Results 1 to 10 of about 2,067,545 (283)
A Counterexample for Singular Equations with Indefinite Weight
Advanced Nonlinear Studies, 2017 We construct a second-order equation x¨=h(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.
Ureña 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 −div(𝑎∞(𝑥)|∇𝑢|𝑝−2∇𝑢+̃𝑎(𝑥,|∇𝑢|)∇𝑢)=𝜆𝑚(𝑥)|𝑢|𝑝−2𝑢+𝑓(𝑥,𝑢)+ℎ(𝑥) in Ω under the Neumann boundary condition.
Mieko Tanaka
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Steklov problem with an indefinite weight for the p-Laplacian
Electronic Journal of Differential Equations, 2005 Let $Omegasubsetmathbb{R}^{N}$, with $Ngeq2$, be a Lipschitz domain and let 1 lees than p less than $infty$. We consider the eigenvalue problem $Delta_{p}u=0$ in $Omega$ and $| abla u|^{p-2}frac{partial u}{partial u}=lambda m|u|^{p-2}u$ on $partialOmega$
Olaf Torne
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Eigenvalues and bifurcation for Neumann problems with indefinite weights
Electronic Journal of Differential Equations, 2021 We consider eigenvalue problems and bifurcation of positive solutions for elliptic equations with indefinite weights and with Neumann boundary conditions. We give complete results concerning the existence and non-existence of positive solutions for the superlinear coercive and non-coercive problems, showing a surprising complementarity of the ...
Marta Calanchi, Bernhard Ruf
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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. López-Gómez
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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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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).
Gossez, Jean-Pierre +3 more
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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 ϕ-Laplacian equation (ϕ(u′))′+a(t)g(u)=0,(\phi \left(u^{\prime} ))^{\prime} +a\left(t)g\left(u)=0, where ϕ is a ...
Boscaggin Alberto +2 more
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