Results 271 to 280 of about 3,534,316 (293)

Existence of solutions for an elliptic equation with indefinite weight

Nonlinear Analysis: Theory, Methods & Applications, 2007
Abstract We consider the elliptic equation with indefinite weight − Δ u = V ( x ) u + f ( x , u ) , u ∈ H 1 ( R N ) , where V ( x ) is a function possibly changing sign in R N ; under certain assumptions on f ( x , u ) , we obtain the existence of m − n
Li Yongqing, Zeng Jing
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Optimal Control and Stabilization for Discrete-time Markov Jump Systems With Indefinite Weight Costs and Multi-channel Multiplicative Noises

International Journal of Control, Automation and Systems, 2023
Song Zhang, Chunyan Han, Wen Wang
semanticscholar   +1 more source

Bi-nonlocal sixth order p(x)-problem with indefinite weight

Journal of Elliptic and Parabolic Equations, 2023
F. Jaafri, Khalid Soualhine
semanticscholar   +1 more source

Global structure of positive solutions for a Neumann problem with indefinite weight in Minkowski space

Journal of Fixed Point Theory and Applications, 2023
Ruyun Ma, Xiaoxiao Su, Zhongzi Zhao
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A critical p(x)-biharmonic Kirchhoff type problem with indefinite weight under no flux boundary condition

Boletín de la Sociedad Matematica Mexicana, 2022
Khalid Soualhine, M. Filali, M. Talbi, N. Tsouli   +3 more
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S-Shaped Connected Component of Positive Solutions for a Minkowski-Curvature Dirichlet Problem with Indefinite Weight

Bulletin of the Iranian Mathematical Society, 2021
Zhiqian He, Liangying Miao
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Stabilization analysis for Markov jump systems with multiplicative noise and indefinite weight costs

Science China Information Sciences, 2021
Hongdan Li, Chunyan Han, Huanshui Zhang
semanticscholar   +1 more source

On a p(x)-biharmonic Kirchhoff type problem with indefinite weight and no flux boundary condition

Collectanea Mathematica, 2021
M. Talbi, M. Filali, Khalid Soualhine, N. Tsouli   +3 more
semanticscholar   +1 more source

On Principal Eigenvalues for Indefinite-Weight Elliptic Problems [PDF]

, 1998
Consider the quantum mechanical system H μ=−Δ−μV in ℝd where μ ∈ ℝ is a spectral parameter and V ∈ C 0 ∞ (ℝd). It is well known that for d ≥ 3, the Schrodinger operator Hμ has no bound states provided that |μ| is sufficiently small. On the other hand, for d = 1, 2, B.
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Generalized principal eigenvalues for indefinite-weight elliptic problems

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1998
Summary: We prove a necessary and a sufficient condition for the existence of a positive solution of the equation \((P-\mu W)u=0\) in \(\Omega\), where \(P\) is a critical, second-order, linear elliptic operator which is defined on a subdomain \(\Omega\) of a noncompact Riemannian manifold \(X\). It is assumed that \(W\in C^\alpha(\Omega)\) is a ``weak'
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