منابع مشابه
A Three Critical Points Theorem and Its Applications to the Ordinary Dirichlet Problem
The aim of this paper is twofold. On one hand we establish a three critical points theorem for functionals depending on a real parameter λ ∈ Λ, which is different from the one proved by B. Ricceri in [15] and gives an estimate of where Λ can be located. On the other hand, as an application of the previous result, we prove an existence theorem of three classical solutions for a two-point boundar...
متن کاملCritical Points for Surface Maps and the Benedicks-carleson Theorem
We give an alternative proof of the Benedicks-Carleson theorem on the existence of strange attractors in Hénon-like maps in the plane. To bypass a huge inductive argument, we introduce an induction-free explicit definition of dynamically critical points. The argument is sufficiently general and in particular applies to the case of non-invertible maps as well. It naturally raises the question of...
متن کاملA non-smooth three critical points theorem with applications in differential inclusions
We extend a recent result of Ricceri concerning the existence of three critical points of certain non-smooth functionals. Two applications are given, both in the theory of differential inclusions; the first one concerns a non-homogeneous Neumann boundary value problem, the second one treats a quasilinear elliptic inclusion problem in the whole RN .
متن کاملExistence of Three Solutions for a Nonlinear Fractional Boundary Value Problem via a Critical Points Theorem
and Applied Analysis 3 ii If γ n − 1 and f ∈ ACn−1 a, b ,R , then CaD t f t and t Dn−1 b f t are represented by C aD n−1 t f t f n−1 t , t D n−1 b f t −1 n−1 f n−1 t , t ∈ a, b . 2.3 With these definitions, we have the rule for fractional integration by parts, and the composition of the Riemann-Liouville fractional integration operator with the Caputo fractional differentiation operator, which ...
متن کاملPositive Solutions for Semipositone Discrete Eigenvalue Problems via Three Critical Points Theorem
In this paper, multiple positive solutions for semipositone discrete eigenvalue problems are obtained by using a three critical points theorem for nondifferentiable functional. Keywords—Discrete eigenvalue problems, positive solutions, semipositone, three critical points theorem
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: Topological Methods in Nonlinear Analysis
سال: 1998
ISSN: 1230-3429
DOI: 10.12775/tmna.1998.006