Partial Differential Equations and Applications
2020 - 2025
Current editor(s): Zhitao Zhang From Springer Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing (). Access Statistics for this journal.
Is something missing from the series or not right? See the RePEc data check for the archive and series.
Volume 6, issue 3, 2025
- Longtime behavior of a free boundary model with nonlocal diffusion in online social networks pp. 1-26

- Phuong Le
- On the well-posedness of the periodic fractional Schrödinger equation pp. 1-28

- Beckett Sanchez, Oscar Riaño and Svetlana Roudenko
- The existence of $$L^2$$ L 2 -constrained solutions for Kirchhoff equations with $$L^2$$ L 2 -critical general nonlinearity pp. 1-25

- Hongyu Ye and Jiahui Yin
- A zero-sum differential game for two opponent masses pp. 1-23

- Fabio Bagagiolo, Rossana Capuani and Luciano Marzufero
- Asymptotic behavior for the dissipative nonlinear Schrödinger equations under mass supercritical setting pp. 1-14

- Gaku Hoshino
- Multiplicity of solutions for a nonlinear Schrödinger system with three wave interaction pp. 1-14

- Tomoharu Kinoshita and Yuki Osada
Volume 6, issue 2, 2025
- Convergence of one-dimensional stationary mean field games with vanishing potential pp. 1-16

- Yiru Cai, Haobo Qi, Xifeng Su and Yi Tan
- Degenerate free boundary problems with oscillatory singularities pp. 1-16

- Aelson Sobral, Eduardo V. Teixeira and José Miguel Urbano
- Norm inflation for a higher-order nonlinear Schrödinger equation with a derivative on the circle pp. 1-14

- Toshiki Kondo and Mamoru Okamoto
- Multiple solutions for superlinear fractional p-Laplacian equations pp. 1-20

- Antonio Iannizzotto, Vasile Staicu and Vincenzo Vespri
- On the sharp constants in the regional fractional Sobolev inequalities pp. 1-20

- Rupert L. Frank, Tianling Jin and Wei Wang
- Adaptive sensitivity control for a feedback loop and a consensus model with unknown delay pp. 1-20

- Jan Haskovec
- A second-order Mean Field Games model with controlled diffusion pp. 1-34

- Vincenzo Ignazio and Michele Ricciardi
- Regular solution to hyperbolic boundary value problems without regularization pp. 1-38

- Antoine Benoit
Volume 6, issue 1, 2025
- Instability of stationary solutions for double power nonlinear Schrödinger equations in one dimension pp. 1-23

- Noriyoshi Fukaya and Masayuki Hayashi
- Modeling and mathematical analysis of the clogging phenomenon in filtration filters installed in aquaria pp. 1-71

- Ken Furukawa and Hiroyuki Kitahata
- Vlasov equations on directed hypergraph measures pp. 1-49

- Christian Kuehn and Chuang Xu
- A uniqueness result for the d-dimensional magnetohydrodynamics equations with fractional dissipation in Besov spaces pp. 1-27

- Hua Qiu, Xia Wang and Zheng-an Yao
- Existence and stability of near-constant solutions of variable-coefficient scalar field equations pp. 1-28

- Mashael Alammari and Stanley Snelson
- Singular elliptic PDEs: an extensive overview pp. 1-82

- Francescantonio Oliva and Francesco Petitta
- On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis pp. 1-31

- Simone Fagioli, Emanuela Radici and Licia Romagnoli
- Axially symmetric Willmore minimizers with prescribed isoperimetric ratio pp. 1-60

- Jan-Henrik Metsch
- A construction of peak solutions by a local mountain pass approach for a nonlinear Schrödinger system with three wave interaction pp. 1-26

- Yuki Osada and Yohei Sato
Volume 5, issue 6, 2024
- Regularizing effect of lower order terms in nonlinear Dirichlet problems with singularity pp. 1-19

- Abdelaaziz Sbai, Youssef El Hadfi and Mounim El Ouardy
- Solvability of a semilinear parabolic equation on Riemannian manifolds pp. 1-22

- Xinran Wei and Mengmeng Zhang
- Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations pp. 1-47

- Christian Beck, Lukas Gonon and Arnulf Jentzen
- Non linear singular drifts and fractional operators pp. 1-39

- Diego Chamorro and Stéphane Menozzi
- Travelling waves for discrete stochastic bistable equations pp. 1-23

- Carina Geldhauser and Christian Kuehn
Volume 5, issue 5, 2024
- Positive solutions of nonlinear elliptic equations involving unbounded variable exponents and convection term pp. 1-15

- Anderson Araujo, Luiz Faria and Dumitru Motreanu
- Stability analysis for the anisotropic curve shortening flow of planar networks pp. 1-42

- Michael Gößwein, Matteo Novaga and Paola Pozzi
- New instability, blow-up and break-down effects for Sobolev-type evolution PDE: asymptotic analysis for a celebrated pseudo-parabolic model on the quarter-plane pp. 1-45

- Andreas Chatziafratis and Tohru Ozawa
- The point scatterer approximation for wave dynamics pp. 1-30

- Andrea Mantile and Andrea Posilicano
- Remark on the uniqueness of the mild solution of SQG equation pp. 1-9

- Tsukasa Iwabuchi and Ryoma Ueda
Volume 5, issue 4, 2024
- On global $$W^{2,\delta }$$ W 2, δ estimates for the Monge–Ampère equation on general bounded convex domains pp. 1-10

- Nam Q. Le
- Notes on asymptotic behavior of radial solutions for some weighted elliptic equations on the annulus pp. 1-15

- Futoshi Takahashi
- A Lipschitz metric for $$\alpha $$ α -dissipative solutions to the Hunter–Saxton equation pp. 1-33

- Katrin Grunert and Matthew Tandy
- Global weak solutions to a phase-field model for seawater solidification with melt convection pp. 1-17

- Md Akram Hossain and Li Ma
- Uniqueness of continuation for semilinear elliptic equations pp. 1-14

- Mourad Choulli
- Parameter analysis in continuous data assimilation for three-dimensional Brinkman–Forchheimer-extended Darcy model pp. 1-32

- Débora A. F. Albanez and Maicon José Benvenutti
Volume 5, issue 3, 2024
- Two-scale convergence of a class of r-forms: rewriting of periodic homogenization of Maxwell’s equations pp. 1-29

- Alphonse Mba, Marcial Nguemfouo and Hubert Nnang
- Global $$L^\infty $$ L ∞ -estimate for general quasilinear elliptic equations in arbitrary domains of $${{\mathbb {R}}}^N$$ R N pp. 1-15

- Siegfried Carl and Hossein Tehrani
- Cancellation properties and unconditional well-posedness for the fifth order KdV type equations with periodic boundary condition pp. 1-55

- Takamori Kato and Kotaro Tsugawa
- Bifurcations and dynamical behaviors for a generalized delayed-diffusive Maginu model pp. 1-21

- Xiaowei Ju
- An MP-Newton method for finding orthogonal-max type critical points and its application for calculating multiple solutions of semilinear elliptic equations: part I—method pp. 1-26

- Xudong Yao
- On the existence, regularity and uniqueness of $$L^p$$ L p -solutions to the steady-state 3D Boussinesq system in the whole space and with gravity acceleration pp. 1-30

- Oscar Jarrín
- On local decay of inflaton and axion fields pp. 1-30

- Matías Morales and Claudio Muñoz
- Continuity estimates for Riesz potentials on polygonal boundaries pp. 1-20

- Xavier Claeys, Muhammad Hassan and Benjamin Stamm
- Multi-phase k-quadrature domains and applications to acoustic waves and magnetic fields pp. 1-28

- Pu-Zhao Kow and Henrik Shahgholian
- Existence of positive solutions for a p-Schrödinger–Kirchhoff integro-differential equation with critical growth pp. 1-31

- Juan Mayorga-Zambrano and Henry Cumbal-López
Volume 5, issue 2, 2024
- Existence and multiplicity of solutions for a locally coercive elliptic equation pp. 1-15

- David Arcoya, Francisco Odair Paiva and José M. Mendoza
- Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials pp. 1-18

- Alexander Dicke, Albrecht Seelmann and Ivan Veselić
- Existence of solutions for superquadratic or asymptotically quadratic fractional Hamiltonian systems pp. 1-19

- Mohsen Timoumi
- Scattering problems for the wave equation in 1D: D’Alembert-type representations and a reconstruction method pp. 1-25

- Konstantinos Kalimeris and Leonidas Mindrinos
- Energy decay analysis for Porous elastic system with microtemperature: Classical vs second spectrum approach pp. 1-28

- Hamza Zougheib, Toufic El Arwadi, Mohammad El-Hindi and Abdelaziz Soufyane
Volume 5, issue 1, 2024
- Hamilton and Li–Yau type gradient estimates for a weighted nonlinear parabolic equation under a super Perelman–Ricci flow pp. 1-38

- Ali Taheri and Vahideh Vahidifar
- Uniform convergence for linear elastostatic systems with periodic high contrast inclusions pp. 1-39

- Xin Fu and Wenjia Jing
- Hyper-reduction for parametrized transport dominated problems via adaptive reduced meshes pp. 1-19

- Sara Grundel and Neeraj Sarna
- Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph pp. 1-36

- Masaru Hamano, Masahiro Ikeda, Takahisa Inui and Ikkei Shimizu
| |