Results 11 to 20 of about 12,601 (208)
Asymmetric elliptic problems with indefinite weights
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2002 We prove the existence of a first nontrivial eigenvalue for an asymmetric elliptic problem with weights involving the laplacian (cf. (1.2) below) or more generally the p -laplacian (cf. (1.3) below).
Gossez, Jean-Pierre +3 more
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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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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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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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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 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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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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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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Body donor programs in Australia and New Zealand: Current status and future opportunities. [PDF]
Anat Sci EducAbstract Body donation is critical to anatomy study in Australia and New Zealand. Annually, more than 10,000 students, anatomists, researchers, and clinicians access tissue donated by local consented donors through university‐based body donation programs. However, little research has been published about their operations.
Jenkin RA, Keay KA.
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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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