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Special Issue: Calculus of Variations and Nonlinear PDEs

Guest Editor

Dr. Alessio Fiscella
Universidade Estadual de Campinas, Campinas, Brazil
Email: fiscella@unicamp.br

Manuscript Topics


The Calculus of Variations has always been a privileged approach for classical mechanics since the prominent collaboration between L. Euler and J.L. Lagrange. This method now has become essential to many other disciplines in science, engineering, economics, and medicine.


The present Special Issue invites researchers to submit original works as well as review articles on Calculus of Variations and its applications on nonlinear PDEs. The aims of this Special Issue is to pursue an exchange of questions and ideas covering (but are not limited to) the following topics of interest:


• variational methods
• critical point theory
• existence and regularity of critical points
• nonlinear PDEs
• geometry of manifolds
• geometric measure theory
• minimization for variational integrals
• functional inequalities


Instruction for Authors
http://aimspress.com/cam/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 June 2024

Published Papers(15)

Research article
On periodic solutions of second-order partial difference equations involving p-Laplacian
Dan Li Yuhua Long
2025, Volume 17, Issue 1: 128-144. doi: 10.3934/cam.2025006
Abstract HTML PDF Cited (2) Viewed (576)
Research article
Quasilinear parabolic variational-hemivariational inequalities in RN×(0,τ) under bilateral constraints
Siegfried Carl
2025, Volume 17, Issue 1: 41-60. doi: 10.3934/cam.2025003
Abstract HTML PDF Viewed (518)
Research article
Brezis Nirenberg type results for local non-local problems under mixed boundary conditions
Lovelesh Sharma
2024, Volume 16, Issue 4: 872-895. doi: 10.3934/cam.2024038
Abstract HTML PDF Viewed (814)
Research article
Multiplicity and concentration of normalized solutions for a Kirchhoff type problem with L2-subcritical nonlinearities
Yangyu Ni Jijiang Sun Jianhua Chen
2024, Volume 16, Issue 3: 633-654. doi: 10.3934/cam.2024029
Abstract HTML PDF Cited (3) Viewed (996)
Research article
A critical Kirchhoff problem with a logarithmic type perturbation in high dimension
Qi Li Yuzhu Han Bin Guo
2024, Volume 16, Issue 3: 578-598. doi: 10.3934/cam.2024027
Abstract HTML PDF Cited (2) Viewed (1129)
Research article
Multiple positive solutions for the logarithmic Schrödinger equation with a Coulomb potential
Fangyuan Dong
2024, Volume 16, Issue 3: 487-508. doi: 10.3934/cam.2024023
Abstract HTML PDF Viewed (1208)
Research article
Multiple solutions for quasi-linear elliptic equations with Berestycki-Lions type nonlinearity
Maomao Wu Haidong Liu
2024, Volume 16, Issue 2: 334-344. doi: 10.3934/cam.2024016
Abstract HTML PDF Viewed (1123)
Research article
Multiplicity of the large periodic solutions to a super-linear wave equation with general variable coefficient
Xiao Han Hui Wei
2024, Volume 16, Issue 2: 278-292. doi: 10.3934/cam.2024013
Abstract HTML PDF Cited (2) Viewed (1174)
Research article
Normalized solutions for pseudo-relativistic Schrödinger equations
Xueqi Sun Yongqiang Fu Sihua Liang
2024, Volume 16, Issue 1: 217-236. doi: 10.3934/cam.2024010
Abstract HTML PDF Cited (2) Viewed (1500)
Research article
Nontrivial solutions for the Laplace equation with a nonlinear Goldstein-Wentzell boundary condition
Enzo Vitillaro
2023, Volume 15, Issue 4: 811-830. doi: 10.3934/cam.2023039
Abstract HTML PDF Cited (1) Viewed (1333)
Research article
Non-trivial solutions for a partial discrete Dirichlet nonlinear problem with p-Laplacian
Huiting He Mohamed Ousbika Zakaria El Allali Jiabin Zuo
2023, Volume 15, Issue 4: 598-610. doi: 10.3934/cam.2023030
Abstract HTML PDF Cited (5) Viewed (1889)
Theory article
On sequences of homoclinic solutions for fractional discrete p-Laplacian equations
Chunming Ju Giovanni Molica Bisci Binlin Zhang
2023, Volume 15, Issue 4: 586-597. doi: 10.3934/cam.2023029
Abstract HTML PDF Cited (3) Viewed (1340)
Research article
Existence of normalized solutions for the Schrödinger equation
Shengbing Deng Qiaoran Wu
2023, Volume 15, Issue 3: 575-585. doi: 10.3934/cam.2023028
Abstract HTML PDF Cited (5) Viewed (1565)
Research article
A new class of multiple nonlocal problems with two parameters and variable-order fractional p()-Laplacian
Mohamed Karim Hamdani Lamine Mbarki Mostafa Allaoui
2023, Volume 15, Issue 3: 551-574. doi: 10.3934/cam.2023027
Abstract HTML PDF Cited (4) Viewed (1988)
Research article
Solutions for a class of problems driven by an anisotropic (p,q)-Laplacian type operator
Leandro Tavares
2023, Volume 15, Issue 3: 533-550. doi: 10.3934/cam.2023026
Abstract HTML PDF Cited (6) Viewed (1559)