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Taylor’s theorem for functionals on BMO with application to BMO local minimizers

Taylor’s theorem for functionals on BMO with application to BMO local minimizers
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.
openaire  

Electrical and thermal conductivity of Earth's iron-enriched basal magma ocean. [PDF]

Proc Natl Acad Sci U S A
Dragulet F, Stixrude L.
europepmc   +1 more source

The 'vulnerability paradox': how institutional legacies shaped Colombia's response to Venezuelan displacement. [PDF]

Disasters
Fernández-Rodríguez N.
europepmc   +1 more source

Certain decompositions of {BMO}-martingales

Tohoku Mathematical Journal, 1981
openaire   +3 more sources

Understanding Mortality After Congenital Heart Surgery: What Do Procedure-Specific Factors Add? [PDF]

Ann Thorac Surg
Nathan M, Han L, Zelevinsky K, Abing H, Mayer JE, Normand SL, Pasquali SK.   +6 more
europepmc   +1 more source

Optical coherence tomography alone is insufficient for glaucoma management. [PDF]

Indian J Ophthalmol
Sihota R.
europepmc   +1 more source

Prevalence and anatomical distribution of MRI lesions in axSpA and differences between patients with and without peripheral involvement: results from the ASAS classification cohort. [PDF]

RMD Open
Farisogullari B, Wichuk S, Baraliakos X, Eshed I, de Hooge M, Lambert RG, Østergaard M, Pedersen SJ, Weber U, Maksymowych WP, Machado PM.   +10 more
europepmc   +1 more source

Peripapillary hyperreflective ovoid mass-like structure in arteritic versus nonarteritic anterior ischemic optic neuropathy. [PDF]

Front Ophthalmol (Lausanne)
Maartensson MB, Bendtsen AW, Hansen MS, Jørgensen M, Lykkebirk L, Hamann S.   +5 more
europepmc   +1 more source

Deep learning method for semi-automated segmentation of optic nerve head tissues in optical coherence tomography images. [PDF]

Exp Eye Res
Clingo KA, Czerpak CA, Quigley HA, Nguyen TD.   +3 more
europepmc   +1 more source

Proof-of-concept study on Bruch's membrane opening minimum rim width (BMO-MRW) and optic nerve head morphology in people living with HIV. [PDF]

BMC Ophthalmol
Buthelezi LM, Munsamy AJ, Mashige KP.
europepmc   +1 more source