Results 11 to 20 of about 36,464 (226)
Eigenvalue problems for the p-Laplacian with indefinite weights
Electronic Journal of Differential Equations, 2001 We consider the eigenvalue problem $-Delta_p u=lambda V(x) |u|^{p-2} u, uin W_0^{1,p} (Omega)$ where $p>1$, $Delta_p$ is the p-Laplacian operator, $lambda >0$, $Omega$ is a bounded domain in $mathbb{R}^N$ and $V$ is a given function in $L^s (Omega)$ ($s$
Mabel Cuesta
doaj +2 more sources
Asymmetric elliptic problems with indefinite weights [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2002 We prove the existence of a first nontrivial eigenvalue for an asymmetric elliptic problem with weights involving the laplacian (cf. (1.2) below) or more generally the p -laplacian (cf. (1.3) below).
Arias, M. +3 more
core +4 more sources
Nodal solutions of weighted indefinite problems [PDF]
Journal of Evolution Equations, 2020 This paper analyzes the structure of the set of nodal solutions of a class of one-dimensional superlinear indefinite boundary values problems with an indefinite weight functions in front of the spectral parameter. Quite astonishingly, the associated high order eigenvalues might not be concave as it is the lowest one.
M. Fencl, J. López-Gómez
openaire +5 more sources
EIGENVALUE HOMOGENISATION PROBLEM WITH INDEFINITE WEIGHTS [PDF]
Bulletin of the Australian Mathematical Society, 2015 In this work we study the homogenisation problem for nonlinear elliptic equations involving$p$-Laplacian-type operators with sign-changing weights. We study the asymptotic behaviour of variational eigenvalues which consist of a double sequence of eigenvalues.
Fernandez Bonder, Julian +2 more
openaire +4 more sources
Modified moments for indefinite weight functions [PDF]
Numerische Mathematik, 1990 The problem of generating the recurrence coefficients of orthogonal polynomials from the moments or from modified moments of the weight function is well understood for positive weight distributions. Here we extend this theory and the basic algorithms to the case of an indefinite weight function.
Golub, Gene H., Gutknecht, Martin H.
openaire +2 more sources
Elliptic problems involving an indefinite weight [PDF]
Transactions of the American Mathematical Society, 1990 We consider a selfadjoint elliptic eigenvalue problem, which is derived formally from a variational problem, of the form L u = λ ω ( x ) u Lu = \lambda \omega (x)u in Ω \Omega , B j u =
openaire +2 more sources
Principal Eigenvalues with Indefinite Weight Functions [PDF]
Transactions of the American Mathematical Society, 1997 Both existence and non-existence results for principal eigenvalues of an elliptic operator with indefinite weight function have been proved. The existence of a continuous family of principal eigenvalues is demonstrated.
openaire +2 more sources
On Indefinite Sums Weighted by Periodic Sequences [PDF]
Results in Mathematics, 2019 For any integer $q\geq 2$ we provide a formula to express indefinite sums of a sequence $(f(n))_{n\geq 0}$ weighted by $q$-periodic sequences in terms of indefinite sums of sequences $(f(qn+p))_{n\geq 0}$, where $p\in\{0,\ldots,q-1\}$. When explicit expressions for the latter sums are available, this formula immediately provides explicit expressions ...
openaire +4 more sources
On the Fučík spectrum with indefinite weights
Differential and Integral Equations, 2001 19 pages, to appear in Diff.
Gossez, Jean-Pierre, Alif, Mohssine
openaire +4 more sources
𝑝(𝑥)-Laplacian with indefinite weight [PDF]
Proceedings of the American Mathematical Society, 2011 We consider the eigenvalue problem − div ( | ∇ u | p ( x ) − 2 ∇ u )
openaire +1 more source