Results 161 to 170 of about 19,228,694 (296)
Blow-up for p-Laplacian parabolic equations
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
ABSTRACT Background Endoscopy is essential in upper aerodigestive tract (UADT) examination, particularly in the early detection of laryngopharyngeal lesions. However, UADT endoscopy remains operator‐dependent and lacks standardized quality metrics. Recent advancements in artificial intelligence (AI) have generated interest in applications within UADT ...
Celine M. L. H. Wilmes+4 more
wiley +1 more source
Steklov problems involving the p(x)-Laplacian
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+2 more
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Bean's critical-state model as the p→∞ limit of an evolutionary -Laplacian equation [PDF]
John W. Barrett, Leonid Prigozhin
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(p,q)-Laplacian elliptic systems at resonance
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
The spectrum of $p$-Laplacian systems with various boundary conditions and applications [PDF]
Raúl Manásevich, Jean Mawhin
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This study developed a two‐stage model using radiomics‐based multiparametric MRI and clinical indicators to help identify and grade clinically significant prostate cancer. The model showed promising levels of diagnostic accuracy and predictive performance.
Yuyan Zou+10 more
wiley +1 more source
On the antimaximum principle and the Fučik spectrum for the Neumann {$p$}-Laplacian [PDF]
M.R. Arias+2 more
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Abstract Objective To compare iron deposition in the substantia nigra (SN) as measured with quantitative susceptibility mapping (QSM) on antemortem magnetic resonance imaging (MRI) between individuals with and without Lewy‐related pathology at autopsy. Methods We performed a retrospective cohort study including 54 participants who underwent autopsy and
Patricia Diaz‐Galvan+28 more
wiley +1 more source
Abstract Background Impaired glymphatic clearance may contribute to pathological accumulations in Parkinson's (PD), but how it interacts with other processes causing dementia remains unclear. Diffusion tensor image analysis along the perivascular space (DTI‐ALPS) has been proposed as an indirect proxy for glymphatic clearance. Objectives To clarify DTI‐
Angeliki Zarkali+8 more
wiley +1 more source