Partial Differential Equations and Applications

2020 - 2025

Current editor(s): Zhitao Zhang

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Skyrmions in two dimensional cholesteric liquid crystals pp. 1-21: Carlo Greco
Sign-changing solutions for a perturbed biharmonic equation with critical exponent pp. 1-21: Rabeh Ghoudi and Moufida Lahrach
Stability and large-time behavior for the 2D Boussinesq system with vertical dissipation and horizontal thermal diffusion pp. 1-44: Oussama Ben Said and Mona Ben Said
Classical solutions for a class of Euler equations of ideal gas dynamics pp. 1-13: Svetlin G. Georgiev and Gal Davidi
Transverse linear stability of line solitons for 2D Toda pp. 1-31: Tetsu Mizumachi
Large-time existence results for the nonlocal NLS around ground state solutions pp. 1-23: Hideo Takaoka and Toshihiro Tamaki
Rigidity for the non self-dual Chern–Simons–Schrödinger equation at the level of the soliton pp. 1-34: Benjamin Dodson
A singular perturbation problem governed by the normalized $$p(x)$$ p ( x ) -Laplacian operator pp. 1-34: João Vitor Silva and Víctor A. B. Viloria
Semi-waves for delayed fisher-KPP equations without quasimonotonicity pp. 1-32: Hirofumi Izuhara, Harunori Monobe, Yong-Jie Syu and Chang-Hong Wu
Horizontal harmonic maps between finsler manifolds pp. 1-22: Qun Chen and Haowei Lin
Global analytic solution to the IVP for the BBM equation posed on $$\mathbb {R}$$ R and $$\mathbb {T}$$ T pp. 1-26: Mikaela Baldasso and Mahendra Panthee

On the asymptotic stability of ground states of the pure power NLS on the line at 3rd and 4th order Fermi Golden Rule pp. 1-42: Scipio Cuccagna and Masaya Maeda
Existence of ground state solutions for the critical case of Berestycki-Lions’ theorem pp. 1-26: Shinji Adachi and Tatsuya Watanabe
Large time asymptotics for the fractional Schrödinger equation with subcritical derivative nonlinearities pp. 1-22: Nakao Hayashi and Pavel I. Naumkin
Gradient regularity for widely degenerate elliptic partial differential equations pp. 1-51: Michael Strunk

On Schrödinger equation with square and inverse-square potentials pp. 1-11: Atsuhide Ishida and Masaki Kawamoto
Local and global solutions to Stokes-Magneto equations with fractional dissipations pp. 1-23: Hantaek Bae, Hyunwoo Kwon and Jaeyong Shin
Fractional Sobolev spaces for the singular-perturbed Laplace operator in the $$L^p$$ L p setting pp. 1-40: Vladimir Georgiev and Mario Rastrelli
On the regularity of Dirac eigenfunctions pp. 1-18: Tuyen Vu
New results for a class of quasilinear Schrödinger equations pp. 1-18: Taib Talbi
Speckle noise removal in color images using a generalized nonstandard fourth-order variational method pp. 1-30: Badreddine Rjaibi and Didier Auroux
Correction to “The unique continuation property for second order evolution PDEs” [Partial Differ. Equ. Appl. 2, 67 (2021), 46 p] with additional comments pp. 1-8: Mourad Choulli
Multiplicity results for a nonlocal system with critical growth pp. 1-15: Jeziel N. Correia and Claudionei P. Oliveira
Existence and uniqueness of large solutions of a degenerate and/or singular semilinear elliptic problem pp. 1-17: Raj Narayan Dhara
Partial classification of the large-time behavior of solutions to cubic nonlinear Schrödinger systems pp. 1-52: Satoshi Masaki

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
On the well-posedness of the periodic fractional Schrödinger equation pp. 1-28: Beckett Sanchez, Oscar Riaño and Svetlana Roudenko
Bifurcations and dynamical behaviors for a generalized Maginu model with distributed delay pp. 1-24: Xiaowei Ju
Classification of weak and unbounded traveling wave solutions for a Porous–Fisher-KPP equation pp. 1-24: Yu Ichida
A zero-sum differential game for two opponent masses pp. 1-23: Fabio Bagagiolo, Rossana Capuani and Luciano Marzufero
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
Longtime behavior of a free boundary model with nonlocal diffusion in online social networks pp. 1-26: Phuong Le

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
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
Regular solution to hyperbolic boundary value problems without regularization pp. 1-38: Antoine Benoit
Norm inflation for a higher-order nonlinear Schrödinger equation with a derivative on the circle pp. 1-14: Toshiki Kondo and Mamoru Okamoto
A second-order Mean Field Games model with controlled diffusion pp. 1-34: Vincenzo Ignazio and Michele Ricciardi

Axially symmetric Willmore minimizers with prescribed isoperimetric ratio pp. 1-60: Jan-Henrik Metsch
On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis pp. 1-31: Simone Fagioli, Emanuela Radici and Licia Romagnoli
Existence and stability of near-constant solutions of variable-coefficient scalar field equations pp. 1-28: Mashael Alammari and Stanley Snelson
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
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
Singular elliptic PDEs: an extensive overview pp. 1-82: Francescantonio Oliva and Francesco Petitta
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
Vlasov equations on directed hypergraph measures pp. 1-49: Christian Kuehn and Chuang Xu