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Calculus of Variations and Partial Differential Equations

ISSN (printed): 0944-2669. ISSN (electronic): 1432-0835.

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. Moreover it offers an opportunity for communication among scientists working in the field through a section "News and Views" which is open to discussions announcements of meetings reproductions of historical documents bibliographies etc. 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 linear and nonlinear eigenvalue problems bifurcation theory; Variational problems in differential and complex geometry such as geodesics minimal surfaces harmonic mappings critical points of curvature integrals Einstein equations Yang-Mills fields; Variational methods in global analysis and topology: Morse theory Ljusternik-Schnirelman theory flows generated by variational integrals and parabolic equations index theorems integral invariants; Dynamical systems symplectic geometry periodic solutions of Hamiltonian systems; Variational methods in mathematical physics nonlinear elasticity crystals 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.

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