Results 11 to 20 of about 2,067,545 (283)
On the Fučík spectrum with indefinite weights
Differential and Integral Equations, 2001 19 pages, to appear in Diff.
Gossez, Jean-Pierre, Alif, Mohssine
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On Indefinite Sums Weighted by Periodic Sequences [PDF]
Results in Mathematics, 2019 For any integer $q\geq 2$ we provide a formula to express indefinite sums of a sequence $(f(n))_{n\geq 0}$ weighted by $q$-periodic sequences in terms of indefinite sums of sequences $(f(qn+p))_{n\geq 0}$, where $p\in\{0,\ldots,q-1\}$. When explicit expressions for the latter sums are available, this formula immediately provides explicit expressions ...
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Indefinite Eigenvalue Problems for p-Laplacian Operators with Potential Terms on Networks
Abstract and Applied Analysis, 2014 We address some forward and inverse problems involving indefinite eigenvalues for discrete p-Laplacian operators with potential terms. These indefinite eigenvalues are the discrete analogues of p-Laplacians on Riemannian manifolds with potential terms ...
Jea-Hyun Park, Soon-Yeong Chung
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Principal Eigenvalues with Indefinite Weight Functions [PDF]
Transactions of the American Mathematical Society, 1997 Both existence and non-existence results for principal eigenvalues of an elliptic operator with indefinite weight function have been proved. The existence of a continuous family of principal eigenvalues is demonstrated.
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A Lyapunov type inequality for indefinite weights and eigenvalue homogenization [PDF]
Proceedings of the American Mathematical Society, 2015 12 ...
Salort, Ariel Martin +2 more
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Multiple Solutions for a Class of N-Laplacian Equations with Critical Growth and Indefinite Weight
Abstract and Applied Analysis, 2014 Using the suitable Trudinger-Moser inequality and the Mountain Pass Theorem, we prove the existence of multiple solutions for a class of N-Laplacian equations with critical growth and indefinite weight -div∇uN-2∇u+VxuN-2u=λuN-2u/xβ+fx,u/xβ+ɛhx, x∈ℝN, u≠0,
Guoqing Zhang, Ziyan Yao
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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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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 =
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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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Modified moments for indefinite weight functions [PDF]
Numerische Mathematik, 1990 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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