Linear and nonlinear abstract elliptic equations with VMO coefficients and applications [PDF]
Fixed Point Theory and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shakhmurov, Veli B., Veli B Shakhmurov
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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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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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Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups
Electronic Journal of Differential Equations, 2016 In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too
Haiyan Yu, Shenzhou Zheng
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Uniqueness results for elliptic problems with singular data
Boundary Value Problems, 2006 We obtain some uniqueness results for the Dirichlet problem for second-order elliptic equations in an unbounded open set Ω without the cone property, and with data depending on appropriate weight functions.
Loredana Caso
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Parabolic and Elliptic Systems with VMO Coefficients [PDF]
Methods and Applications of Analysis, 2009 We consider second order parabolic and elliptic systems with leading coefficients having the property of vanishing mean oscillation (VMO) in the spatial variables. An L q - L p theory is established for systems both in divergence and non-divergence form.
Dong, Hongjie, Kim, Doyoon
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On Bellman's Equations with VMO Coefficients [PDF]
Methods and Applications of Analysis, 2010 We present a result about solvability in $W^{2}_{p}$, $p>d$, in the whole space $\bR^{d}$ of Bellman's equations with VMO ``coefficients''. Parabolic equations are touched upon as well.
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$L^p$ estimates for degenerate elliptic systems with VMO coefficients [PDF]
St. Petersburg Mathematical Journal, 2014 The authors obtain \(L^p\) gradient weighted estimates with Muckenhoupt weight for degenerate elliptic systems in divergence form with VMO coefficients.
DI FAZIO, Giuseppe +2 more
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On Divergence Form SPDEs with VMO Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2009 26 pages in the original file, 27 pages in the new version, numerous errors ...
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Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group
Advances in Mathematical Physics, 2022 In this paper, we prove the partial Hölder regularity of weak solutions and the partial Morrey regularity to horizontal gradients of weak solutions to a nonlinear discontinuous subelliptic system with drift on the Heisenberg group by the A-harmonic ...
Junli Zhang, Jialin Wang
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