Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients [PDF]
Journal of Inequalities and Applications, 2018 This article is concerned with an obstacle problem for nonlinear subelliptic systems of second order with VMO coefficients. It is shown, based on a modification of A-harmonic approximation argument, that the gradient of weak solution to the corresponding obstacle problem belongs to the Morrey space [Formula: see text].
Guangwei Du, Fushan Li
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$L^\infty$-estimates for parabolic systems with VMO-coefficients
Discrete and Continuous Dynamical Systems - Series S, 2010 In this paper we prove $L^\infty$-a priori estimates for parabolic evolution equations in non-divergence form on all of $\R^n$ for bounded coefficients having only vanishing mean oscillation, thus allowing in particular non continuous coefficients.
Horst Heck, Matthias Hieber
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$L^p$-theory for fractional gradient PDE with VMO coefficients [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2015 In this paper, we prove $L^p$ estimates for the fractional derivatives of solutions to elliptic fractional partial differential equations whose coefficients are $VMO$.
Schikorra, Armin +2 more
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Linear and nonlinear abstract elliptic equations with VMO coefficients and applications [PDF]
Fixed Point Theory and Applications, 2013 In this paper, maximal regularity properties for linear and nonlinear elliptic differential-operator equations with VMO (vanishing mean oscillation) coefficients are studied.
Veli B Shakhmurov
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On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients [PDF]
Journal of Function Spaces and Applications, 2012 We establish, in dimension two, a regularity result for nonnegative solutions to an adjoint elliptic equation, generalizing a previous result of Escauriaza (1994). We consider elliptic equations with coefficients which are measurable with respect to one variable and VMO with respect to the other.
Teresa Alberico
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Partial regularity for parabolic systems with VMO-coefficients [PDF]
, 2013 We establish partial regularity for vector-valued solutions to parabolic systems where the coefficients are possibly discontinuous with respect to (x,t). More precisely, we assume a VMO-condition with respect to the (x,t) and continuity with respect to u
Kanazawa, Taku
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Evaluation of the reduction in perceived and performance fatigability by functional compression tights during squat exercises via electromyography and electroencephalography analysis. [PDF]
PLoS ONEObjectivesFunctional compression tights are widely used to support muscle activity, enhance blood flow and reduce fatigue, which comprises performance (motor or cognitive) and perceived fatigability.
Takuma Isshiki +6 more
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Parabolic Equations with VMO Coefficients in Morrey Spaces [PDF]
Electronic Journal of Differential Equations, 2001 Global regularity in Morrey spaces is derived for the regular oblique derivative for linear uniformly parabolic operators. The principal coefficients of the operator are supposed to be discontinuous, belonging to Sarason's class of functions with vanishing mean oscillation (VMO).
Lubomira G. Softova
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Advances in Nonlinear Analysis, 2018 We consider nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group and prove partial Hölder continuity results for weak solutions using a generalization of the technique of 𝒜{\mathcal{A}}-harmonic approximation.
Jialin Wang, Juan J Manfredi
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Second-order elliptic equations with variably partially VMO coefficients
Journal of Functional Analysis, 2009 17 pages. Auxiliary results slightly reorganized.
N V Krylov
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