Results 31 to 40 of about 2,182,015 (280)
Maximum and antimaximum principles for the $p$-Laplacian with weighted Steklov boundary conditions
Electronic Journal of Differential Equations, 2020 We study the maximum and antimaximum principles for the p-Laplacian operator under Steklov boundary conditions with an indefinite weight $$\displaylines{ -\Delta_p u + |u|^{p-2}u = 0 \quad \text{in }\Omega, \cr |\nabla u|^{p-2}\frac{\partial u ...
Mabel Cuesta +2 more
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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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Nonlinear concave-convex problems with indefinite weight [PDF]
, 2021 We consider a parametric nonlinear Robin problem driven by the p-Laplacian and with a reaction having the competing effects of two terms. One is a parametric (Formula presented.) -sublinear term (concave nonlinearity) and the other is a (Formula ...
Vetro F. +5 more
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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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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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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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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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