Results 111 to 120 of about 35,592 (307)

A Weyl law for the p-Laplacian

Journal of Functional Analysis
We show that a Weyl law holds for the variational spectrum of the $p$-Laplacian. More precisely, let $( _i)_{i=1}^\infty$ be the variational spectrum of $ _p$ on a closed Riemannian manifold $(X,g)$ and let $N( ) = \#\{i:\, _i < \}$ be the associated counting function.
openaire   +2 more sources

Efficient and model‐agnostic parameter estimation under privacy‐preserving post‐randomization data

Canadian Journal of Statistics, EarlyView.
Abstract Balancing data privacy with public access is critical for sensitive datasets. However, even after de‐identification, the data are still vulnerable to, for example, inference attacks (by matching some keywords with external datasets). Statistical disclosure control (SDC) methods offer additional protection, and the post‐randomization method ...
Qinglong Tian, Jiwei Zhao
wiley   +1 more source

Lower bounds for the first eigenvalues of the p-Laplacian and the weighted p-Laplacian [PDF]

Mathematical Inequalities & Applications, 2020
He-Jun Sun, Cheng ue Han, Ling-Zhong Zeng   +2 more
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Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta, Jiwoon Park, Gordon Slade   +2 more
wiley   +1 more source

On a problem of lower limit in the study of nonresonance

Abstract and Applied Analysis, 1997
We prove the solvability of the Dirichlet problem {−Δpu=f(u)+h   in   Ω,              u=0                     on  ∂Ω for every given h, under a condition involving only the asymptotic behaviour of the potential F of f with respect to the first ...
A. Anane, O. Chakrone
doaj   +1 more source

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

, 1988
Guy Barles
openalex   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun, Seong‐Mi Seo, Meng Yang   +2 more
wiley   +1 more source

Multiple solutions for the $p$-Laplacian under global nonresonance [PDF]

, 1991
Manuel del Pino, Raúl Manásevich
openalex   +1 more source

Molecular Hydrogen as a Proton Donor in HH···F Hydrogen Bonds—BF4−···(H2)n Clusters

ChemPhysChem, EarlyView.
The MP2/6‐311++G(d,p) calculations performed on the BF4−···H2 complex and BF4−···(H2)n clusters indicate the occurrence within the HH···F hydrogen bonds. These are weak interactions of energies of about −1.7 kcal mol−1 where the main stabilizing forces are related to the electron charge shifts.
Sławomir J. Grabowski
wiley   +1 more source

A multiplicity theorem for problems with the p-Laplacian

Journal of Functional Analysis, 2007
AbstractWe consider a nonlinear elliptic problem driven by the p-Laplacian, with a parameter λ∈R and a nonlinearity exhibiting a superlinear behavior both at zero and at infinity. We show that if the parameter λ is bigger than λ2=the second eigenvalue of (−Δp,W01,p(Z)), then the problem has at least three nontrivial solutions. Our approach combines the
Nikolaos S. Papageorgiou, Evgenia H. Papageorgiou   +1 more
openaire   +2 more sources