Editorial
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Guozhen Lu
The journal of Advanced Nonlinear Studies (ANS) was founded by Professor Shair Ahmad and its first issue was published in 2001. In the past 20 years, thanks to the great work of Shair, the members of the editorial board and many contributing authors, ANS has published many papers of high scientific impact in the areas of nonlinear analysis, partial differential equations, and dynamic systems, etc. Under the outstanding leadership and tireless work of Shair, our founding Editor-in-Chief, ANS has become a highly renowned journal in the mathematical community. It has been a great honor for me to have served on the editorial board of ANS since 2012 and contributed to its growth and development. Starting from 2016, De Gruyter started to publish issues for ANS. In 2021, Shair decided to step down from the position of the Editor-in-Chief of ANS after his very successful career and his retirement. In late 2021, with the recommendation of Shair, I was offered by De Gruyter to take the role of the Editor-in-Chief for ANS to officially start my responsibility on January 1, 2022. In the meantime, De Gruyter also decided to publish the journal of ANS in the open access format, so that readers can freely download papers published in ANS immediately after their publication online.
This year, 2022, is our first year publishing ANS open access. I am so pleased and honored that many distinguished mathematicians accepted my invitations and joined the newly formed editorial board of ANS. With this distinguished board, we are confident that ANS will reach even greater heights. This first year of the new publication model of ANS has been very successful, thanks to the editors, authors, and the entire De Gruyter staff contributing to the journal.
The initiatives we have taken in 2022 include organizing several special issues: (1) Special issue on “Geometric partial differential equations and applications” co-edited by Professors Xi-Nan Ma, William Minicozzi, Weimin Sheng, and myself. (2) Special issue in honor of Professor David Jerison’s 70th birthday, which I am responsible for. (3) Special issue in honor of Professor Joel Spruck co-edited by Professors Yannick Sire and Christopher Sogge. (4) Special issue on “Geometric, Topological and Variational methods in PDEs” co-edited by Professors Wenxiong Chen, Silvia Cingolani, and myself. I am so pleased that the first special issue “Geometric partial differential equations and applications” will soon be published in early 2023. The special issue in honor of David Jerison is also making very good progress – many world-class mathematicians have already submitted to this special issue, and it is expected that this issue will be published in the second quarter of 2023.
I am very grateful for the strong support and hard work of many world-class mathematicians on the editorial board. The research areas of our editors represent a broad spectrum of some of the most important branches of modern nonlinear analysis, geometric analysis, and partial differential equations. Our goal is to build ANS as one of the very top mathematical journals, with many distinguished authors and many important and highly impactful papers in the coming years. Shair and I have had many continuing discussions on the future of ANS in the past few years. In particular, since I became the Editor-in-Chief of ANS, I have talked to Shair frequently and asked him for advice. I have a great admiration for Shair and his expertise and insights are instrumental. As the founding Editor-in-Chief, Shair has made remarkable contributions to the growth and development of ANS in the past 20 years. ANS could not have accomplished what it is recognized for today without Shair’s tremendous effort. I am excited for ANS to continue Shair’s legacy. I would like to take this opportunity to thank Shair for his friendship, kindness, wisdom, and his trust in me and wish Shair, his wife Carol, and their family all the best in happiness and health for their retirements.
© 2022 the author(s), published by De Gruyter
This work is licensed under the Creative Commons Attribution 4.0 International License.
Articles in the same Issue
- Research Articles
- Editorial
- A sharp global estimate and an overdetermined problem for Monge-Ampère type equations
- Non-degeneracy of bubble solutions for higher order prescribed curvature problem
- On fractional logarithmic Schrödinger equations
- Large solutions of a class of degenerate equations associated with infinity Laplacian
- Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings
- Asymptotic mean-value formulas for solutions of general second-order elliptic equations
- Weighted critical exponents of Sobolev-type embeddings for radial functions
- Existence and asymptotic behavior of solitary waves for a weakly coupled Schrödinger system
- On the Lq-reflector problem in ℝn with non-Euclidean norm
- Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity
- Normalized solutions for a class of scalar field equations involving mixed fractional Laplacians
- Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems
- Multiple solutions to multi-critical Schrödinger equations
- Existence of solutions to contact mean-field games of first order
- The regularity of weak solutions for certain n-dimensional strongly coupled parabolic systems
- Uniform stabilization for a strongly coupled semilinear/linear system
- Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group
- Existence of ground state solutions for critical fractional Choquard equations involving periodic magnetic field
- Least energy sign-changing solutions for Schrödinger-Poisson systems with potential well
- Lp Hardy's identities and inequalities for Dunkl operators
- Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models
- Gradient estimate of the solutions to Hessian equations with oblique boundary value
- Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry
- A Liouville theorem for the Hénon-Lane-Emden system in four and five dimensions
- Regularity of degenerate k-Hessian equations on closed Hermitian manifolds
- Principal eigenvalue problem for infinity Laplacian in metric spaces
- Concentrations for nonlinear Schrödinger equations with magnetic potentials and constant electric potentials
- A general method to study the convergence of nonlinear operators in Orlicz spaces
- Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well
- Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities
- Existence of two solutions for singular Φ-Laplacian problems
- Existence and multiplicity results for first-order Stieltjes differential equations
- Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space
Articles in the same Issue
- Research Articles
- Editorial
- A sharp global estimate and an overdetermined problem for Monge-Ampère type equations
- Non-degeneracy of bubble solutions for higher order prescribed curvature problem
- On fractional logarithmic Schrödinger equations
- Large solutions of a class of degenerate equations associated with infinity Laplacian
- Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings
- Asymptotic mean-value formulas for solutions of general second-order elliptic equations
- Weighted critical exponents of Sobolev-type embeddings for radial functions
- Existence and asymptotic behavior of solitary waves for a weakly coupled Schrödinger system
- On the Lq-reflector problem in ℝn with non-Euclidean norm
- Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity
- Normalized solutions for a class of scalar field equations involving mixed fractional Laplacians
- Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems
- Multiple solutions to multi-critical Schrödinger equations
- Existence of solutions to contact mean-field games of first order
- The regularity of weak solutions for certain n-dimensional strongly coupled parabolic systems
- Uniform stabilization for a strongly coupled semilinear/linear system
- Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group
- Existence of ground state solutions for critical fractional Choquard equations involving periodic magnetic field
- Least energy sign-changing solutions for Schrödinger-Poisson systems with potential well
- Lp Hardy's identities and inequalities for Dunkl operators
- Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models
- Gradient estimate of the solutions to Hessian equations with oblique boundary value
- Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry
- A Liouville theorem for the Hénon-Lane-Emden system in four and five dimensions
- Regularity of degenerate k-Hessian equations on closed Hermitian manifolds
- Principal eigenvalue problem for infinity Laplacian in metric spaces
- Concentrations for nonlinear Schrödinger equations with magnetic potentials and constant electric potentials
- A general method to study the convergence of nonlinear operators in Orlicz spaces
- Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well
- Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities
- Existence of two solutions for singular Φ-Laplacian problems
- Existence and multiplicity results for first-order Stieltjes differential equations
- Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space
