Results 141 to 150 of about 12,596 (166)
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ANTI-MAXIMUM PRINCIPLES FOR INDEFINITE-WEIGHT ELLIPTIC PROBLEMS
Communications in Partial Differential Equations, 2001This 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, 2000The 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, 1993The 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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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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On Principal Eigenvalues for Indefinite-Weight Elliptic Problems
1998Consider 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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Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
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Elliptic eigenvalue problems with an indefinite weight function
2001The 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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Oral complications of cancer and cancer therapy
Ca-A Cancer Journal for Clinicians, 2012Joel B Epstein +2 more
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