One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign
نویسندگان
چکیده
منابع مشابه
BOUNDARY NONLINEARITIES FOR A ONE-DIMENSIONAL p-LAPLACIAN LIKE EQUATION
We study a nonlinear ordinary second order vector equation of pLaplacian type under nonlinear boundary conditions. Applying Leray-Schauder arguments we obtain solutions under appropriate conditions. Moreover, for the scalar case we prove the existence of at least one periodic solution of the problem applying the method of upper and lower solutions. INTRODUCTION We consider a nonlinear one-dimen...
متن کاملMULTIPLICITY RESULTS FOR p-SUBLINEAR p-LAPLACIAN PROBLEMS INVOLVING INDEFINITE EIGENVALUE PROBLEMS VIA MORSE THEORY
We establish some multiplicity results for a class of p-sublinear pLaplacian problems involving indefinite eigenvalue problems using Morse theory.
متن کاملPeriodic Parabolic Problems with Nonlinearities Indefinite in Sign
Let Ω ⊂ R be a smooth bounded domain. We give sufficient conditions (which are also necessary in many cases) on two nonnegative functions a, b that are possibly discontinuous and unbounded for the existence of nonnegative solutions for semilinear Dirichlet periodic parabolic problems of the form Lu = λa (x, t) u − b (x, t) u in Ω × R, where 0 < p, q < 1 and λ > 0. In some cases we also show the...
متن کاملp-LAPLACIAN PROBLEMS WITH JUMPING NONLINEARITIES
We consider the p-Laplacian boundary value problem −(φp(u(x)) = f(x, u(x), u′(x)), a.e. x ∈ (0, 1), (1) c00u(0) + c01u ′(0) = 0, c10u(1) + c11u ′(1) = 0, (2) where p > 1 is a fixed number, φp(s) = |s|p−2s, s ∈ R, and for each j = 0, 1, |cj0|+ |cj1| > 0. The function f : [0, 1]× R2 → R is a Carathéodory function satisfying, for (x, s, t) ∈ [0, 1]× R2, ψ±(x)φp(s)− E(x, s, t) ≤ f(x, s, t) ≤ Ψ±(x)φ...
متن کاملExistence of a positive solution for one-dimensional singular p-Laplacian problems and its parameter dependence
Article history: Received 1 October 2013 Available online 21 November 2013 Submitted by J. Shi
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Nonlinear Analysis
سال: 2016
ISSN: 2191-9496,2191-950X
DOI: 10.1515/anona-2015-0116