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On the fourth-order Leray–Lions problem with indefinite weight and nonstandard growth conditions [PDF]
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 global bifurcation result of a Neumann problem with indefinite weight [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2004 This paper is concerned with the bifurcation result of nonlinear Neumann problem \begin{equation} \left\{\begin{array}{lll} -\Delta_p u=& \lambda m(x)|u|^{p-2}u + f(\lambda,x,u)& \mbox{in} \ \Omega\\ \frac{\partial u}{\partial \nu}\hspace{0.55cm}= & 0 &
Abdelouahed El Khalil, M. Ouanan
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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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Fixed points for planar maps with multiple twists, with application to nonlinear equations with indefinite weight [PDF]
Philos Trans A Math Phys Eng Sci, 2021 In this paper, we investigate the dynamical properties associated with planar maps which can be represented as a composition of twist maps together with expansive–contractive homeomorphisms. The class of maps we consider present some common features both
A. Margheri, C. Rebelo, F. Zanolin
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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 = λ ω ( x ) u Lu = \lambda \omega (x)u in Ω \Omega , B j u =
M. Faierman
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A Counterexample for Singular Equations with Indefinite Weight [PDF]
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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Optimization of the principal eigenvalue of the Neumann Laplacian with indefinite weight and monotonicity of minimizers in cylinders [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2023 Let $\Omega\subset\mathbb{R}^N$ , $N\geq 1$ , be an open bounded connected set. We consider the indefinite weighted eigenvalue problem $-\Delta u =\lambda m u$ in Ω ...
Claudia Anedda, Fabrizio Cuccu
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Open Mathematics, 2022 In this article, we focus on the existence of positive solutions and establish a corresponding iterative scheme for a nonlinear fourth-order equation with indefinite weight and Neumann boundary conditions y(4)(x)+(k1+k2)y″(x)+k1k2y(x)=λh(x)f(y(x)),x∈[0,1]
Wang Jingjing, Gao Chenghua, He Xingyue
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On the spectrum of elliptic operators with respect to indefinite weights
Linear Algebra and its Applications, 1986 Recent results of linear elliptic eigenvalue problems with respect to indefinite weight functions are recalled, and some applications are given.
Peter Heß
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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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