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  1. Comparison for semi-continuous viscosity solutions for second order PDEs on the Wasserstein space
    2025/04/25 by Erhan Bayraktar, Bayraktar, Erhan, Ibrahim Ekren +5 · 2 citations
    Decision Sciences · Economics, Econometrics and Finance · Mathematics · #58E30 #90C05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Optimization and Control (math.OC) #Probability (math.PR) #Risk and Portfolio Optimization #Stochastic processes and financial applications
  2. Viscosity Solutions of Fully second-order HJB Equations in the Wasserstein Space
    2025/01/03 by Bayraktar, Erhan, Cheung, Hang, Ekren, Ibrahim +3 · 3 citations
    #35B51 #35Q93 #49L25 #58E30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
  3. Nehari manifold optimization and its application for finding unstable solutions of semilinear elliptic PDEs
    2024/04/15 by Zhaoxing Chen, Wei Liu, Chen, Zhaoxing +5 · 2 citations
    Mathematics · #35B38 #58E30 #65K10 #65N12 #Advanced Mathematical Physics Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical Analysis (math.NA) #Numerical methods in inverse problems
  4. The existence of ground state solutions for nonlinear p-Laplacian equations on lattice graphs
    2023/10/12 by Hua, Bobo, Xu, Wendi · 1 citation
    #35Q55 #39A14 #58E30 #Analysis of PDEs (math.AP) #Combinatorics (math.CO) #FOS: Mathematics
  5. Comparison of viscosity solutions for a class of second order PDEs on the Wasserstein space
    2023/09/10 by Bayraktar, Erhan, Ekren, Ibrahim, Zhang, Xin · 4 citations
    #58E30 #90C05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
  6. The Lie derivative and Noether's theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators
    2023/07/16 by Laurent, Adrien · 1 citation
    #05C05 #37M15 #41A58 #58A12 #58E30 #58J10 #FOS: Mathematics #Numerical Analysis (math.NA)
  7. On a variational problem of nematic liquid crystal droplets
    2022/11/02 by Li, Qinfeng, Wang, Changyou · 1 citation
    #35J50 #58E20 #58E30 #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. A smooth variational principle on Wasserstein space
    2022/09/29 by Erhan Bayraktar, Bayraktar, Erhan, Ibrahim Ekren +3 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #58E30 #90C05 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Hidradenitis Suppurativa and Treatments #Inflammasome and immune disorders #Optimization and Control (math.OC) #Probability (math.PR)
  9. Solutions to indefinite weakly coupled cooperative elliptic systems
    2020/03/27 by Clapp, Mónica, Szulkin, Andrzej · 2 citations
    #35B33 #35J50 #35J57 #58E30 #Analysis of PDEs (math.AP) #FOS: Mathematics
  10. Estimating processes in adapted Wasserstein distance
    2020/02/17 by Backhoff, Julio, Bartl, Daniel, Beiglböck, Mathias +1 · 3 citations
    #58E30 #60G42 #90C46 #FOS: Mathematics #Probability (math.PR) #Statistics Theory (math.ST)
  11. A logarithmic Schrödinger equation with asymptotic conditions on the potential
    2015/10/05 by Ji, Chao, Szulkin, Andrzej · 1 citation
    #35J20 #35Q40 #58E30 #Analysis of PDEs (math.AP) #FOS: Mathematics
  12. Stochastic variational principles for dissipative equations with advected quantities
    2015/06/16 by Chen, Xin, Cruzeiro, Ana Bela, Ratiu, Tudor S. · 1 citation
    #35Q35 #58E30 #58J65 #70H30 #76M35 #FOS: Physical sciences #Mathematical Physics (math-ph)
  13. NLS ground states on graphs
    2014/06/16 by Riccardo Adami, Enrico Serra, Adami, Riccardo +3 · 6 citations
    Materials Science · Mathematics · Physics and Astronomy · #35Q55 #35R02 #49J40 #58E30 #81Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Magnetism in coordination complexes #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics
  14. A discrete uniformization theorem for polyhedral surfaces II
    2014/01/18 by Gu, Xianfeng, Guo, Ren, Luo, Feng +2 · 4 citations
    #52C26 #53C44 #58E30 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG)
  15. Deep Gaussian Processes
    2012/11/02 by Andreas Damianou, Damianou, Andreas C., Neil D. Lawrence +1 · 28 citations
    Computer Science · #58E30 #60G15 #FOS: Computer and information sciences #FOS: Mathematics #G.1.2 #G.3 #Gaussian Processes and Bayesian Inference #Generative Adversarial Networks and Image Synthesis #I.2.6 #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Data Classification #Probability (math.PR)
  16. Conformally Invariant Variational Problems
    2012/06/11 by Rivière, Tristan · 1 citation
    #30C70 #35J15 #35J35 #35J48 #35J50 #35R01 #49Q05 #49Q10 #53A30 #58E20 #58E30 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  17. Sequences of Smooth Global Isothermic Immersions
    2012/02/06 by Rivière, Tristan · 1 citation
    #30C70 #35J35 #35J48 #35J50 #35L51 #35L65 #35R01 #49Q10 #53A30 #58E30 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  18. Variational Gaussian Process Dynamical Systems
    2011/07/25 by Damianou, Andreas C., Titsias, Michalis K., Lawrence, Neil D. · 2 citations
    #58E30 #60G15 (Primary) #62-09 #Artificial Intelligence (cs.AI) #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #G.1.2 #G.3 #I.2.6 #I.5.4 #Machine Learning (stat.ML) #Probability (math.PR)
  19. Energy Quantization for Willmore Surfaces and Applications
    2011/06/19 by Bernard, Yann, Rivière, Tristan · 2 citations
    #30C70 #35J35 #35J48 #35J50 #35R01 #49Q10 #53A30 #58E15 #58E30 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  20. Variational Principles for immersed Surfaces with L2-bounded Second\n Fundamental Form
    2010/07/18 by Tristan Rivière, Rivière, Tristan · 2 citations
    Computer Science · Mathematics · #30C70 #35J35 #35J48 #35J50 #35R01 #49Q10 #53A30 #58E15 #58E30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
  21. Smooth Approximation of Lipschitz functions on Riemannian manifolds
    2006/02/02 by Azagra, D., Ferrera, J., Lopez-Mesas, F. +1 · 2 citations
    #46T05 #53C20 #58B20 #58E30 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA)