Results 21 to 30 of about 2,067,545 (283)
Spectrum of one dimensional p-Laplacian operator with indefinite weight
Electronic Journal of Qualitative Theory of Differential Equations, 2002 This paper is concerned with the nonlinear boundary eigenvalue problem $$-(|u'|^{p-2}u')'=\lambda m|u|^{p-2}u\qquad u \in I=]a,b[,\quad u(a)=u(b)=0,$$ where $p>1$, $\lambda$ is a real parameter, $m$ is an indefinite weight, and $a$, $b$ are real numbers.
Mohammed Moussa, A. Anane, Omar Chakrone
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On the Steklov problem involving the p(x)-Laplacian with indefinite weight [PDF]
Opuscula 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
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Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight
Electronic 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
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Optimization of the First Eigenvalue of Equations with Indefinite Weights
Advanced 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.
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Principal eigenvalues for problems with indefinite weight function on 𝑅ⁿ [PDF]
Proceedings of the American Mathematical Society, 1990 We investigate the existence of positive principal eigenvalues of the problem −
K. J. Brown, C. Cosner, J. Fleckinger
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 We consider a nonlinearizable eigenvalue problem for the beam equation with an indefinite weight function. We investigate the structure of bifurcation set and study the behavior of connected components of the solution set bifurcating from the line of ...
Ziyatkhan Aliyev, Rada Huseynova
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Periodic Solutions of a Singular Equation With Indefinite Weight
Advanced 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.
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Advanced 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
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On the fourth-order Leray–Lions problem with indefinite weight and nonstandard growth conditions
Bulletin of Mathematical Sciences, 2022 We prove the existence of at least three weak solutions for the fourth-order problem with indefinite weight involving the Leray–Lions operator with nonstandard growth conditions.
K. Kefi +3 more
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A Dual‐Branch Flux‐Based Extended Memristor Model With Machine‐Learning‐Assisted Calibration
Advanced Electronic Materials, EarlyView.Multilayer oxide memristors integrated in crossbar arrays are described through a dual‐branch, flux‐controlled compact model. A three‐stage calibration workflow combining Latin hypercube sampling, Bayesian optimization, and gradient‐based refinement extracts device parameters from experimental data.
Davide Rossetti +6 more
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