Results 41 to 50 of about 3,505,030 (302)
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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Open Mathematics, 2021 This paper provides a uniqueness result for positive solutions of the Neumann and periodic boundary value problems associated with the ϕ-Laplacian equation (ϕ(u′))′+a(t)g(u)=0,(\phi \left(u^{\prime} ))^{\prime} +a\left(t)g\left(u)=0, where ϕ is a ...
Boscaggin Alberto +2 more
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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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The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions [PDF]
, 2013 We consider a regular indefinite Sturm-Liouville eigenvalue problem \{$-f" + q f = \lambda r f$} on $[a,b]$ subject to general self-adjoint boundary conditions and with a weight function $r$ which changes its sign at finitely many, so-called turning ...
Fleige, Andreas +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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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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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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Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we consider bifurcation from zero or infinity of nontrivial solutions of the nonlinear Sturm–Liouville problem with indefinite weight. This problem is mainly important because of it is related with a selection-migration model in genetic ...
Ziyatkhan Aliyev, Leyla Nasirova
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Multiple positive solutions to elliptic boundary blow-up problems [PDF]
, 2016 We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} \Delta u + \bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, & \; \vert x \vert < 1, \\ u(x)
Aftalion +44 more
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Cohomology and Decomposition of Tensor Product Representations of SL(2,R) [PDF]
, 2002 We analyze the decomposition of tensor products between infinite dimensional (unitary) and finite-dimensional (non-unitary) representations of SL(2,R). Using classical results on indefinite inner product spaces, we derive explicit decomposition formulae,
André van Tonder +26 more
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