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RealDeal: Enhancing Realism and Details in Brain Image Generation via Image-to-Image Diffusion Models. [PDF]
Zhu S +4 more
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Memristance and transmemristance in multiterminal memristive systems
Milano G +5 more
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Nonlinear wave propagation governed by a fractional derivative. [PDF]
Hoang VT +6 more
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p-Laplacian in phenomenological modeling of flow in porous media and CFD simulations
Petr Girg, Lukas Kotrla, Anezka Svandova
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Mixed eigenvalues of p-Laplacian
Frontiers of Mathematics in China, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Mu-Fa, Wang, Lingdi, Zhang, Yuhui
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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
Proceedings of the American Mathematical Society, 1997Summary: We consider the problem \[ -(|u'|^{p-2} u')'=\lambda|u|^{p-2} u+f(x),\quad x\in (0,1),\quad u(0)=\beta u'(0),\quad u'(1)=0, \] where \(p>1\) and \(\beta\in\mathbb{R}\cup\{\infty\}\). Let \(\lambda_1\) be the principal eigenvalue of the problem with \(f(x)\equiv 0\).
Binding, Paul A. +2 more
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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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