Results 61 to 70 of about 12,585,660 (209)
EIGENVALUE PROBLEMS FOR SINGULAR ODES [PDF]
Glasgow Mathematical Journal, 2010 AbstractWe investigate eigenvalue intervals for the Dirichlet problem when the nonlinearity may be singular at t = 0 or t = 1. Our approach is based on variational methods and cover both sublinear and superlinear cases. We also study the continuous dependence of solutions on functional parameters.
O'REGAN, DONAL, ORPEL, ALEKSANDRA
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Bounds for nonlinear eigenvalue problems
Electronic Journal of Differential Equations, 2001 We develop a technique for obtaining bounds on bifurcation curves of nonlinear boundary-value problems defined through nonlinear elliptic partial differential equations.
Rafael D. Benguria +1 more
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Non-autonomous Eigenvalue Problems with Variable (p1,p2)-Growth
Advanced Nonlinear Studies, 2017 We are concerned with the study of a class of non-autonomous eigenvalue problems driven by two non-homogeneous differential operators with variable (p1,p2){(p_{1},p_{2})}-growth.
Baraket Sami +3 more
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Nonlinear eigenvalue problems for higher order Lidstone boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2000 In this paper, we consider the Lidstone boundary value problem $y^{(2m)}(t) = \lambda a(t)f(y(t), \dots, y^{(2j)}(t), \dots y^{(2(m-1))}(t), 0 < t < 1, y^{(2i)}(0) = 0 = y^{(2i)}(1), i = 0, ..., m - 1$, where $(-1)^m f > 0$ and $a$ is nonnegative. Growth
Paul Eloe
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Choptuik Spacetime as an Eigenvalue Problem [PDF]
Physical Review Letters, 1995 Review section rewritten; sign error in equation (4), error concerning non-minimally coupled scalar field, one typo in table corrected, references added. To be published in Phys.
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Eigenvalue problems with p-Laplacian operators
Electronic Journal of Differential Equations, 2014 In this article, we study eigenvalue problems with the p-Laplacian operator: $$ -(|y'|^{p-2}y')'= (p-1)(\lambda\rho(x)-q(x))|y|^{p-2}y \quad \text{on } (0,\pi_{p}), $$ where p>1 and $\pi_{p}\equiv 2\pi/(p\sin(\pi/p))$.
Yan-Hsiou Cheng
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Isoperimetric inequalities for some nonlinear eigenvalue problems
Electronic Journal of Qualitative Theory of Differential Equations, 2004 In this paper we intend to review many of the known inequalities for eigenvalues of the Laplacian in Euclidean plane. Our aim is to show that we can generalize some results for the pseudo-Laplacian.
Gabriella Bognár
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Solving Overdetermined Eigenvalue Problems [PDF]
SIAM Journal on Scientific Computing, 2013 We propose a new interpretation of the generalized overdetermined eigenvalue problem $\left({\bf A} - \lambda {\bf B}\right){\bf v} \approx 0$ for two $m\times n$ ($m > n$) matrices ${\bf A}$ and ${\bf B}$, its stability analysis, and an efficient algorithm for solving it.
Saptarshi Das, Arnold Neumaier
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An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian
Advances in Nonlinear Analysis, 2015 We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions.
Del Pezzo Leandro +3 more
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THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM [PDF]
Forum of Mathematics, Sigma, 2015 The hyperbolic quadratic eigenvalue problem (HQEP) was shown to admit Courant–Fischer type min–max principles in 1955 by Duffin and Cauchy type interlacing inequalities in 2010 by Veselić. It can be regarded as the closest analog (among all kinds of quadratic eigenvalue problem) to the standard Hermitian eigenvalue problem (among all kinds of standard ...
Liang, X., Li, R.
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