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Bio-Inspired Swarm Navigation on Resource-Constrained Robots for GPS-Denied Environments. [PDF]
Sheikder C +7 more
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Eigenvalues of the Indefinite-Weight p-Laplacian in Weighted Spaces
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Existence and Uniqueness of Weighted Pseudoinverses with Nonsingular Indefinite Weights
Cybernetics and Systems Analysis, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vareniuk, N. A., Tukalevska, N. I.
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Inverse Problems for Differential Operators with Indefinite Discontinuous Weights
Results in Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vjacheslav Yurko
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Eigenvalues of Schrödinger operators with definite and indefinite weights
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qutaibeh Katatbeh
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Sturm–Liouville problems with indefinite weights and Everitt's inequality
It is shown that spectral properties of Sturm–Liouville eigenvalue problems with indefinite weights are related to integral inequalities studied by Everitt. A result of Beals on indefinite problems leads to a sufficient condition for the validity of such an inequality.
Hans Volkmer
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Weighted Pseudoinversion with Indefinite Weights
Ukrainian Mathematical Journal, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Varenyuk, N. A. +3 more
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On the antimaximum principle for the p-Laplacian with indefinite weight
Nonlinear Analysis: Theory, Methods & Applications, 2002This paper is devoted to the study of the antimaximum principle (AMP) for the problem \[ \begin{gathered} -\Delta_p u=\lambda m(x)|u|^{p-2} u+ h(x)\quad\text{in }\Omega,\\ Bu= 0\quad\text{on }\partial\Omega,\end{gathered} \] where \(\Omega\) is a bounded domain in \(\mathbb{R}^N\), \(\Delta_p\) is the \(p\)-Laplacian and \(Bu= 0\) represents either the
Godoy, Tomas +2 more
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Eigenvalues of the indefinite-weight \(p\)-Laplacian in weighted spaces
Funkcialaj Ekvacioj, 1995We continue to study the following nonlinear eigenvalue problem in \(\mathbb{R}^N\): \[ -\Delta_p u=\lambda g(x)| u|^{p- 2}u, \] where \(\Delta_pu= \text{div}(|\nabla u|^{p-2}\nabla u)\) is the \(p\)-Laplacian with \(p>1\), \(\lambda\in\mathbb{R}\), \(u\) in some weighted space \(V\), and \(g\in L^\infty(\mathbb{R}^N)\) is an indefinite weight function.
Allegretto, Walter, Huang, Yin Xi
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