Results 1 to 10 of about 12,601 (208)
A Counterexample for Singular Equations with Indefinite Weight
Advanced Nonlinear Studies, 2017 We construct a second-order equation xΒ¨=hβ’(t)/xp{\ddot{x}=h(t)/x^{p}}, with p>1{p>1} and the sign-changing, periodic weight function h having negative mean, which does not have periodic solutions.
UreΓ±a Antonio J.
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Existence Results for Quasilinear Elliptic Equations with Indefinite Weight [PDF]
Abstract and Applied Analysis, 2012 We provide the existence of a solution for quasilinear elliptic equation βdiv(πβ(π₯)|βπ’|πβ2βπ’+Μπ(π₯,|βπ’|)βπ’)=ππ(π₯)|π’|πβ2π’+π(π₯,π’)+β(π₯) in Ξ© under the Neumann boundary condition.
Mieko Tanaka
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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
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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. LΓ³pez-GΓ³mez
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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
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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.
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High Multiplicity and Chaos for an Indefinite Problem Arising from Genetic Models
Advanced Nonlinear Studies, 2020 We deal with the periodic boundary value problem associated with the parameter-dependent second-order nonlinear differential ...
Boscaggin Alberto +2 more
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Open Mathematics, 2021 This paper provides a uniqueness result for positive solutions of the Neumann and periodic boundary value problems associated with the Ο-Laplacian equation (Ο(uβ²))β²+a(t)g(u)=0,(\phi \left(u^{\prime} ))^{\prime} +a\left(t)g\left(u)=0, where Ο is a ...
Boscaggin Alberto +2 more
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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 = Ξ» Ο ( x ) u Lu = \lambda \omega (x)u in Ξ© \Omega , B j u =
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Three positive solutions of $N$-dimensional $p$-Laplacian with indefinite weight
Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper is concerned with the global behavior of components of positive radial solutions for the quasilinear elliptic problem with indefinite weight \begin{equation*} \begin{aligned} &\text{div}(\varphi_p(\nabla u))+\lambda h(x)f(u)=0, & & \text{in ...
Tianlan Chen, Ruyun Ma
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