Calculus of Variations and Its Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: closed (31 May 2020)
Special Issue Editor
Interests: analysis of nonlinear PDE; in particular fully nonlinear systems; (quasi) linear non-divergence form systems and differential inclusions; calculus of variations; in particular vector-valued calculus of variations in the space L-Infinity and nonconvex variational integrals; applications of the above to geometric analysis (optimisation of quasiconformal deformations); mathematical physics; geometric measure theory; differential games and earth sciences
Special Issue Information
Dear Colleagues,
Calculus of variations and nonlinear partial differential equations (PDE) are interconnected subjects with a long history in mathematical analysis. This is to a large extent due to the fact that many physical, natural and engineering phenomena can be modelled by variational principles.
This Special Issue invites contributions in the broader area of calculus of variations and its applications, with an emphasis (but not restricted to) vectorial variational problems, higher order variational problems, variational problems for supremal functionals, PDE-constrained optimisation and minimisation problems, variational problems with unilateral or other constraints, problems involving the Euler-Lagrange equations, the Aronsson-type equations, variational inequalities, Kuhn–Tucker theory and general extrema and critical points. We are also particularly interested to applications of the above to physical, natural and engineering phenomena.
Prof. Dr. Nikos Katzourakis
Guest Editor
Manuscript Submission Information
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Keywords
- Vectorial problems
- Higher order problems
- Supremal functionals
- PDE-constrained optimization
- Unilateral or other constraints
- Euler-Lagrange equations
- Aronsson-type equations
- Variational inequalities
- Kuhn-Tucker theory
- Extrema and critical points
