Results 101 to 110 of about 159,722 (293)

Existence and uniqueness for a p-Laplacian nonlinear eigenvalue problem

Electronic Journal of Differential Equations, 2010
We consider the Dirichlet eigenvalue problem $$ -mathop{ m div}(| abla u|^{p-2} abla u ) =lambda | u|_q^{p-q}|u|^{q-2}u, $$ where the unknowns $uin W^{1,p}_0(Omega )$ (the eigenfunction) and $lambda >0$ (the eigenvalue), $Omega $ is an arbitrary ...
Giovanni Franzina, Pier Domenico Lamberti   +1 more
doaj  

Integrability, exact solutions and nonlinear dynamics of a nonisospectral integral-differential system

Open Physics, 2019
The investigations of integrability, exact solutions and dynamics of nonlinear partial differential equations (PDEs) are vital issues in nonlinear mathematical physics.
Xu Bo, Zhang Sheng
doaj   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Global bifurcation result for the p-biharmonic operator

Electronic Journal of Differential Equations, 2001
We prove that the nonlinear eigenvalue problem for the p-biharmonic operator with $p > 1$, and $Omega$ a bounded domain in $mathbb{R}^N$ with smooth boundary, has principal positive eigenvalue $lambda_1$ which is simple and isolated.
Pavel Drabek, Mitsuharu Otani
doaj  

Positive Solutions for Nonlinear Eigenvalue Problems

Journal of Mathematical Analysis and Applications, 1997
The authors are concerned with determining values of \(\lambda\) (eigenvalues), for which there exist positive solutions of the boundary value problem \[ (1_\lambda)\quad u''+\lambda a(t)f(u)=0 ...
Henderson, Johnny, Wang, Haiyan
openaire   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

On "Nonlinear eigenvalue problems"

, 2014
6 ...
openaire   +2 more sources

Nonlinear eigenvalue Neumann problems with discontinuities

Journal of Mathematical Analysis and Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Quantifying Model Selection Uncertainty in Structural Analysis: Methodology and Application

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT With increasing focus on complex engineering systems under rare events, computational models are critical for predictions due to the scarcity or absence of data. However, selecting an appropriate model can be challenging. Using a single model without available test calibration could result in significant bias in performance predictions. A case
Ya‐Heng Yang, Tracy C. Becker
wiley   +1 more source

Pointwise bounds for positive supersolutions of nonlinear elliptic problems involving the p-Laplacian

Electronic Journal of Differential Equations, 2017
We derive a priori bounds for positive supersolutions of $-\Delta_p u = \rho(x) f(u)$, where p >1 and $\Delta_p$ is the p-Laplace operator, in a smooth bounded domain of $\mathbb{R}^N$ with zero Dirichlet boundary conditions. We apply our results to
Asadollah Aghajani, Alireza Mosleh Tehrani   +1 more
doaj