Results 51 to 60 of about 19,228,694 (296)

Eigenvalues and the One-Dimensional p-Laplacian

open access: yesJournal of Mathematical Analysis and Applications, 2002
The authors are concerned with determining values of \(\lambda\), for which there exist positive solutions to the boundary value problem \[ (\phi_p(u'))'+ \lambda F(t,u)= 0\quad\text{in }(0,1),\quad u(0)= u(1)= 0,\tag{P} \] with \(\phi_p(s)=|s|^{p-2}s\) and \(p> 1\).
Agarwal, Ravi P.   +2 more
openaire   +4 more sources

Eigenvalues for a nonlocal pseudo $p-$Laplacian [PDF]

open access: yesDiscrete and Continuous Dynamical Systems, 2016
In this paper we study the eigenvalue problems for a nonlocal operator of order $s$ that is analogous to the local pseudo $p-$Laplacian. We show that there is a sequence of eigenvalues $ _n \to \infty$ and that the first one is positive, simple, isolated and has a positive and bounded associated eigenfunction.
del Pezzo, Leandro Martin   +1 more
openaire   +4 more sources

Positive solutions for the Robin p-Laplacian problem with competing nonlinearities

open access: yesAdvances in Calculus of Variations, 2019
We consider a parametric nonlinear elliptic equation driven by the Robin p-Laplacian. The reaction term is a Carathéodory function which exhibits competing nonlinearities (concave and convex terms).
L. Gasiński, N. Papageorgiou
semanticscholar   +1 more source

Inverse problems for nonlinear quasi-variational inequalities with an application to implicit obstacle problems of p -Laplacian type [PDF]

open access: yesInverse Problems, 2019
The primary objective of this research is to investigate an inverse problem of parameter identification in nonlinear mixed quasi-variational inequalities posed in a Banach space setting.
S. Migórski   +2 more
semanticscholar   +1 more source

A nodal domain theorem and a higher-order Cheeger inequality for the graph $p$-Laplacian [PDF]

open access: yes, 2016
We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational principle. We prove a nodal domain theorem for the graph $p$-Laplacian for any $p\geq 1$. While for $p>1$ the
Hein, Matthias, Tudisco, Francesco
core   +1 more source

Experimental and Theoretical Confirmation of Covalent Bonding in α‐Pu

open access: yesAdvanced Functional Materials, EarlyView.
From a combination of Reverse Monte Carlo dynamic rigid body fitting to the pair distribution functional and novel density functional approaches, the existence of covalent bonding is confirmed in α‐plutonium alongside other bonding types (i.e. mixed bonding schemes).
Alexander R. Muñoz   +10 more
wiley   +1 more source

A semi-Lagrangian scheme for the game $p$-Laplacian via $p$-averaging

open access: yes, 2013
We present and analyze an approximation scheme for the two-dimensional game $p$-Laplacian in the framework of viscosity solutions. The approximation is based on a semi-Lagrangian scheme which exploits the idea of $p$-averages.
Falcone, M.   +3 more
core   +1 more source

On fractional $p$-Laplacian problems with weight

open access: yesDifferential and Integral Equations, 2015
10 ...
Lehrer, R., Maia, L., Squassina, Marco
openaire   +5 more sources

The one-phase bifurcation for the p-Laplacian [PDF]

open access: yesJournal of Differential Equations, 2019
A bifurcation about the uniqueness of a solution of a singularly perturbed free boundary problem of phase transition associated with the p-Laplacian, subject to given boundary condition is proved in this paper. We show this phenomenon by proving the existence of a third solution through the Mountain Pass Lemma when the boundary data decreases below a ...
Alaa Akram Haj Ali, Peiyong Wang
openaire   +3 more sources

Enhancing the Photocatalytic Performance of Carbon Nitrides Through Controlled Local Structure Modification

open access: yesAdvanced Functional Materials, EarlyView.
This work utilizes poly(heptazine imides) as a model system to demonstrate how fine‐tuning the crystal structure influences the photocatalytic properties of layered carbon nitrides in the hydrogen evolution reaction. In particular, the nature of rotational defects and the hydration shell of cations are key contributors to enhanced hydrogen evolution ...
Diana V. Piankova   +11 more
wiley   +1 more source

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