Results 111 to 120 of about 20,082 (264)

Fractional p-Laplacian equations on Riemannian manifolds

Electronic Journal of Differential Equations, 2018
In this article we establish the theory of fractional Sobolev spaces on Riemannian manifolds. As a consequence we investigate some important properties, such as the reflexivity, separability, the embedding theorem and so on.
Lifeng Guo, Binlin Zhang, Yadong Zhang
doaj  

Toward Brain Biosignature at 7 T—Repeatability of a Multiparametric CEST, QSM, QTI, and Sodium Imaging Protocol

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To evaluate the repeatability of an extended multiparametric 7 T MRI protocol for voxel‐wise tissue characterization combining morphological, CEST, QSM, QTI, and Sodium contrasts. Methods A repeatability study was performed in 12 volunteers without diagnosed neurological disease on a 7 T MRI system, using a comprehensive acquisition ...
Annika Hofmann, Martin Freudensprung, Lion Mücke, Tobias Wilferth, Zijin Yang, Dominik Perrin, Julius Glaser, Katharina Tkotz, Magda Duarte, Simon Weinmüller, Oliver Chaudry, Annemarie Wirth, Angelika Mennecke, Oliver Gödicke, Patrick Liebig, Lena V. Gast, Philipp Ehses, Clemens Stilianu, Rudolf Stollberger, Jannis Hanspach, Alexander German, Jürgen Winkler, Michael Uder, Arnd Doerfler, Sebastian Bickelhaupt, Andreas Maier, Katharina Breininger, Moritz Zaiss, Armin M. Nagel, Frederik B. Laun, Florian Knoll   +30 more
wiley   +1 more source

Multiplicity theorems for semipositone p-Laplacian problems

Electronic Journal of Differential Equations, 2011
In this article, we study the existence of solutions for the semipositone p-Laplacian problems. Under a subliner behavior at infinity, using degree theoretic arguments based on the degree map for operators of type (S)_+, we prove the existence of at ...
Xudong Shang
doaj  

Improved Upper‐Airway Collapse Imaging in Obstructive Sleep Apnea Using Self‐Supervised Spiral Variational Manifold Learning

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To propose a self‐supervised variational manifold learning framework for dynamic upper‐airway MRI reconstruction in obstructive sleep apnea from prospectively under‐sampled spiral data during natural sleep, without requiring fully sampled training data.
Md Shahin Ali, Wahidul Alam, Mathews Jacob, Sarv Priya, Douglas Van Daele, Junjie Liu, Sajan Goud Lingala   +6 more
wiley   +1 more source

Blow-up for p-Laplacian parabolic equations

Electronic Journal of Differential Equations, 2003
In this article we give a complete picture of the blow-up criteria for weak solutions of the Dirichlet problem $$ u_t= abla(| abla u|^{p-2} abla u)+lambda |u|^{q-2}u,quad hbox{in } Omega_T, $$ where $p>1$.
Yuxiang Li, Chunhong Xie
doaj  

Identification of Novel CD52+ Fibroblasts in Nodular Prostatic Hyperplasia

The Prostate, EarlyView.
ABSTRACT Background Benign prostatic hyperplasia (BPH) and lower urinary tract symptoms are strongly associated with chronic prostate inflammation and stromal remodeling, yet the stromal cell programs that emerge during inflammatory, nodular remodeling remain incompletely defined. A Toxoplasma gondii infection model produces persistent inflammation and
Oliver R. Strobel, Hanyu Xia, James P. Ropa, Douglas W. Strand, Travis J. Jerde, Gustavo Arrizabalaga   +5 more
wiley   +1 more source

Steklov problems involving the p(x)-Laplacian

Electronic Journal of Differential Equations, 2014
Under suitable assumptions on the potential of the nonlinearity, we study the existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplacian. Our approach is based on variational methods.
Ghasem A. Afrouzi, Armin Hadjian, Shapour Heidarkhani   +2 more
doaj  

Supervised Protein Structure Classification Using Topological Persistence With DeltaFold

Proteins: Structure, Function, and Bioinformatics, EarlyView.
ABSTRACT Recent advances in protein structure prediction have considerably increased the number of available structures, underscoring the need for scalable and accurate methods to compare and classify this huge amount of data. Current approaches based on sequence alignment or structural superposition often lack sensitivity and/or are computationally ...
Joseph Nardin‐Gennequin, Gabriela Ciuperca, Céline Brochier‐Armanet, Philippe Malbos   +3 more
wiley   +1 more source

Propagation of internal gravity waves: Optimal vertical discretisation and grid design based on numerical error analysis

Quarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida, Laurent Debreu, Florian Lemarié, Jérome Chanut   +3 more
wiley   +1 more source

(p,q)-Laplacian elliptic systems at resonance

Electronic Journal of Differential Equations, 2016
We show the existence of weak solutions for a class of (p,q)-Laplacian elliptic systems at resonance, under certain Landesman-Lazer-type conditions by using critical point theorem.
Zeng-Qi Ou
doaj