Triple 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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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: Glasnik Matematicki
سال: 2003
ISSN: 0017-095X
DOI: 10.3336/gm.38.2.07