Nonoscillatory solutions for the one-dimensional p-Laplacian
نویسندگان
چکیده
منابع مشابه
Rectifiability of Solutions of the One-dimensional P-laplacian
In the recent papers [8] and [10] a class of Carathéodory functions f(t, η, ξ) rapidly sign-changing near the boundary point t = a, has been constructed so that the equation −(|y′|p−2y′)′ = f(t, y, y′) in (a, b) admits continuous bounded solutions y whose graphs G(y) do not possess a finite length. In this paper, the same class of functions f(t, η, ξ) will be given, but with slightly different ...
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A multi-point boundary value problem involving the one dimensional p-Laplacian and depending on a parameter is studied in this paper and existence of positive solutions is established by means of a fixed point theorem for operators defined on Banach spaces with cones.
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This paper deals with two mixed nonlinear boundary value problems depending on a parameter λ. For each of them we prove the existence of at least three generalized solutions when λ lies in an exactly determined open interval. Usefulness of this information on the interval is then emphasized by means of some consequences. Our main tool is a very recent three critical points theorem stated in [To...
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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...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1998
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00096-x