Results 291 to 300 of about 3,569,907 (305)

Eigenvalues of Schrödinger operators with definite and indefinite weights

Applied Mathematics and Computation, 2014
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Elliptic Problems Involving an Indefinite Weight Function

1996
We consider an elliptic boundary value problem defined on a region Ω ⊂ ℝn and involving an indefinite weight function ω. We also suppose that the problem under consideration admits a variational formulation. Then by appealing to the theory of selfadjoint operators acting in a Krein space, we derive various spectral properties for the problem.
M. Faierman, H. Langer
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Resonant nonlinear Neumann problems with indefinite weight

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2012
We consider nonlinear Neumann problems driven by the p-Laplacian plus an indefinite potential. First we develop the spectral properties of such differential operators. Subsequently, using these spectral properties and variational methods based on critical point theory, truncation techniques and Morse theory, we prove existence and multiplicity theorems ...
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L∞ bounds of eigenfunctions with an indefinite weight function

Applied Mathematics Letters, 2021
Jian-Wen Sun, Yan-Hua Xing
semanticscholar   +1 more source

Global bifurcation of one-signed radial solutions for Minkowski-curvature equations involving indefinite weight and non-differentiable nonlinearities

Journal of Mathematical Analysis and Applications
Fumei Ye, Shubin Yu, Chun-Lei Tang
semanticscholar   +1 more source

Existence and bifurcation of periodic solutions to the L-Minkowski problem with indefinite weight

Journal of Mathematical Analysis and Applications
Zhibo Cheng, Chenyang Xia, Qigang Yuan
semanticscholar   +1 more source

Point-wise behavior of the explosive positive solutions to a degenerate elliptic BVP with an indefinite weight function

Journal of Differential Equations
J. López-Gómez, V.K. Ramos, C.A. Santos, A. Suárez   +3 more
semanticscholar   +1 more source

The global interval bifurcation for Kirchhoff type problem with an indefinite weight function

Journal of Differential Equations
Fumei Ye, Shubin Yu
semanticscholar   +1 more source

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 bifurcation of positive solutions from zero in nonlinearizable elliptic problems with indefinite weight

Journal of Mathematical Analysis and Applications, 2020
Z. Aliyev, S. M. Hasanova
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