Results 41 to 50 of about 2,182,015 (280)
Three positive solutions of $N$-dimensional $p$-Laplacian with indefinite weight
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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Modified moments for indefinite weight functions [PDF]
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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On an oblique derivative problem involving an indefinite weight [PDF]
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.
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Optimization of the First Eigenvalue of Equations with Indefinite Weights
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.
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On the Steklov problem involving the p(x)-Laplacian with indefinite weight [PDF]
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
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Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight
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
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Principal eigenvalues for indefinite-weight elliptic problems in 𝑅ⁿ [PDF]
We consider the problem − Δ
K. J. Brown, C. Cosner, J. Fleckinger
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Periodic Solutions of a Singular Equation With Indefinite Weight
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.
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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
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Sturm-Liouville Operators with Indefinite Weight Functions and Eigenvalue Depending Boundary Conditions [PDF]
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
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