Calculus of Variations and Partial Differential Equations

Aims & Scope

Calculus of variations and partial differential equations are classical, very active, closely related areas of mathematics, with important ramifications in differential geometry and mathematical physics.

In the last four decades this subject has enjoyed a flourishing development worldwide, which is still continuing and extending to broader perspectives.

This journal will attract and collect many of the important top-quality contributions to this field of research, and stress the interactions between analysts, geometers, and physicists.

The field of Calculus of Variations and Partial Differential Equations is extensive; nonetheless, the journal will be open to all interesting new developments.

Topics to be covered include: - Minimization problems for variational integrals, existence and regularity theory for minimizers and critical points, geometric measure theory - Variational methods for partial differential equations, optimal mass transportation, linear and nonlinear eigenvalue problems - Variational problems in differential and complex geometry - Variational methods in global analysis and topology - Dynamical systems, symplectic geometry, periodic solutions of Hamiltonian systems - Variational methods in mathematical physics, nonlinear elasticity, asymptotic variational problems, homogenization, capillarity phenomena, free boundary problems and phase transitions - Monge-Ampère equations and other fully nonlinear partial differential equations related to problems in differential geometry, complex geometry, and physics.

View Aims & Scope

---

Metrics & Ranking

Impact Factor

Year	Value
2025	2
2024	2.10

SJR (SCImago Journal Rank)

Year	Value
2024	2.405

Quartile

Year	Value
2024	Q1

h-index

Year	Value
2024	87

Journal Rank

Year	Value
2024	1023

Journal Citation Indicator

Year	Value
2024	1550

---

---

Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Web of Science

---

Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics, designed to support cutting-edge academic discovery.

---

Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• Local mountain passes for semilinear elliptic problems in unbounded domains

  Citation: 589

  Authors: Manuel, Patricio L.

• Elliptic equations in R2 with nonlinearities in the critical growth range

  Citation: 415

  Authors: D. G., O. H., B.

• On the existence of soliton solutions to quasilinear Schrödinger equations

  Citation: 391

  Authors: Markus, Klaus, Zhi-Qiang

• Regularity for general functionals with double phase

  Citation: 373

  Authors: Paolo, Maria, Giuseppe

• Multiple solutions for nonhomogeneous Schrödinger–Kirchhoff type equations involving the fractional p-Laplacian in $${\mathbb {R}}^N$$ R N

  Citation: 346

  Authors: Patrizia, Mingqi, Binlin

• Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

  Citation: 243

  Authors: Giampiero, Adriano

• Fractional eigenvalues

  Citation: 230

  Authors: Erik, Peter

• Semilinear elliptic equations with singular nonlinearities

  Citation: 227

  Authors: Lucio, Luigi

• Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

  Citation: 218

  Authors: Michael

• Asymptotics for the minimization of a Ginzburg-Landau functional

  Citation: 202

  Authors: Fabrice, Haim, Fr�d�ric

---