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On the Fredholm alternative for the p-Laplacian
Applied Mathematics and Computation, 2004The author deals with the boundary value problem \[ (p-1)^{-1} ((\varphi_p(u'))'+ \alpha\varphi_p (u^+)- \beta\varphi_p (u^-))= f(\varphi_p(u))+ h(t) \text{ in }(0,T), \quad u(0)= u(T)= 0, \] where \(p>1\), \(\varphi_p(u)=| u|^{p-2}u\), \(T= (p-1)^{1/p} \alpha^{-1/p} \pi_p\), \(\pi_p= \frac {2\pi}{p}\sin (\frac \pi p)\), \(h\in L^\infty (0,T)\), \(f\in
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$p$ -Laplacian Regularization for Scene Recognition
IEEE Transactions on Cybernetics, 2019The explosive growth of multimedia data on the Internet makes it essential to develop innovative machine learning algorithms for practical applications especially where only a small number of labeled samples are available.
Weifeng Liu +4 more
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Resonance problems for p-Laplacian
Mathematics and Computers in Simulation, 2003The author proves the existence of a solution to the Dirichlet problem associated to an equation involving the \(p\)-Laplacian, whose nonlinearity satisfies a generalized Landesman-Lazer-type condition.
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On the Fu?�k Spectrum of the p-Laplacian
Nonlinear Differential Equations and Applications, 2004Let \(\Omega\) be a bounded domain in \({\mathbb R}^n\), \(n\geq1\).
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A nodal domain property for the p-Laplacian
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2000Summary: We show a partial version of the Courant nodal domain theorem for the \(p\)-Laplacian: any eigenfunction associated to the second eigenvalue has exactly two nodal domains. A similar result is also proved for the Fučik spectrum.
Gossez, Jean-Pierre +2 more
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p-Laplacian Equations on Locally Finite Graphs
, 2021Xiaoling Han, Mengqiu Shao
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A Picone's identity for the p-Laplacian and applications
Nonlinear Analysis: Theory, Methods & Applications, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Walter Allegretto, Yin Xi Huang
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Semi-supervised classification by graph p-Laplacian convolutional networks
Information Sciences, 2021Sichao Fu +4 more
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The Schrödinger-Poisson system with p-Laplacian
Applied Mathematics Letters, 2021Yao Du, Jiabao Su, Cong Wang
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