Articles

1. Traveling waves and effective mass for the regularized Landau-Pekar equations

   • Simone Rademacher

   OriginalPaper Open access 26 April 2024 Article: 121

2. Existence and multiplicity of nontrivial solutions to a class of elliptic Kirchhoff-Boussinesq type problems

   • Romulo D. Carlos
   • Giovany M. Figueiredo

   OriginalPaper 26 April 2024 Article: 120

3. Nodal cluster solutions for the Brezis–Nirenberg problem in dimensions \(N\ge 7\)

   • Monica Musso
   • Serena Rocci
   • Giusi Vaira

   OriginalPaper Open access 26 April 2024 Article: 119

4. Minimal graphs in Riemannian spaces

   • Friedrich Sauvigny

   OriginalPaper Open access 26 April 2024 Article: 118

5. Fractional integration and optimal estimates for elliptic systems

   • Felipe Hernandez
   • Daniel Spector

   OriginalPaper Open access 26 April 2024 Article: 117

   

6. Dirichlet problem for a class of nonlinear degenerate elliptic operators with critical growth and logarithmic perturbation

   • Hua Chen
   • Xin Liao
   • Ming Zhang

   OriginalPaper 26 April 2024 Article: 116

7. Scattering and rigidity for nonlinear elastic waves

   • Dongbing Zha

   OriginalPaper 26 April 2024 Article: 115

8. Gamma-convergence of a nonlocal perimeter arising in adversarial machine learning

   • Leon Bungert
   • Kerrek Stinson

   OriginalPaper Open access 26 April 2024 Article: 114

9. Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces

   • Yifeng Meng
   • Kui Wang

   OriginalPaper 26 April 2024 Article: 113

10. Global dynamics of large solution for the compressible Navier–Stokes–Korteweg equations

    • Zihao Song

    OriginalPaper 26 April 2024 Article: 112

    

11. The avoidance principle for noncompact hypersurfaces moving by mean curvature flow

    • Brian White

    OriginalPaper 26 April 2024 Article: 111

12. Sobolev inequalities in manifolds with asymptotically nonnegative curvature

    • Yuxin Dong
    • Hezi Lin
    • Lingen Lu

    OriginalPaper 17 April 2024 Article: 110

13. Inverse mean curvature flow with a free boundary in hyperbolic space

    • Xiaoxiang Chai

    OriginalPaper 17 April 2024 Article: 109

14. Existence and asymptotic behavior for \(L^2\)-norm preserving nonlinear heat equations

    • Paolo Antonelli
    • Piermarco Cannarsa
    • Boris Shakarov

    OriginalPaper Open access 17 April 2024 Article: 108

15. Extension of convex functions from a hyperplane to a half-space

    • John M. Ball
    • Christopher L. Horner

    OriginalPaper Open access 17 April 2024 Article: 107

16. A comparison principle for semilinear Hamilton–Jacobi–Bellman equations in the Wasserstein space

    • Samuel Daudin
    • Benjamin Seeger

    OriginalPaper 13 April 2024 Article: 106

17. Partial regularity for degenerate parabolic systems with general growth via caloric approximations

    • Jihoon Ok
    • Giovanni Scilla
    • Bianca Stroffolini

    OriginalPaper 13 April 2024 Article: 105

18. Sharp uncertainty principles on metric measure spaces

    • Bang-Xian Han
    • Zhe-Feng Xu

    OriginalPaper 13 April 2024 Article: 104

    

19. Existence of energy-variational solutions to hyperbolic conservation laws

    • Thomas Eiter
    • Robert Lasarzik

    OriginalPaper Open access 13 April 2024 Article: 103

20. Sharp uniform bound for the quaternionic Monge-Ampère equation on hyperhermitian manifolds

    • Marcin Sroka

    OriginalPaper Open access 13 April 2024 Article: 102

21. Quantitative stability of harmonic maps from \({\mathbb {R}}^2\) to \({\mathbb {S}}^2\) with a higher degree

    • Bin Deng
    • Liming Sun
    • Jun-cheng Wei

    OriginalPaper 13 April 2024 Article: 101

    

22. Nonlocal approximation of nonlinear diffusion equations

    • José Antonio Carrillo
    • Antonio Esposito
    • Jeremy Sheung-Him Wu

    OriginalPaper Open access 13 April 2024 Article: 100

23. Normalized solutions for Schrödinger equations with potentials and general nonlinearities

    • Yanyan Liu
    • Leiga Zhao

    OriginalPaper 13 April 2024 Article: 99

24. Non-degeneracy of solution for critical Lane–Emden systems with linear perturbation

    • Yuxia Guo
    • Yichen Hu
    • Shaolong Peng

    OriginalPaper 10 April 2024 Article: 98

25. On the equilibrium shape of a crystal

    • Emanuel Indrei

    OriginalPaper 10 April 2024 Article: 97

    

26. Existence and stability of shrinkers for the harmonic map heat flow in higher dimensions

    • Irfan Glogić
    • Sarah Kistner
    • Birgit Schörkhuber

    OriginalPaper Open access 10 April 2024 Article: 96

27. Trudinger–Moser and Hardy–Trudinger–Moser inequalities for the Aharonov–Bohm magnetic field

    • Guozhen Lu
    • Qiaohua Yang

    OriginalPaper 10 April 2024 Article: 95

28. Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility

    • Helmut Abels
    • Mingwen Fei
    • Maximilian Moser

    OriginalPaper Open access 09 April 2024 Article: 94

29. Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure

    • Marin Bužančić
    • Elisa Davoli
    • Igor Velčić

    OriginalPaper 09 April 2024 Article: 93

30. Classical Solutions of Rayleigh–Taylor instability for inhomogeneous incompressible viscous fluids in bounded domains

    • Fei Jiang
    • Youyi Zhao

    OriginalPaper 06 April 2024 Article: 92

31. Smooth approximation of Lipschitz domains, weak curvatures and isocapacitary estimates

    • Carlo Alberto Antonini

    OriginalPaper Open access 05 April 2024 Article: 91

    

32. Nonrelativistic limit of normalized solutions to a class of nonlinear Dirac equations

    • Pan Chen
    • Yanheng Ding
    • Hua-Yang Wang

    OriginalPaper 05 April 2024 Article: 90

    

33. Monge–Ampère operators and valuations

    • Jonas Knoerr

    OriginalPaper 04 April 2024 Article: 89

34. Curvature estimates for a class of Hessian quotient type curvature equations

    • Jundong Zhou

    OriginalPaper 04 April 2024 Article: 88

35. Geometric linearisation for optimal transport with strongly p-convex cost

    • Lukas Koch

    OriginalPaper Open access 04 April 2024 Article: 87

    

36. Manifolds for which Huber’s Theorem holds

    • Yuxiang Li
    • Zihao Wang

    OriginalPaper 04 April 2024 Article: 86

    

37. Subgradient estimates for a nonlinear subparabolic equation on complete pseudo-Hermitian manifolds

    • Wenjing Wu

    OriginalPaper 04 April 2024 Article: 85

38. Solenoidal improvement of Rellich-Hardy inequalities with power weights

    • Naoki Hamamoto

    OriginalPaper 04 April 2024 Article: 84

39. Nonuniqueness of solutions to the \(L_p\) chord Minkowski problem

    • Yuanyuan Li

    OriginalPaper 04 April 2024 Article: 83

40. Sharp anisotropic singular Trudinger–Moser inequalities in the entire space

    • Kaiwen Guo
    • Yanjun Liu

    OriginalPaper 04 April 2024 Article: 82

41. Topological degree for Chern–Simons Higgs models on finite graphs

    • Jiayu Li
    • Linlin Sun
    • Yunyan Yang

    OriginalPaper 04 April 2024 Article: 81

42. Higher differentiability and integrability for some nonlinear elliptic systems with growth coefficients in BMO

    • Gioconda Moscariello
    • Giulio Pascale

    OriginalPaper Open access 04 April 2024 Article: 80

43. Monotonicity of Steklov eigenvalues on graphs and applications

    • Chengjie Yu
    • Yingtao Yu

    OriginalPaper 21 March 2024 Article: 79

44. Riemannian metrics with prescribed volume and finite parts of Dirichlet spectrum

    • Xiang He
    • Zuoqin Wang

    OriginalPaper 21 March 2024 Article: 78

    

45. Asymptotic behaviour of solutions to the anisotropic doubly critical equation

    • Francesco Esposito
    • Luigi Montoro
    • Domenico Vuono

    OriginalPaper Open access 15 March 2024 Article: 77

46. Magneto-micropolar boundary layers theory in Sobolev spaces without monotonicity: well-posedness and convergence theory

    • Xue-yun Lin
    • Cheng-jie Liu
    • Ting Zhang

    OriginalPaper 14 March 2024 Article: 76

    

47. On the hydrostatic Navier–Stokes equations with Gevrey class 2 data

    • Marius Paicu
    • Tianyuan Yu
    • Ning Zhu

    OriginalPaper 14 March 2024 Article: 75

48. The Dirichlet problem for Lévy-stable operators with \(L^2\)-data

    • Florian Grube
    • Thorben Hensiek
    • Waldemar Schefer

    OriginalPaper Open access 07 March 2024 Article: 74

    

49. Towards existence theorems to affine p-Laplace equations via variational approach

    • Edir Júnior Ferreira Leite
    • Marcos Montenegro

    OriginalPaper 07 March 2024 Article: 73

50. A homogenization result in finite plasticity

    • Elisa Davoli
    • Chiara Gavioli
    • Valerio Pagliari

    OriginalPaper Open access 07 March 2024 Article: 72