Results 161 to 170 of about 18,879 (188)
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2018
This provides a small selection of the enormous amount of information now available for the p–Laplacian. The existence of a solution of the Dirichlet problem is proved, together with a number of results concerning eigenvalues, including a version of the Courant nodal domain theorem.
David E. Edmunds, W. Desmond Evans
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This provides a small selection of the enormous amount of information now available for the p–Laplacian. The existence of a solution of the Dirichlet problem is proved, together with a number of results concerning eigenvalues, including a version of the Courant nodal domain theorem.
David E. Edmunds, W. Desmond Evans
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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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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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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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Eigenvalue problems for the p-Laplacian
Nonlinear Analysis: Theory, Methods & Applications, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Case of p-Laplacian Operator
2018We are interested in quasilinear elliptic problems over a half-space of the form $$\displaystyle\left \{ \begin {array}{l}\Delta _p u+f(u)=0 \mbox{ in } \mathbb {R}_+\times \mathbb {R}^{N-1},\\ u(0, x_2,\ldots , x_N)=u_0(x_2,\ldots , x_N), \end {array} \right .$$ and similar problems over a quarter-space $$\displaystyle\left \{ \begin {array}
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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. Manifold regularized semi-supervised learning (MRSSL) thus received intensive attention recently because it successfully exploits ...
Weifeng Liu 0001 +4 more
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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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What is the fractional Laplacian? A comparative review with new results
Journal of Computational Physics, 2020Fangying Song +2 more
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Laplacian Sparse Coding, Hypergraph Laplacian Sparse Coding, and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2013Ivor Tsang +2 more
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