1. The focusing energy-critical nonlinear Schrödinger system with power-type growth nonlinearities in the radial case
   2025/07/03 by Farah, Luiz Gustavo, Hespanha, Maicon · 2 citations
   #35B44 #35P25 #35Q44 #Analysis of PDEs (math.AP) #FOS: Mathematics
2. Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions
   2025/05/30 by Pistoia, Angela, Rago, Giuseppe Mario, Vaira, Giusi · 3 citations
   #35B33 #35B44 #35J25 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Global and nonglobal solutions for a mixed local-nonlocal heat equation
   2025/05/26 by Carhuas, Brandon, Castillo, Ricardo, Freire, Ricardo +2 · 2 citations
   #35A01 #35B44 #35K57 #35K58 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics
4. Fujita-type results for the semilinear heat equations driven by mixed local-nonlocal operators
   2025/02/28 by Kumar, Vishvesh, Torebek, Berikbol T. · 4 citations
   #35A01 #35B33 #35B44 #35K58 #Analysis of PDEs (math.AP) #FOS: Mathematics
5. Prescribing curvatures on surfaces with conical singularities and corners
   2025/02/21 by Battaglia, Luca, Reyes-Sanchez, Francisco Javier · 1 citation
   #35B44 #35J20 #53A30 #58J32 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
6. Refined blow-up behavior for reaction-diffusion equations with non scale invariant exponential nonlinearities
   2025/02/10 by Loth Damagui Chabi, Chabi, Loth Damagui · 1 citation
   Engineering · Mathematics · #35B40 #35B44 #35K58 #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
7. Dichotomy Results for the Electromagnetic Schrödinger Equation
   2024/12/28 by Czubak, Magdalena, Miller, Ian, Roudenko, Svetlana · 1 citation
   #35A01 #35B44 #35Q55 #35Q60 #Analysis of PDEs (math.AP) #FOS: Mathematics
8. The Dirichlet problem on lower dimensional boundaries: Schauder estimates via perforated domains
   2024/12/15 by Gabriele Fioravanti, Fioravanti, Gabriele · 1 citation
   Computer Science · Mathematics · #35B44 #35B53 (secondary) #35B65 (primary) #35J25 #35J75 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
9. Compactness results for Sign-Changing Solutions of critical nonlinear elliptic equations of low energy
   2024/12/01 by Cheikh-Ali, Hussein, Premoselli, Bruno · 3 citations
   #35B33 #35B40 #35B44 #35B45 #35J57 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics
10. A Non-Conservative, Non-Local Approximation of the Burgers Equation
    2024/10/22 by Shyam Sundar Ghoshal, Ghoshal, Shyam Sundar, Venkatesh, Parasuram +2 · 1 citation
    Engineering · Mathematics · #35B44 #35B65 #35L03 (Secondary) #35L65 #35L67 (Primary) 35D30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena
11. Blow-up dynamics for radial self-dual Chern-Simons-Schrödinger equation with prescribed asymptotic profile
    2024/09/20 by Kim, Kihyun, Kwon, Soonsik, Oh, Sung-Jin · 1 citation
    #35B44 #35Q55 #37K40 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Gradient estimates for the conductivity problem with imperfect bonding interfaces
    2024/09/09 by Hongjie Dong, Zhuolun Yang, Dong, Hongjie +3 · 2 citations
    Computer Science · Engineering · Mathematics · #35B44 #35J25 #35Q74 #74E30 #74G70 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Numerical methods in inverse problems
13. Attaining the optimal constant for higher-order Sobolev inequalities on manifolds via asymptotic analysis
    2024/08/17 by Lorenzo Carletti, Carletti, Lorenzo · 1 citation
    Engineering · Mathematics · #35B33 #35B44 #35G20 #35J30 #46E35 #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Metallurgy and Material Forming #Numerical methods in inverse problems
14. New solutions for the Lane-Emden problem on planar domains
    2024/07/22 by Battaglia, Luca, Ianni, Isabella, Pistoia, Angela · 1 citation
    #35B40 #35B44 #35J25 #Analysis of PDEs (math.AP) #FOS: Mathematics
15. Blow-up of solutions to semilinear wave equations with spatial derivatives
    2024/06/04 by Shao, Kerun, Takamura, Hiroyuki, Wang, Chengbo · 2 citations
    #35B30 #35B33 #35B44 #35L05 #35L71 #Analysis of PDEs (math.AP) #FOS: Mathematics
16. Blow-Up Dynamics for the L² critical case of the 2D Zakharov-Kuznetsov equation
    2024/06/03 by Bozgan, Francisc, Ghoul, Tej-Eddine, Masmoudi, Nader +1 · 2 citations
    #35B33 #35B44 #35C08 #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics
17. Regularity for nonlocal equations with local Neumann boundary conditions
    2024/03/26 by Ros-Oton, Xavier, Weidner, Marvin · 2 citations
    #31B05 #35B44 #35B65 #35R53 #47G20 #Analysis of PDEs (math.AP) #FOS: Mathematics
18. Global existence and lower bounds in a class of tumor-immune cell interactions chemotaxis systems
    2024/02/26 by Gnanasekaran, Shanmugasundaram, Columbu, Alessandro, Fuentes, Rafael Díaz +1 · 1 citation
    #35A01 #35A09 #35B44 #92C17 (Primary) 65N06 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics
19. On the locally self-similar blowup for the generalized SQG equation
    2024/01/19 by Anne C. Bronzi, Bronzi, Anne, Ricardo Guimarães +3 · 1 citation
    Mathematics · #35B44 #35C06 #35Q35 #35Q86 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions
20. Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order
    2024/01/12 by Dasgupta, Aparajita, Kumar, Vishvesh, Mondal, Shyam Swarup +1 · 1 citation
    #35A01 #35B44 #35L71 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 43A80 #Secondary 35B33
21. Almost sure global well-posedness for 3D Euler equation and other fluid dynamics models
    2023/12/30 by Foldes, Juraj, Sy, Mouhamadou · 1 citation
    #35B40 #35B44 #35B65 #35Q31 #35Q35 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
22. A new p-harmonic map flow with Struwe monotonicity
    2023/08/30 by Hupp, Erik, Miśkiewicz, Michał · 1 citation
    #35B44 #35K92 #53E99 #Analysis of PDEs (math.AP) #FOS: Mathematics
23. Uniqueness and root-Lipschitz regularity for a degenerate heat equation
    2023/08/22 by Dunlap, Alexander, Graham, Cole · 1 citation
    #35B44 #35B53 #35B65 (Primary) #35K59 #60H10 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
24. Reaction-diffusion equations with transport noise and critical superlinear diffusion: Global well-posedness of weakly dissipative systems
    2023/01/17 by Agresti, Antonio, Veraar, Mark · 1 citation
    #35A01 #35B44 #35B65 #35K90 #35R60 #42B37 #58D25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Primary: 35K57 #Probability (math.PR) #Secondary: 60H15
25. Segregated solutions for nonlinear Schrödinger systems with a large number of components
    2022/12/28 by Haixia Chen, Chen, Haixia, Angela Pistoia +1 · 2 citations
    Mathematics · #35B33 (secondary) #35B44 #35J47 (primary) #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
26. Blow-up for a fully fractional heat equation
    2022/12/20 by Ferreira, Raúl, de Pablo, Arturo · 2 citations
    #26A33 #35B44 #35R09 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics
27. From concentration to quantitative regularity: a short survey of recent developments for the Navier-Stokes equations
    2022/11/29 by Barker, Tobias, Prange, Christophe · 3 citations
    #35A99 #35B44 #35B65 #35Q30 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics
28. Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity
    2022/09/29 by Antonio Agresti, Agresti, Antonio, Mark Veraar +1 · 2 citations
    Engineering · Mathematics · Medicine · #35A01 #35B44 #35K57 #35K90 #35R60 #58D25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Primary 60H15 #Probability (math.PR) #Secondary: 35B65 #Stability and Controllability of Differential Equations
29. Blow-up or Grow-up for the threshold solutions to the nonlinear Schrödinger equation
    2022/09/11 by Gustafson, Stephen, Inui, Takahisa · 1 citation
    #35B44 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
30. The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg Group
    2022/07/08 by Borikhanov, Meiirkhan B., Ruzhansky, Michael, Torebek, Berikbol T. · 1 citation
    #35B33 #35B44 #35B51 #35R03 #Analysis of PDEs (math.AP) #FOS: Mathematics

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