Results 271 to 280 of about 3,569,907 (305)
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Fractional p ‐Laplacian problem with indefinite weight in RN : Eigenvalues and existence
Mathematical methods in the applied sciences, 2020In this paper, we first study the fractional p ‐Laplacian eigenvalue problem with indefinite weight (−Δp)su=λg(x)|u|p−2uinRN and prove that the problem exists a sequence of eigenvalues that converges to infinity and that the first eigenvalue is simple ...
Na Cui, Hong‐Rui Sun
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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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Nonhomogeneous eigenvalue problem with indefinite weight
Complex Variables and Elliptic Equations, 2017This paper, following the theory of partial differential equations on the Orlicz–Sobolev spaces, is mainly concerned with the nonhomogeneous eigenvalue problem involving variable growth conditions ...
Bin Ge, Chang Geng
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Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2020
Let $\Omega \subset \mathbb {R}^N$ , $N\geq 2$ , be an open bounded connected set. We consider the fractional weighted eigenvalue problem $(-\Delta )^s u =\lambda \rho u$ in $\Omega $ with homogeneous Dirichlet boundary condition, where ...
C. Anedda, F. Cuccu, Silvia Frassu
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Let $\Omega \subset \mathbb {R}^N$ , $N\geq 2$ , be an open bounded connected set. We consider the fractional weighted eigenvalue problem $(-\Delta )^s u =\lambda \rho u$ in $\Omega $ with homogeneous Dirichlet boundary condition, where ...
C. Anedda, F. Cuccu, Silvia Frassu
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Eigenvalues of the p(x)-biharmonic operator with indefinite weight
Zeitschrift für angewandte Mathematik und Physik, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ge, Bin, Zhou, Qing-Mei, Wu, Yu-Hu
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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.
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Sturm-Liouville operators with an indefinite weight function
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1977SynopsisSpectral properties of the singular Sturm-Liouville equation –(p−1y′)′ + qy = λry with an indefinite weight function r are studied in . The main tool is the theory of definitisable operators in spaces with an indefinite scalar product.
Daho, K., Langer, H.
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Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
Calculus of Variations and Partial Differential Equations, 2016In this paper, we are interested in the analysis of a well-known free boundary/shape optimization problem motivated by some issues arising in population dynamics.
Jimmy Lamboley +3 more
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Proceedings of the Royal Society of Edinburgh: Section A Mathematics
In this work, we consider a class of uniformly elliptic operators with a nonlocal term and mixed boundary conditions in bounded domains. We establish the existence of a principal eigenvalue and provide a result that offers both sufficient and necessary
Willian Cintra +1 more
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In this work, we consider a class of uniformly elliptic operators with a nonlocal term and mixed boundary conditions in bounded domains. We establish the existence of a principal eigenvalue and provide a result that offers both sufficient and necessary
Willian Cintra +1 more
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Periodic solutions for a singular Liénard equation with indefinite weight
Topological Methods in Nonlinear Analysis, 2019In this paper, the existence of positive periodic solutions is studied for a singular Lienard equation where the weight function has an indefinite sign.
Shiping Lu, Runyu Xue
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