@article{oai:oist.repo.nii.ac.jp:00001983,
 author = {Spector, Daniel E. and Spector, Scott J.},
 journal = {Quarterly of Applied Mathematics},
 month = {Oct},
 note = {In this note two results are established for energy functionals that are given by the integral of W(x,∇u(x)) over Ω⊂Rn with ∇u∈BMO(Ω;RN×n), the space of functions of Bounded Mean Oscillation of John & Nirenberg. A version of Taylor's theorem is first shown to be valid provided the integrand W has polynomial growth. This result is then used to demonstrate that, for the Dirichlet, Neumann, and mixed problems, every Lipschitz-continuous solution of the corresponding Euler-Lagrange equations at which the second variation of the energy is uniformly positive is a strict local minimizer of the energy in W1,BMO(Ω;RN), the subspace of the Sobolev space W1,1(Ω;RN) for which the weak derivative ∇u∈BMO(Ω;RN×n).},
 title = {Taylor’s theorem for functionals on BMO with application to BMO local minimizers},
 year = {2020}
}