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  1. Least Energy Solutions for Cooperative and Competitive Schrödinger Systems with Neumann Boundary Conditions
    2025/09/23 by Mauro, Simone, Schiera, Delia, Tavares, Hugo · 2 citations
    #35B33 #35B38 #35J47 #35J50 #35J57 #35J61 #Analysis of PDEs (math.AP) #FOS: Mathematics
  2. A Lane-Emden system of free boundary type: existence, uniqueness and monotonicity of solutions
    2025/08/03 by Bartolucci, Daniele, Hu, Yeyao, Jevnikar, Aleks +2 · 1 citation
    #35B30 #35B32 #35J57 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics
  3. Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
    2025/05/13 by Dimola, Nunzio, Franco, Nicola Rares, Zunino, Paolo · 2 citations
    #35J57 #65F08 #65N22 #65N30 #68T07 #FOS: Mathematics #G.1.3 #G.1.8 #I.2.6 #Numerical Analysis (math.NA)
  4. 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
  5. On the boundary branching set of the one-phase problem
    2024/07/21 by Ferreri, Lorenzo, Spolaor, Luca, Velichkov, Bozhidar · 4 citations
    #35J57 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. Boundary regularity of the free interface in spectral optimal partition problems
    2024/04/08 by Roberto Ognibene, Bozhidar Velichkov, Ognibene, Roberto +1 · 3 citations
    Computer Science · Mathematics · #35B40 #35J57 #35R35 #49Q10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Numerical methods in inverse problems
  7. Global regularity for nonlinear systems with symmetric gradients
    2023/10/26 by Behn, Linus, Diening, Lars · 1 citation
    #35B65 #35J57 #35J60 #74C05 #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. Least energy positive solutions of critical Schrödinger systems with mixed competition and cooperation terms: the higher dimensional case
    2021/09/29 by Tavares, Hugo, You, Song, Zou, Wenming · 3 citations
    #35B09 #35B33 #35J50 #35J57 #Analysis of PDEs (math.AP) #FOS: Mathematics
  9. Fully nonlinear dead-core systems
    2020/08/18 by Araújo, Damião J., Teymurazyan, Rafayel · 1 citation
    #35B53 #35B65 #35J47 #35J57 #35J60 #35J67 #Analysis of PDEs (math.AP) #FOS: Mathematics
  10. 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
  11. Existence of least energy positive solutions to Schrödinger systems with mixed competition and cooperation terms: the critical case
    2019/08/29 by Tavares, Hugo, You, Song · 1 citation
    #35B09 #35B33 #35J50 #35J57 #Analysis of PDEs (math.AP) #FOS: Mathematics
  12. Thin Film Liquid Crystals with Oblique Anchoring and Boojums
    2019/07/10 by Alama, Stan, Bronsard, Lia, Golovaty, Dmitry · 1 citation
    #35B25 #35B40 #35J50 #35J57 #35Q56 #Analysis of PDEs (math.AP) #FOS: Mathematics
  13. Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions
    2019/02/04 by Marcel Braukhoff, Johannes Lankeit, Braukhoff, Marcel +1 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Mathematics · #35A02 #35J57 #35Q92 #92C17 #Analysis of PDEs (math.AP) #Cellular Mechanics and Interactions #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth
  14. Degree counting theorems for singular Liouville systems
    2018/11/01 by Gu, Yi, Zhang, Lei · 1 citation
    #35B44 #35J57 #35J91 #35R01 #47H11 #Analysis of PDEs (math.AP) #FOS: Mathematics
  15. Homogenization for the Stokes equations in randomly perforated domains\n under almost minimal assumptions on the size of the holes
    2018/09/12 by Arianna Giunti, Richard M. Höfer, Giunti, Arianna +1 · 1 citation
    Computer Science · Engineering · Mathematics · #35B27 #35J15 #35J57 #60F15 #60G55 #76D07 #76M50 #76S05 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Numerical methods in inverse problems
  16. Homogenization for the Poisson equation in randomly perforated domains\n under minimal assumptions on the size of the holes
    2018/03/27 by Arianna Giunti, Richard M. Höfer, Giunti, Arianna +3 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Computer Science · #35B27 #35J15 #35J57 #60F15 #60G55 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Diffusion and Search Dynamics #FOS: Mathematics
  17. The Lp Dirichlet boundary problem for second order Elliptic Systems with rough coefficients
    2017/08/03 by Dindoš, Martin, Mitrea, Marius, Hwang, Sukjung · 1 citation
    #35J47 #35J57 #Analysis of PDEs (math.AP) #FOS: Mathematics
  18. The Dirichlet-to-Neumann operator on C(∂ Ω)
    2017/07/18 by Wolfgang Arendt, Arendt, W., A. F. M. ter Elst +1 · 1 citation
    Computer Science · Mathematics · #35J15 #35J57 #35K08 #47D06 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
  19. Solvability and regularity for an elliptic system prescribing the curl, divergence, and partial trace of a vector field on Sobolev-class domains
    2014/08/11 by Cheng, C. H. Arthur, Shkoller, Steve · 2 citations
    #35J57 #58A14 #Analysis of PDEs (math.AP) #FOS: Mathematics
  20. The Decoupled Potential Integral Equation for Time-Harmonic Electromagnetic Scattering
    2014/04/03 by Vico, Felipe, Greengard, Leslie, Ferrando, Miguel +1 · 1 citation
    #35J56 #35J57 #45B05 #65R20 #78A02 #78A25 #78A30 #78A45 #FOS: Physical sciences #Mathematical Physics (math-ph)
  21. On differential systems with strongly indefinite variational structure
    2014/03/02 by Batkam, Cyril J., Colin, Fabrice, Kaczynski, Tomasz · 2 citations
    #35B10 #35J45 #35J57 #35J60 #35K20 #47J30 #Analysis of PDEs (math.AP) #FOS: Mathematics
  22. Elliptic and parabolic reguarity for second order divergence operators with mixed boundary conditions
    2013/10/14 by Haller-Dintelmann, Robert, Jonsson, Alf, Knees, Dorothee +1 · 2 citations
    #35B65 #35J47 #35J57 #74B05 #Analysis of PDEs (math.AP) #FOS: Mathematics
  23. Lipschitz stability of an inverse boundary value problem for a Schrödinger type equation
    2012/03/07 by Beretta, Elena, de Hoop, Maarten V., Qiu, Lingyun · 1 citation
    #35J57 #35R30 #Analysis of PDEs (math.AP) #FOS: Mathematics