1. Regularity for Mixed Local and Nonlocal Degenerate Elliptic Equations in the Heisenberg Group
   2025/08/09 by Zhang, Junli, Niu, Pengcheng · 2 citations
   #35B65 #35D30 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35B45 #Secondary 35J92
2. Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations
   2025/08/04 by Nastasi, Antonella, Ayala, Emiliano Peña, Vestberg, Matias · 1 citation
   #35B51 #35B65 #35D30 #35K10 #35K61 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities
   2025/04/29 by Michael Winkler, Winkler, Michael · 1 citation
   Engineering · Mathematics · #35D30 #35L05 #74F05 #74H20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
4. The anisotropic Cahn--Hilliard equation with degenerate mobility: Existence of weak solutions
   2025/02/19 by Harald Garcke, Garcke, Harald, Patrik Knopf +3 · 1 citation
   Computer Science · Materials Science · Mathematics · #35D30 #35K55 #35K61 #74E10 #82C26 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Solidification and crystal growth phenomena
5. On a Brain Tumor Growth Model with Lactate Metabolism, Viscoelastic Effects, and Tissue Damage
   2025/02/04 by Giulia Cavalleri, Pierluigi Colli, Cavalleri, Giulia +5 · 2 citations
   Mathematics · #35B65 #35D30 #35K57 #35K61 #35Q92 #92C50 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth
6. Upwind filtering of scalar conservation laws
   2025/01/30 by Coclite, Giuseppe Maria, Karlsen, Kenneth Hvistendahl, Risebro, Nils Henrik · 2 citations
   #35B35 #35D30 #35L65 #Analysis of PDEs (math.AP) #FOS: Mathematics
7. Unified a-priori estimates for minimizers under p,q-growth and exponential growth
   2024/10/30 by Paolo Marcellini, Antonella Nastasi, Marcellini, Paolo +3 · 3 citations
   Computer Science · Mathematics · #35D30 #35J15 #35J60 #49N60 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Optimization and Variational Analysis
8. Weak-Strong Uniqueness Principle for Hamilton-Jacobi Equations
   2024/10/01 by Issa, Victor · 1 citation
   #35D30 #35D40 #35F21 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. Hypersonic flow onto a large curved wedge and the dissipation of shock wave
   2024/09/16 by Hu, Dian, Qu, Aifang · 2 citations
   #35B20 #35D30 #35L65 #35Q31 #76J20 #76L05 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics
10. The Weak Form Is Stronger Than You Think
    2024/09/10 by Messenger, Daniel A., Tran, April, Dukic, Vanja +1 · 4 citations
    #26A33 #35D30 #62FXX #62JXX #65L09 #65M32 #68Q32 #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #and Science (cs.CE)
11. Dynamics of measure-valued agents in the space of probabilities
    2024/07/08 by Borghi, Giacomo, Herty, Michael, Stavitskiy, Andrey · 2 citations
    #34G20 #35D30 #49Q22 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Sharp non-uniqueness for the 2D hyper-dissipative Navier-Stokes equations
    2024/07/09 by Lili Du, Du, Lili, Xinliang Li +1 · 1 citation
    Engineering · Mathematics · #35A02 #35D30 #76D05 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
13. Fine Boundary Regularity For The Fractional (p,q)-Laplacian
    2024/06/12 by Dhanya, R., Jana, Ritabrata, Kumar, Uttam +1 · 1 citation
    #35B65 #35D30 #35J60 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics
14. Non-diffusive neural network method for hyperbolic conservation laws
    2024/05/23 by Lorin, Emmanuel, Novruzi, Arian · 1 citation
    #35A35 #35D30 #35L02 #35L65 #65M55 #FOS: Mathematics #Numerical Analysis (math.NA)
15. Concavity and perturbed concavity for p-Laplace equations
    2024/05/08 by Gallo, Marco, Squassina, Marco · 1 citation
    #26B25 #35B09 #35B20 #35B99 #35D30 #35E10 #35J60 #35J62 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics
16. Convergence Rate of the Hypersonic Similarity for Two-Dimensional Steady Potential Flows with Large Data
    2024/05/07 by Chen, Gui-Qiang G., Kuang, Jie, Xiang, Wei +1 · 1 citation
    #35B07 #35B20 #35D30 #76J20 #76L99 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Pattern Formation and Solitons (nlin.PS)
17. Hölder regularity for degenerate parabolic double-phase equations
    2024/04/29 by Kim, Wontae, Moring, Kristian, Särkiö, Lauri · 3 citations
    #35D30 #35K65 #35K92 #Analysis of PDEs (math.AP) #FOS: Mathematics
18. The De Giorgi method for local and nonlocal systems
    2024/04/05 by Behn, Linus, Diening, Lars, Nowak, Simon +1 · 1 citation
    #35B45 #35B50 #35D30 #35J60 #35R09 #Analysis of PDEs (math.AP) #FOS: Mathematics
19. Weak solutions of Anisotropic (and crystalline) inverse mean curvature flow as limits of p-capacitary potentials
    2024/04/02 by Cabezas-Rivas, Esther, Moll, Salvador, Solera, Marcos · 2 citations
    #26B30 #35D30 #35J60 #35J75 #35N25 #53E10 #Analysis of PDEs (math.AP) #FOS: Mathematics
20. On the minimality of the Winterbottom shape
    2024/02/03 by Kholmatov, Shokhrukh Yu. · 1 citation
    #35A15 #35D30 #35D35 #49Q20 #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
21. On semipositone problems over ℝ^N for the fractional p-Laplace operator
    2024/01/30 by Biswas, Nirjan, Kumar, Rohit · 1 citation
    #35A15 #35B09 #35B65 #35D30 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics
22. Construction of fillings with prescribed Gaussian image and applications
    2024/01/19 by De Rosa, Antonio, Lei, Yucong, Young, Robert · 1 citation
    #35D30 #49Q05 #49Q15 #49Q20 #53A10 #53C23 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
23. Consistency of minimizing movements with smooth mean curvature flow of droplets with prescribed contact-angle in \mathbb R³
    2024/01/12 by Kholmatov, Shokhrukh · 1 citation
    #35A15 #35D30 #35D35 #49Q20 #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
24. Weak and Strong Solutions for A Fluid-Poroelastic-Structure Interaction via A Semigroup Approach
    2024/01/08 by Avalos, George, Gurvich, Elena, Webster, Justin T. · 4 citations
    #35D30 #35M13 #74F10 #76M30 #76S05 #Analysis of PDEs (math.AP) #FOS: Mathematics
25. Error Estimates for Systems of Nonlocal Balance Laws Modeling Dense Multilane Vehicular Traffic
    2023/12/28 by Aekta Aggarwal, Helge Holden, Aggarwal, Aekta +3 · 1 citation
    Mathematics · #35D30 #35L65 #65M12 #65M15 #65M25 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
26. Two-phase flows through porous media described by a Cahn--Hilliard--Brinkman model with dynamic boundary conditions
    2023/12/23 by Colli, Pierluigi, Knopf, Patrik, Schimperna, Giulio +1 · 4 citations
    #35B65 #35D30 #35K35 #35K86 #76D03 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
27. Gradient higher integrability for singular parabolic double-phase systems
    2023/10/11 by Kim, Wontae, Särkiö, Lauri · 5 citations
    #35D30 #35K55 #35K65 #Analysis of PDEs (math.AP) #FOS: Mathematics
28. On the well-posedness of the Cahn-Hilliard-Biot model and its applications to tumor growth
    2023/10/10 by Fritz, Marvin · 1 citation
    #35A01 #35A02 #35D30 #35Q92 #65M60 #Analysis of PDEs (math.AP) #FOS: Mathematics
29. Regularity for nonuniformly elliptic equations with p,q-growth and explicit x,u-dependence
    2023/09/27 by Cupini, Giovanni, Marcellini, Paolo, Mascolo, Elvira · 2 citations
    #35B45 #35D30 #35J15 #35J60 #49N60 #Analysis of PDEs (math.AP) #FOS: Mathematics
30. Well-posedness and error estimates for coupled systems of nonlocal conservation laws
    2023/08/02 by Aggarwal, Aekta, Holden, Helge, Vaidya, Ganesh · 2 citations
    #35D30 #35L65 #65M12 #65M15 #65M25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)

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