Results 131 to 140 of about 19,228,694 (296)

Remarks on uniqueness results of the first eigenvalue of the p-Laplacian [PDF]

, 1988
Guy Barles
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Multiple solutions for the $p$-Laplacian under global nonresonance [PDF]

, 1991
Manuel del Pino, Raúl Manásevich
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$p$-Laplacian and Lienard-Type Equation

Rocky Mountain Journal of Mathematics, 1997
Consider the Liénard-type equation \((*)\) \((|u'|^{p-2}u')' + \mu f(u)|u'|^{p-2}u' + g(u)=0\) where \(p>1\) and \(\mu\) is a small parameter. Under the assumptions that \(f\) and \(g\) are continuous and satisfy \(g(x)=-g(-x)\), \(g(x)x>0\) for \(x \neq 0\), \(f(x)=f(-x)\), and under additional conditions on \(F(x)=\int^x_0 f(s)ds\), the authors prove
Manásevich, Raúl, Sȩdziwy, Stanisł aw   +1 more
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Conservation of the Total Order of the Axial SiSi and N → Si Bonds in Oligosilanylsilatranes

ChemPhysChem, EarlyView.
Total bond order (the sum of inversely related bSiSi and bN → Si bond orders) in oligo‐silanylsilatranes is constant and equal to unity unequivocally proving 3c‐4e character of the N → SiSi bond and a distinct covalent contribution in the N → Si interaction.
Elena F. Belogolova, Evgeniya P. Doronina, Judith Baumgartner, Christoph Marschner, Viatcheslav V. Jouikov   +4 more
wiley   +1 more source

Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation

CAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Preserving population diversity and providing knowledge, which are two core tasks in the dynamic multi‐objective optimisation (DMO), are challenging since the sampling space is time‐ and space‐varying. Therefore, the spatiotemporal property of evolutionary information needs to be considered in the DMO.
Qinqin Fan, Min Jiang, Wentao Huang, Qingchao Jiang   +3 more
wiley   +1 more source

The existence of positive solutions for the one-dimensional $p$-Laplacian [PDF]

, 1997
Junyu Wang
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UV–Vis Spectra of Carbonic Acid: Rationalizing Experimental Redshifts between Monomer and Bulk based on (H2CO3)n Calculations

ChemPhysChem, EarlyView.
In bulk carbonic acid (e.g., in interstellar icy dust grains) cluster formation produces two distinct UV‐Vis spectral features redshifted by ≈2 eV (25 nm) and by ≈5 eV (80 nm) compared to gas phase single molecule carbonic acid 's adiabatic ionization energy. Theory and experiment were used to investigate the origin of these shifts.
Dennis F. Dinu, Bastian Klein, Chaojiang Zhang, Radu A. Talmazan, Thomas Loerting, Hinrich Grothe, Ralf I. Kaiser, Maren Podewitz   +7 more
wiley   +1 more source

A result on the bifurcation from the principal eigenvalue of theA_p‐Laplacian [PDF]

, 1997
Pavel Drábek, A. Elkhalil, Abdelfattah Touzani   +2 more
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Higher differentiability for the fractional p-Laplacian

Mathematische Annalen
Abstract In this work, we study the higher differentiability of solutions to the inhomogeneous fractional p-Laplace equation under different regularity assumptions on the data. In the superquadratic case, we extend and sharpen several previous results, while in the subquadratic regime our results constitute completely novel developments even ...
Diening, Lars, Kim, Kyeongbae, Lee, Ho-Sik, Nowak, Simon Noah   +3 more
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Bifurcation from eigencurves of the $p$-Laplacian

Differential and Integral Equations, 1995
The authors deal with the nonlinear eigenvalue problem: \[ -\Delta_ p u+ f(x, u)- \lambda m(x)| u|^{p-2} u= \mu| u|^{p-2}u \text{ in }\Omega, \quad u=0 \text{ on } \partial\Omega, \tag{P} \] where \(\Delta_ p u= \text{div}( | \nabla u|^{p-2} \nabla u)\) is the \(p\)-Laplacian with \(p\in (1,\infty)\) and \(\Omega\subset \mathbb{R}^ N\) is a bounded ...
Binding, P. A., Huang, Y. X.
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