Results 31 to 40 of about 228,562 (313)
Maximum Principles for Fourth Order Nonlinear Elliptic Equations with Applications
Boletim da Sociedade Paranaense de Matemática, 2014 Summary: The paper is devoted to prove maximum principles for a certain functionals defined for solution of the fourth order nonlinear elliptic equation. The maximum principle so obtained is used to prove the nonexistence of nontrivial solutions of the fourth order nonlinear elliptic equation with some zero boundary conditions. Hopf's maximum principle
D. B. Dhaigude +2 more
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On the set of positive solutions for resonant Robin (p, q)-equations
Advances in Nonlinear Analysis, 2021 We consider a nonlinear Robin problem driven by the (p, q)-Laplacian and a parametric reaction exhibiting the competition of a concave term and of a resonant perturbation.
Papageorgiou Nikolaos S., Zhang Youpei
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Optimal Control of Manipulator
Известия Иркутского государственного университета: Серия "Математика", 2023 When solving the problem of optimal performance for manipulative robots, the scientific team headed by F. L. Chernousko actively uses the Pontryagin maximum principle.
Yu. F. Dolgii, I. A. Chupin
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First eigenvalue and maximum principle for fully nonlinear singular operators
Advances in Differential Equations, 2006 Through the Maximum principle we define the principal eigenvalue for a class of fully-nonlinear operators that are the non-variational equivalent of the p-Laplacian. We also obtain some a priori Holder estimates for non-negative solutions below that eigenvalue.
BIRINDELLI, Isabella, DEMENGEL F.
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Principal eigenvalue and maximum principle for cooperative periodic–parabolic systems [PDF]
Nonlinear Analysis, 2018 This paper classifies the set of supersolutions of a general class of periodic-parabolic problems in the presence of a positive supersolution. From this result we characterize the positivity of the underlying resolvent operator through the positivity of ...
I. Antón, J. López-Gómez
semanticscholar +1 more source
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Reduced Muscular Carnosine in Proximal Myotonic Myopathy—A Pilot 1H‐MRS Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Myotonic dystrophy type 2 (proximal myotonic myopathy, PROMM) is a progressive multisystem disorder with muscular symptoms (proximal weakness, pain, myotonia) and systemic manifestations such as diabetes mellitus, cataracts, and cardiac arrhythmias.
Alexander Gussew +11 more
wiley +1 more source
Best Possible Maximum Principles for Fully Nonlinear Elliptic Partial Differential Equations
Zeitschrift für Analysis und ihre Anwendungen, 2006 We investigate a class of equations including generalized Monge–Ampere equations as well as Weingarten equations and prove a maximum principle for suitable functions involving the solution and its gradient. Since the functions which enjoy the maximum principles are constant for special domains, we have a so called best possible maximum principle that ...
G. PORRU, A. SAFOUI, PIRO, STELLA
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu +10 more
wiley +1 more source
Arthritis Care &Research, EarlyView.Objective Ultrasound (US) has been proposed as a potential tool for assessing skin fibrosis in systemic sclerosis (SSc). However, a large‐scale comparison of US‐based assessment with histologic markers of skin fibrosis has not been reported. We evaluated US‐based skin assessments for their face validity (differentiation between involved SSc and healthy
Ruhani Desai +12 more
wiley +1 more source