Results 11 to 20 of about 3,505,030 (302)
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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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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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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Eigenvalues of the p-Laplacian in fractal strings with indefinite weights [PDF]
Journal of Mathematical Analysis and Applications, 2005 The asymptotic behavior of the spectral counting function is studied for the boundary value problem \[ -(\psi_p(u'))'=\lambda r(x)\psi_p(u),\; x\in\Omega, \] with Dirichlet boundary conditions, where \(\Omega\) is a bounded open set in \({\mathbb R}\), \(p>1\), \(\lambda\) is a real spectral parameter, \(\psi_p(s)=| s| ^{p-2}s\), and the weight \(r ...
Julián Fernández Bonder +1 more
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Existence of positive solutions of a superlinear boundary value problem with indefinite weight
, 2015 We deal with the existence of positive solutions for a two-point boundary value problem associated with the nonlinear second order equation $u''+a(x)g(u)=0$. The weight $a(x)$ is allowed to change its sign. We assume that the function $g\colon\mathopen{[}
A. Zettl +11 more
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On positive solutions of second-order delayed differential system with indefinite weight
Boundary Value Problems, 2021 In this paper, we study the existence of positive solutions of a second-order delayed differential system, in which the weight functions may change sign. To prove our main results, we apply Krasnosel’skii’s fixed point theorems in cones.
Fanglei Wang, Ran Ding
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AIMS MathematicsExistence and multiplicity of three weak solutions for a Leray-Lions $ p(x) $-biharmonic problem involving Hardy potential and indefinite weight were proved. Our main tools combined variational methods and some critical theorems.
K. Kefi , Jian Liu
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Positive solutions to indefinite Neumann problems when the weight has positive average
, 2015 We deal with positive solutions for the Neumann boundary value problem associated with the scalar second order ODE $$ u" + q(t)g(u) = 0, \quad t \in [0, T], $$ where $g: [0, +\infty[\, \to \mathbb{R}$ is positive on $\,]0, +\infty[\,$ and $q(t)$ is an ...
A. Boscaggin +16 more
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Boundedness and monotonicity of principal eigenvalues for boundary value problems with indefinite weight functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We study the principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem: −Δu(x)=λg(x)u(x), x∈D;(∂u/∂n)(x)+αu(x)=0, x∈∂D, where Δ is the standard Laplace operator, D is a bounded domain with smooth ...
G. A. Afrouzi
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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
Margheri A, Rebelo C, Zanolin F.
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