Results 91 to 100 of about 111,413 (237)

Eigenvalue problems with \(p\)-Laplacian operators

Electronic Journal of Differential Equations, 2014
Summary: 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 \(\pi_p\equiv 2\pi/(p\sin(\pi/p))\). We show that if \(\rho\equiv 1\) and \(q\) is single-well with transition point \(a= \pi_p/2\), then the second Neumann eigenvalue is ...
openaire   +2 more sources

Staying Offline or Going Online? Managing the Establishment of Service Platforms

Managerial and Decision Economics, EarlyView.
ABSTRACT We study a global game in which consumers and sellers decide whether to join a service platform and interact more efficiently online. Uncertainties about the platform's technology value and users' participation behavior on both market sides cause a coordination problem.
Marit Holler, Manfred Stadler, Lukas Stickel   +2 more
wiley   +1 more source

Bifurcation from the first eigenvalue of the p-Laplacian with nonlinear boundary condition

Electronic Journal of Differential Equations, 2019
We consider the problem $$\displaylines{ \Delta_{p}u =|u|^{p-2}u \quad\text{in }\Omega, \cr |\nabla u|^{p-2}\frac{\partial u}{\partial \nu}=\lambda|u|^{p-2}u + g(\lambda,x,u) \quad\text{on }\partial\Omega, }$$ where $\Omega$ is a bounded domain of $
Mabel Cuesta, Liamidi A. Leadi, Pascaline Nshimirimana   +2 more
doaj  

Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales

Journal of Applied Mathematics, 2012
Let T be a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-
Hua Su, Lishan Liu, Xinjun Wang
doaj   +1 more source

The p-Laplacian operator in oscillating thin domains

, 2018
In this paper we study the asymptotic behavior of the solutions of a class of nonlinear elliptic problems posed in a 2-dimensional domain that degenerates into a line segment (a thin domain) when a positive parameter $\varepsilon$ goes to zero. We also allow high oscillating behavior on the upper boundary of the thin domain as $\varepsilon \to 0 ...
Nakasato, Jean Carlos, Pereira, Marcone Corrêa   +1 more
openaire   +2 more sources

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Chern–Simons Higgs models for p-Laplacian on finite graphs: a topological degree approach

Advanced Nonlinear Studies
We investigate the Chern–Simons Higgs models for p-Laplacian on a connected finite graph, employing topological degree theory as our main tool. Notably, we overcome the difficulties arising from the nonlinearity of p-Laplacian operator and calculate the ...
Liu Chunlian, Ge Yating, Wang Linfeng
doaj   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

Impulsive Fractional Differential Equations with p-Laplacian Operator in Banach Spaces

Journal of Function Spaces, 2018
In this paper, we study a class of boundary value problem (BVP) with multiple point boundary conditions of impulsive p-Laplacian operator fractional differential equations.
Jingjing Tan, Kemei Zhang, Meixia Li
doaj   +1 more source

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley   +1 more source