Results 21 to 30 of about 3,534,316 (293)
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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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{[}
Guglielmo Feltrin
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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 ...
Alberto Boscaggin, Maurizio Garrione
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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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Periodic solutions for a singular Liénard equation with indefinite weight [PDF]
Topological Methods in Nonlinear Analysis, 2019 In this paper, the existence of positive periodic solutions is studied for a singular Lienard equation where the weight function has an indefinite sign.
Shiping Lu, Runyu Xue
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AIMS MathematicsThis paper explores the multiplicity of weak solutions to a class of weighted elliptic problems with variable exponents, incorporating a Hardy term and a nonlinear indefinite source term.
Khaled Kefi, Nasser S. Albalawi
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Periodic Solutions of a Singular Equation With Indefinite Weight
Advanced Nonlinear Studies, 2010 AbstractMotivated 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.
José Luis Bravo, Pedro J. Torres
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A spectral problem with an indefinite weight for an elliptic system
Electronic Journal of Differential Equations, 1997 We establish the completeness and the summability in the sense of Abel-Lidskij of the root vectors of a non-selfadjoint elliptic problem with an indefinite weight matrix and the angular distribution of its eigenvalues.
Mamadou Sango
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Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness [PDF]
Bulletin of the London Mathematical Society, 2023 In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, −Δpau−Δqu=λm(x)|u|q−2uinRN,$$\begin{equation*} \hspace*{3pc}-\Delta _p^a u-\Delta _q u =\lambda m(x)|u|^{q-2}u \quad \mbox{in} \,\,
Tian-Xiang Gou, V. Rǎdulescu
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