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Distortion-Free Magnetic Tracking of Metal Instruments in Image-Guided Interventions. [PDF]

Sensors (Basel)
Higgins E, Crowley D, van den Bosch C, Cantillon-Murphy P.   +3 more
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Solutions for Equations Involving the Infinity-Laplacian

International Journal of Applied and Computational Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Márcio Fabiano da Silva, Igor Leite Freire, Antonio Cândido Faleiros   +2 more
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Large solutions for the infinity Laplacian

Advances in Calculus of Variations, 2008
Summary: We study existence, uniqueness and asymptotic behavior near the boundary of solutions to \[ \Delta_\infty u=\bigg(D^2u(x) \frac{Du(x)}{|Du(x)|}\bigg)\cdot \bigg( \frac{Du(x)}{|Du(x)|}\bigg)= u^q \] in \(\Omega\) with an explosive boundary condition \(u(x)\to+\infty\) as \(x\to\partial\Omega\).
Juutinen, Petri, Rossi, Julio D.
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Bifurcation near infinity for the Robin p-Laplacian

Manuscripta Mathematica, 2015
The paper under review deals with a parametric Robin problem driven by the \(p\)-Laplacian and with a Carathéodory reaction term that incorporates as a special case \(p\)-logistic equations with a superdiffusive reaction. Precisely, the problem considered is \[ \begin{cases} -\Delta_p u(z)=\lambda f(z,u(z)) & \text{in}\;\Omega,\\ \dfrac{\partial u ...
Papageorgiou, Nikolaos S., Rădulescu, Vicenţiu D.   +1 more
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A weighted eigenvalue problem of the biased infinity Laplacian ^*

Nonlinearity, 2021
Abstract We study a weighted eigenvalue problem of the β -biased infinity Laplacian operator arising from the β -biased tug-of-war.
Liu, Fang, Yang, Xiao-Ping
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BOUNDARY BLOW-UP SOLUTIONS TO EQUATIONS INVOLVING THE INFINITY LAPLACIAN

Journal of the Australian Mathematical Society, 2022
AbstractIn this paper, we study the boundary blow-up problem related to the infinity Laplacian $$ \begin{align*}\begin{cases} \Delta_{\infty}^h u=u^q &\mathrm{in}\; \Omega, \\ u=\infty &\mathrm{on} \;\partial\Omega, \end{cases} \end{align*} $$ where $\Delta _{\infty }^h u=|Du|^{h-3} \langle D^2uDu,Du \rangle $ is the highly degenerate and h ...
Li, Cuicui, Liu, Fang, Zhao, Peibiao
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The Infinity Laplacian

2019
The limit equation of the p-Laplace equation as \(p\rightarrow \infty \) is a very fascinating one. In two variables it is the equation.
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The infinity Laplacian in infinite dimensions

Calculus of Variations, 2004
The aim of the paper is to extend to Hilbert and Banach spaces certain results concerning the ``infinity Laplacian'' and related concepts proved in the finite-dimensional case in [\textit{M. G. Crandall, L. C. Evans} and \textit{R. Gariepy}, Calc. Var. Partial Differ. Equ. 13, No. 2, 123--139 (2001; Zbl 0996.49019)] and [\textit{R. Jensen}, Arch.
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A PDE Perspective of the Normalized Infinity Laplacian

Communications in Partial Differential Equations, 2008
The inhomogeneous normalized infinity Laplace equation was derived from the tug-of-war game in [21] with the positive right-hand-side as a running payoff.
Guozhen Lu, Peiyong Wang
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Constrained radial symmetry for the infinity-Laplacian

Nonlinear Analysis: Real World Applications, 2017
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