Results 191 to 200 of about 36,531 (212)

ANTI-MAXIMUM PRINCIPLES FOR INDEFINITE-WEIGHT ELLIPTIC PROBLEMS

Communications in Partial Differential Equations, 2001
This paper is concerned with anti-maximum principles (AMPs) for indefinite-weight elliptic problems.
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An elliptic boundary problem involving an indefinite weight

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000
The spectral theory for non-self-adjoint elliptic boundary problems involving an indefinite weight function has only been established for the case of higher-order operators under the assumption that the reciprocal of the weight function is essentially bounded.
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A linear eigenvalue problem with indefinite weight function

Archiv der Mathematik, 1993
The author considers the linear eigenvalue problem \[ -\Delta u(x) = \lambda g(x) u(x) \text{ in } \mathbb{R}^ N,\;u(x) \to 0 \text{ as } | x | \to \infty, \tag{1} \] where \(N \geq 3\), \(\Delta\) denotes the Laplacian and \(g\) is a real-valued function which changes sign.
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Positive Periodic Solutions to a Second-Order Singular Differential Equation with Indefinite Weights

Qualitative Theory of Dynamical Systems, 2022
Zhibo Cheng
exaly  

On Principal Eigenvalues for Indefinite-Weight Elliptic Problems

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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Global structure of the periodic positive solutions for a general class of periodic-parabolic logistic equations with indefinite weights

Journal of Mathematical Analysis and Applications, 2020
Julián López-Gómez
exaly  

A nodal inverse problem for second order Sturm–Liouville operators with indefinite weights

Applied Mathematics and Computation, 2015
Juan Pablo Pinasco, Cristian Scarola
exaly  

Elliptic eigenvalue problems with an indefinite weight function

2001
The author considers selfadjoint elliptic eigenvalue problems of the form \(Lu= \lambda g(x)u\), \(B_j u=0 \;(j=\overline{1,m})\) on \(\Gamma \), where \(L\) is an elliptic operator of order \(2m\) defined on a bounded open set \( G \subset\mathbb R^n\) (\(n \geq 1\)) with boundary \(\Gamma \), the \(B_j\)'s are linear differential operators defined on
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Spectral analysis of singular ordinary differential operators with indefinite weights

Journal of Differential Equations, 2010
Jussi Behrndt, Friedrich Philipp
exaly  

An anti-maximum principle for degenerate elliptic boundary value problems with indefinite weights

Complex Variables and Elliptic Equations, 2010
Yavdat Il'yasov
exaly