Results 81 to 90 of about 1,488,319 (298)

Quasiconvexity and partial regularity via nonlinear potentials

, 2022
We show how to infer sharp partial regularity results for relaxed minimizers of degenerate, nonuniformly elliptic quasiconvex functionals, using tools from Nonlinear Potential Theory.
De Filippis, C
core   +1 more source

Long‐Term Efficacy of Immunotherapy in Autoimmune Autonomic Ganglionopathy—A 10‐Year Follow Up Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Autoimmune autonomic ganglionopathy (AAG) is a rare but potentially treatable cause of severe autonomic failure. Evidence guiding long‐term immunotherapy, treatment sequencing, and residual autonomic impairment is limited. We evaluated long‐term treatment response, residual autonomic dysfunction, and relapse patterns in patients with
Giacomo Chiaro, Shiwen Koay, Gordon T. Ingle, Patricia McNamara, Laura Watson, Fion Bremner, Valeria Iodice   +6 more
wiley   +1 more source

Efficacy of Inebilizumab in N‐MOmentum Trial Participants With or Without Prior Immunosuppressants

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT This post hoc analysis examined the impact of prior immunosuppressants on the long‐term efficacy and safety of inebilizumab, a cluster of differentiation 19+ B‐cell–depleting monoclonal antibody, in participants with aquaporin‐4–seropositive neuromyelitis optica spectrum disorder from the N‐MOmentum trial (NTC02200770).
Bruce A. C. Cree, Beatrice Suero, Sarah Walsh, Romain Marignier, John W. Lindsey, Ho Jin Kim, Dewei She, Daniel Cimbora, Dustin Cavida, Friedemann Paul   +9 more
wiley   +1 more source

Compensation phenomena in geometric partial differential equations [PDF]

In this thesis we present optimal and improved estimates for systems of critical elliptic PDE which arise as generalisations of natural geometric problems.
Sharp, Benjamin G.
core  

Uncertainty quantification and weak approximation of an elliptic inverse problem [PDF]

, 2011
We consider the inverse problem of determining the permeability from the pressure in a Darcy model of flow in a porous medium. Mathematically the problem is to find the diffusion coefficient for a linear uniformly elliptic partial differential equation ...
Worthington, Claire, Robinson, Stewart, Davis, Neil D., Radnor, Zoe, Cooke, Matthew W, Burgess, Nicola, Cooke, Matthew, M. Dashti, Davies, Neil, Dashti, M., A. M. Stuart, Masoumeh Dashti (4463344), Worthington, Claire H, A M Stuart (13396491), Stuart, A. M.   +14 more
core   +2 more sources

Partial regularity for flows of H-surfaces, II

Electronic Journal of Differential Equations, 1999
We study the regularity of weak solutions to the heat equation for H-surfaces. Under the assumption that the function $H:{Bbb R}^3 o {Bbb R}$ is bounded and Lipschitz, we show that the solution is $C^{2,alpha}$ on its domain, except for a set of measure ...
Changyou Wang
doaj  

On the Tonelli's Partial Regularity

Differential and Integral Equations, 2013
In this work we prove that the symmetries of a Lagrangian function $L$ play an important role in the regularity of the solutions to its associated variational problem. More precisely, we prove that any absolutely continuous solution to $$\min \Big \{\int_a^b L(t,u(t),\dot u(t))\,dt: u\in{\bf W}_0^{1,1}(a,b)\Big \}$$ is regular in the sense of Tonelli ...
openaire   +2 more sources

Cognitive and Neuroimaging Divergence Between Juvenile and Adult FUS Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Amyotrophic lateral sclerosis (ALS) is a neurodegenerative disorder characterized by progressive motor neuron degeneration. Fused in sarcoma (FUS)‐associated juvenile ALS (jALS) represents a distinct and aggressive subgroup with rapid deterioration and poor prognosis.
Alexandra V. Jürs, Marcel Naumann, Annaliis Lehto, Hanna Schön, Jens Kurth, Johannes Prudlo, Andreas Hermann, Elisabeth Kasper   +7 more
wiley   +1 more source

Regularity for a clamped grid equation $u_{xxxx}+u_{yyyy}=f $ on a domain with a corner

Electronic Journal of Differential Equations, 2009
The operator $L=frac{partial ^{4}}{partial x^{4}} +frac{partial ^{4}}{partial y^{4}}$ appears in a model for the vertical displacement of a two-dimensional grid that consists of two perpendicular sets of elastic fibers or rods.
Tymofiy Gerasimov, Guido Sweers
doaj  

Nonlocal partial regularity

Discrete and Continuous Dynamical Systems
The failure of De Giorgi–Nash theory in the vectorial setting opens the way to the study of partial regularity, namely smoothness of solutions outside a negligible singular set. This is a classical topic in regularity theory. We give an account of some classical local partial regularity results, and of more recent developments in the nonlocal setting ...
De Filippis, Cristiana, Mingione, Giuseppe, Nowak, Simon Noah   +2 more
openaire   +1 more source