منابع مشابه
On Elliptic Equations in Rn Withcritical Exponents
In this note we use variational arguments {namely Ekeland's Principle and the Mountain Pass Theorem{ to study the equation ?u + a(x)u = u q + u 2 ?1 in R N : The main concern is overcoming compactness diiculties due both to the unboundedness of the domain R N , and the presence of the critical exponent 2 = 2N=(N ? 2).
متن کاملQuadratic-Quartic Functional Equations in RN-Spaces
The stability problem of functional equations originated from a question of Ulam 1 in 1940, concerning the stability of group homomorphisms. Let G1, · be a group and let G2, ∗, d be a metric group with the metric d ·, · . Given > 0, does there exist a δ > 0 such that if a mapping h : G1 → G2 satisfies the inequality d h x · y , h x ∗ h y < δ for all x, y ∈ G1, then there exists a homomorphism H...
متن کاملON CONFORMALLY INVARIANT EQUATIONS ON Rn
In this paper we provide a complete characterization of fully nonlinear conformally invariant differential operators of any integer order on R, which extends the result proved for operators of the second order by A. Li and the first named author in [38]. In particular we prove existence and uniqueness of a family of tensors (suitably invariant under Möbius transformations) which are the basic b...
متن کاملChaotic dynamical systems associated with tilings of RN
Chaos synchronization has exhibited an increasing interest in the last decade since the pioneering works reported in (Pecora & Carroll, 1990; Pecora & Carroll, 1991), and it has been advocated as a powerful tool in secure communication (Blekhman et al, 2002; Kolumban et al,1998; Nijmeijer, 1997; Kennedy & Ogorzalek, 1997). Chaotic systems are indeed characterized by a great sensitivity to the i...
متن کاملSOLVING SYSTEMS OF NONLINEAR EQUATIONS IN Rn USING A ROTATING HYPERPLANE IN Rn"
A procedure which accelerates the convergence of iterative methods for the numerical solution of systems of nonlinear algebraic and/or transcendental equations in Rn is introduced. This procedure uses a rotating hyperplane in Rnil, whose rotation axis depends on the current approximation of n 1 components of the solution. The proposed procedure is applied here on the traditional Newton's method...
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: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1981
ISSN: 0263-6115
DOI: 10.1017/s1446788700033504