منابع مشابه
Note on a Theorem of Nehari
hFih, x) > hFih, x) (0 è h < h < oo). In the course of this investigation the question arose whether a C2 solution of (1), with F subject to (2), is uniquely determined by the conditions (C) yia) = y'ib) = 0, y(x) > 0 for x E (a, b\. Nehari conjectured that this solution is unique under an additional condition on the behavior of Fit, x) as a function of x. The purpose of this note is to show th...
متن کاملOn a Theorem of Nehari and Quasidiscs
Let f be a locally injective analytic map of the unit disc D and let ff; zg be its Schwarzian derivative. Suppose jff; zgj 2p(jzj). We use the classical connection between Schwarzian derivative and second order linear equations to show that, for a particular class of functions p , the image f (D) is a quasidisc. The analysis centers on the diierential equation y 00 + py = 0 and a niteness condi...
متن کاملA Theorem of Nehari Type on Weighted Bergman Spaces of the Unit Ball
Received 13 June 2008; Revised 12 October 2008; Accepted 20 November 2008 Recommended by Stevo Stevic This paper shows that if S is a bounded linear operator acting on the weighted Bergman spaces Aα on the unit ball in C n such that STzi TziS i 1, . . . , n , where Tzi zif and Tzi P zif ; and where P is the weighted Bergman projection, then S must be a Hankel operator. Copyright q 2008 Y. Lu an...
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Gluing Approximate Solutions of Minimum Type on the Nehari Manifold
In the last decade or so, variational gluing methods have been widely used to construct homoclinic and heteroclinic type solutions of nonlinear elliptic equations and Hamiltonian systems. This note is concerned with the procedure of gluing mountain-pass type solutions. The rst procedure to glue mountain-pass type solutions was developed through the work of S er e, and Coti Zelati-Rabinowitz. Th...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1991
ISSN: 0019-2082
DOI: 10.1215/ijm/1255987670