Results 91 to 100 of about 35,592 (307)
Eigenvalue problems with p-Laplacian operators
In this article, we study eigenvalue problems with the p-Laplacian operator: $$ -(|y'|^{p-2}y')'= (p-1)(\lambda\rho(x)-q(x))|y|^{p-2}y \quad \text{on } (0,\pi_{p}), $$ where p>1 and $\pi_{p}\equiv 2\pi/(p\sin(\pi/p))$.
Yan-Hsiou Cheng
doaj
Periodic solutions for nonlocal p(t) $p(t)$-Laplacian systems
The purpose of this paper is to investigate the existence of periodic solutions for a class of nonlocal p(t) $p(t)$-Laplacian systems. When the nonlinear term is p+ $p^{+}$-superlinear at infinity, some new solvability conditions of nontrivial periodic ...
Shengui Zhang
doaj +1 more source
Eigenvalue Bounds for the Signless $p$-Laplacian
We consider the signless $p$-Laplacian $Q_p$ of a graph, a generalisation of the quadratic form of the signless Laplacian matrix (the case $p=2$). In analogy to Rayleigh's principle the minimum and maximum of $Q_p$ on the $p$-norm unit sphere are called its smallest and largest eigenvalues, respectively.
Elizandro Max Borba, Uwe Schwerdtfeger
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Side‐on coordinated alkaline earth metal hypofluorites F′M(η2‐OF) (M = Mg, Ca, Sr, and Ba) were prepared through the reactions of laser‐ablated metal atoms with OF2 in argon matrices. The species feature a fluorido F′− and a side‐on coordinated η2‐OF− ligand with the M─F─O─F′ dihedral angle increasing from calcium to barium, which parallel the non ...
Xiya Xia, Robert Medel, Sebastian Riedel
wiley +1 more source
Asymmetric critical fractional p-Laplacian problems
We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
doaj
Strain‐Release Driven Arsenium Ion Bond Insertion
Although it marks a cornerstone of pnictenium ion [R2Pn]+ reactivity, the insertion of arsenium ions [R2As]+ into non‐polar bonds remains highly challenging. Herein, a synthetic approach is developed, which circumvents the limitations of insertion reactivity of [R2As]+ (e.g.
Christoph Riesinger+4 more
wiley +1 more source
Competing anisotropic and Finsler ( p , q ) $(p,q)$ -Laplacian problems
The aim of this paper is to prove the existence of generalized variational solutions for nonlinear Dirichlet problems driven by anisotropic and Finsler Laplacian competing operators.
Dumitru Motreanu, Abdolrahman Razani
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Uniqueness and stability of solutions without the boundary condition
A parabolic equation related to the p-Laplacian is considered. If the equation is degenerate on the boundary, then demonstrating the regularity on the boundary is difficult, the trace on the boundary cannot be defined, in general.
Huashui Zhan
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Higher differentiability for the fractional p-Laplacian
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+3 more
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In CH2X2 (X=Cl, Br, and I) molecules, the magnitude of σ‐hole on the X atom decreases from CH2I2 to CH2Cl2 . Three different types of interactions i. e., C−X⋅⋅⋅O halogen bond, and C−H⋅⋅⋅O and O−H⋅⋅⋅X hydrogen bond, are possible in [CH3OH−CH2X2] complexes.
Sumit Kumar Agrawal+2 more
wiley +1 more source