Results 41 to 50 of about 2,182,015 (280)

Three positive solutions of $N$-dimensional $p$-Laplacian with indefinite weight

open access: yesElectronic 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
doaj   +1 more source

Modified moments for indefinite weight functions [PDF]

open access: yesNumerische 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

On an oblique derivative problem involving an indefinite weight [PDF]

open access: yes, 1994
summary:In this paper we derive results concerning the angular distrubition of the eigenvalues and the completeness of the principal vectors in certain function spaces for an oblique derivative problem involving an indefinite weight function for a second
Faierman, M.
core   +1 more source

Optimization of the First Eigenvalue of Equations with Indefinite Weights

open access: yesAdvanced Nonlinear Studies, 2013
Abstract We investigate minimization and maximization of the principal eigenvalue of the Laplacian under Dirichlet boundary conditions in case the weight has indefinite sign and varies in a class of rearrangements. Biologically, such optimization problems are motivated by the question of determining the most convenient spatial ...
Cosner, C, CUCCU, FABRIZIO, Porru, G.
openaire   +4 more sources

On the Steklov problem involving the p(x)-Laplacian with indefinite weight [PDF]

open access: yesOpuscula Mathematica, 2017
Under suitable assumptions, we study the existence of a weak nontrivial solution for the following Steklov problem involving the \(p(x)\)-Laplacian \[\begin{cases}\Delta_{p(x)}u=a(x)|u|^{p(x)-2}u \quad \text{in }\Omega, \\ |\nabla u|^{p(x)-2}\frac ...
Khaled Ben Ali   +2 more
doaj   +1 more source

Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we consider bifurcation from zero or infinity of nontrivial solutions of the nonlinear Sturm–Liouville problem with indefinite weight. This problem is mainly important because of it is related with a selection-migration model in genetic ...
Ziyatkhan Aliyev, Leyla Nasirova
doaj   +1 more source

Principal eigenvalues for indefinite-weight elliptic problems in 𝑅ⁿ [PDF]

open access: yesProceedings of the American Mathematical Society, 1992
We consider the problem − Δ
K. J. Brown, C. Cosner, J. Fleckinger
openaire   +3 more sources

Periodic Solutions of a Singular Equation With Indefinite Weight

open access: yesAdvanced Nonlinear Studies, 2010
Abstract Motivated by some relevant physical applications, we study the existence and uniqueness of T-periodic solutions for a second order differential equation with a piecewise constant singularity which changes sign. Other questions like the stability and robustness of the periodic solution are considered.
Bravo, José Luis, Torres, Pedro J.
openaire   +2 more sources

Existence and Multiplicity of Periodic Solutions to Indefinite Singular Equations Having a Non-monotone Term with Two Singularities

open access: yesAdvanced Nonlinear Studies, 2019
Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u′′=h⁢(t)⁢g⁢(u){u^{\prime\prime}=h(t)g(u)} are established.
Hakl Robert, Zamora Manuel
doaj   +1 more source

Sturm-Liouville Operators with Indefinite Weight Functions and Eigenvalue Depending Boundary Conditions [PDF]

open access: yes, 2021
We consider a class of boundary value problems for Sturm-Liouville operators with an indefinite weight function. The spectral parameter appears nonlinearly in the boundary condition in the form of a function \tau which has the property that \lambda tau ...
Behrndt, Jussi, Trunk, Carsten
core   +1 more source

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