacity on Stratified Groups

by Jizheng Huang, Pengtao Li & Yu Liu, ATA 37 (2021), pp. 311-329.

Weighted $\ell_p$-Minimization for Sparse Signal Recovery under Arbitrary Support Prior

by Yueqi Ge, Wengu Chen, Huanmin Ge & Yaling Li, ATA 37 (2021), pp. 289-310.

Study on the Splitting Methods for Separable Convex Optimization in a Unified Algorithmic Framework

by Bingsheng He, ATA 36 (2020), pp. 262-282.

Long Time Well-Posedness of the MHD Boundary Layer Equation in Sobolev Space

by Dongxiang Chen, Siqi Ren, Yuxi Wang & Zhifei Zhang, ATA 36 (2020), pp. 1-18.

Multiple Axially Asymmetric Solutions to a Mean Field Equation on $\mathbb{S}^{2}$

by Zhuoran Du, Changfeng Gui, Jiaming Jin & Yuan Li, ATA 36 (2020), pp. 19-32.

On Well-Posedness of 2D Dissipative Quasi-Geostrophic Equation in Critical Mixed Norm Lebesgue Spaces

by Tuoc Phan & Yannick Sire, ATA 36 (2020), pp. 111-127.

Inside the Light Boojums: A Journey to the Land of Boundary Defects

by Stan Alama, Lia Bronsard & Petru Mironescu, ATA 36 (2020), pp. 128-160.

Recent Progress in the $L_p$ Theory for Elliptic and Parabolic Equations with Discontinuous Coefficients

by Hongjie Dong, ATA 36 (2020), pp. 161-199.

Revisit of Semi-Implicit Schemes for Phase-Field Equations

by Tao Tang, ATA 36 (2020), pp. 235-242.

Estimates of Dirichlet Eigenvalues for One-Dimensional Fractal Drums

by Hua Chen & Jinning Li, ATA 36 (2020), pp. 243-261.

The Non-Degeneracy of Harmonic Structures on Planar Sierpinski Gaskets

by Shiping Cao & Hua Qiu, ATA 36 (2020), pp. 510-516.

Eigenvalues of a Differential Operator and Zeros of the Riemann $\zeta$-Function

by Liming Ge, Xian-Jin Li, Dongsheng Wu & Boqing Xue, ATA 36 (2020), pp. 283-294.

Boundary Values of Generalized Harmonic Functions Associated with the Rank-One Dunkl Operator

by Jiaxi Jiu & Zhongkai Li, ATA 36 (2020), pp. 326-347.

Global Existence of Large Data Weak Solutions for a Simplified Compressible Oldroyd-B Model Without Stress Diffusion

by Yong Lu & Milan Pokorný, ATA 36 (2020), pp. 348-372.

A Survey on Some Anisotropic Hardy-Type Function Spaces

by Jun Liu, Dorothee D. Haroske & Dachun Yang, ATA 36 (2020), pp. 373-456.

Lipschitz Invariance of Critical Exponents on Besov Spaces

by Qingsong Gu & Hui Rao, ATA 36 (2020), pp. 457-467.

A Note on $Card(X)$

by Weituo Dai, Meng Wang & Limin Sun, ATA 36 (2020), pp. 468-481.

Hausdorff Dimension of a Class of Weierstrass Functions

by Huojun Ruan & Na Zhang, ATA 36 (2020), pp. 482-496.

Local Well-Posedness for the Compressible Nematic Liquid Crystals Flow with Vacuum

by Jishan Fan, Fucai Li & Gen Nakamura, ATA 36 (2020), pp. 497-509.

Lyapunov Center Theorem of Infinite Dimensional Hamiltonian Systems

by Junxiang Xu & Qi Li, ATA 36 (2020), pp. 295-325.

Global Regularity of 2-D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: High Regularity Case

by Xian Liao & Ping Zhang, ATA 35 (2019), pp. 163-191.

On Compressible Smooth Viscous Fluids in Slowly Expanding Balls

by Huicheng Yin & Lin Zhang, ATA 35 (2019), pp. 28-65.

Lower Bounds of Dirichlet Eigenvalues for General Grushin Type Bi-Subelliptic Operators

by Hua Chen, Hongge Chen, Junfang Wang & Nana Zhang, ATA 35 (2019), pp. 66-84.

The Plasmonic Resonances of a Bowtie Antenna

by Eric Bonnetier, Charles Dapogny, Faouzi Triki & Hai Zhang, ATA 35 (2019), pp. 85-116.

On Conformal Metrics with Constant $Q$-Curvature

by Andrea Malchiodi, ATA 35 (2019), pp. 117-143.

The Neumann Problem of Complex Special Lagrangian Equations with Supercritical Phase

by Chuanqiang Chen, Xinan Ma & Wei Wei, ATA 35 (2019), pp. 144-162.

Vector Solutions with Prescribed Component-Wise Nodes for a Schrödinger System

by Zhaoli Liu & Zhi-Qiang Wang, ATA 35 (2019), pp. 288-311.

A Differential Harnack Inequality for the Newell-Whitehead-Segel Equation

by Derek Booth, Jack Burkart, Xiaodong Cao, Max Hallgren, Zachary Munro, Jason Snyder & Tom Stone, ATA 35 (2019), pp. 192-204.

The Intercritical Defocusing Nonlinear Schrödinger Equations with Radial Initial Data in Dimensions Four and Higher

by Chuanwei Gao, Changxing Miao & Jianwei Yang-Urbain, ATA 35 (2019), pp. 205-234.

KAM Theory for Partial Differential Equations

by Massimiliano Berti, ATA 35 (2019), pp. 235-267.

A Note on Weak Type $(1,1)$ Estimate for the Higher Order Commutators of Christ-Journé Type

by Yong Ding & Xudong Lai, ATA 35 (2019), pp. 268-287.

Comparison Principles for Some Fully Nonlinear Sub-Elliptic Equations on the Heisenberg Group

by Yanyan Li & Bo Wang, ATA 35 (2019), pp. 312-334.

Regularized Interpolation Driven by Total Variation

by Haim Brezis, ATA 35 (2019), pp. 335-354.

A Note on Existence of a Bound State for a Non-Autonomous Nonlinear Scalar Field Equation

by Liliane A. Maia & Elson L. Moura, ATA 35 (2019), pp. 355-376.

Rigidity of Minimizers in Nonlocal Phase Transitions II

by O. Savin, ATA 35 (2019), pp. 1-27.