In this paper we use a concentration and compactness argument to prove the existence of a nontrivial nonradial solution to the nonlinear Schrödinger-Poisson equations in R3, assuming on the nonlinearity the general hypotheses introduced by Berestycki & Lions. Introduction We consider the following Schrödinger-Poisson system { −∆u+ qφu = g(x, u) in Ω, −∆φ = qu in Ω, (1) where Ω is an unbounded d...

We have acquired 65 h of single-site time-resolved CCD photometry of the pulsating DB white dwarf star CBS 114 and 62 h of two-site high-speed CCD photometry of another DBV, PG1456+103. The pulsation spectrum of PG1456+103 is complicated and variable on time scales of about one week and could only partly be deciphered with our measurements. The modes of CBS 114 are more stable in time and we we...

In the present paper, we study properties of second Dirichlet eigenvalue fractional Laplacian annuli-like domains and corresponding eigenfunctions. first part, consider an annulus with inner radius $ R outer R+1 $. We show that for sufficiently large any eigenfunction this is nonradial. investigate in form B_1(0)\setminus \overline{B_{\tau}(a)} $, where a unitary ball 0<\tau<1-|a| value m...

Abstract In the framework of data envelopment analysis (DEA), Tone (Eur J Oper Res 130(3):498–509, 2001) introduced slacks-based measure (SBM) efficiency, which is a nonradial model that incorporates all slacks evaluated decision-making units (DMUs) into their efficiency scores, unlike classical radial models. Next, 143(1):32–41, 2002) developed SBM super-efficiency in order to differentiate an...

Abstract We report statistically significant detections of nonradial, nongravitational accelerations based on astrometric data in the photometrically inactive objects 1998 KY 26 , 2005 VL 1 2016 NJ 33 2010 65 RH 120 and RF 12 . The magnitudes are greater than those typically induced by Yarkovsky effect, there is no radiation-based, nonradial effect that can be so large. Therefore, we hypothesiz...