Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients [PDF]
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
Guangwei Du, Fushan Li
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We consider nonlinear sub-elliptic systems with VMO-coefficients for the case 1 < p < 2 under controllable growth conditions, as well as natural growth conditions, respectively, in the Heisenberg group.
Wang Jialin +3 more
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Medial closing wedge distal femoral varus osteotomy alters the stress distribution pattern of the patellofemoral joint: An evaluation using computed tomography osteoabsorptiometry. [PDF]
Abstract Purpose This study aimed to (1) assess changes in subchondral bone density distribution across patellofemoral (PF) joint before and after medial closing wedge‐distal femoral varus osteotomy (MCW‐DFVO) and (2) determine correlation between PF alignment and changes in bone density distribution.
Hamasaki M +10 more
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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]
ObjectivesFunctional 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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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.
Wang Jialin, Manfredi Juan J.
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Uniqueness results for elliptic problems with singular data
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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In this paper, we study discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields. In the case of growth exponential p ≥ 2 $p\geq 2$ , the regularity results of the partial Hölder continuity of weak solutions are ...
Yan Zhu, Jialin Wang, Dongni Liao
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Regularity results for singular elliptic problems
Some local and global regularity results for solutions of linear elliptic equations in weighted spaces are proved. Here the leading coefficients are VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a ...
Loredana Caso
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Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group
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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The Dirichlet Problem for elliptic equations in unbounded domains of the plane
In this paper we prove a uniqueness and existence theorem for the Dirichlet problem in W2,p for second order linear elliptic equations in unbounded domains of the plane.
Paola Cavaliere, Maria Transirico
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