Eigenvalues of the p-Laplacian and disconjugacy criteria
نویسندگان
چکیده
منابع مشابه
EIGENVALUES OF THE p-LAPLACIAN AND DISCONJUGACY CRITERIA
In this work we derive oscillation and nonoscillation criteria for the one dimensional p-laplacian in terms of an eigenvalue inequality for a mixed problem. We generalize the results obtained in the linear case by Nehari and Willet, and the proof is based on a Picone type identity.
متن کاملStability of variational eigenvalues for the fractional p–Laplacian
By virtue of Γ−convergence arguments, we investigate the stability of variational eigenvalues associated with a given topological index for the fractional p−Laplacian operator, in the singular limit as the nonlocal operator converges to the p−Laplacian. We also obtain the convergence of the corresponding normalized eigenfunctions in a suitable fractional norm.
متن کاملEigenvalues of the p-Laplacian in RN with indefinite weight
We consider the nonlinear eigenvalue problem − div(|∇u|∇u) = λg(x)|u|u in R with p > 1. A condition on indefinite weight function g is given so that the problem has a sequence of eigenvalues tending to infinity with decaying eigenfunctions in W (R ). A nonexistence result is also given for the case p ≥ N .
متن کاملLOWER BOUNDS FOR EIGENVALUES OF THE ONE-DIMENSIONAL p-LAPLACIAN
We also prove that the lower bound is sharp. Eigenvalue problems for quasilinear operators of p-Laplace type like (1.1) have received considerable attention in the last years (see, e.g., [1, 2, 3, 5, 8, 13]). The asymptotic behavior of eigenvalues was obtained in [6, 7]. Lyapunov inequalities have proved to be useful tools in the study of qualitative nature of solutions of ordinary linear diffe...
متن کاملTwo-Parameter Eigenvalues Steklov Problem involving the p-Laplacian
We study the existence of eigenvalues for a two parameter Steklov eigenvalues problem with weights. Moreover, we prove the simplicity and the isolation results of the principal eigenvalue. Finally, we obtain the continuity and the differentiability of this principal eigenvalue. AMS Subject Classifications: 35J60, 35B33.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2006
ISSN: 1025-5834,1029-242X
DOI: 10.1155/jia/2006/37191