We investigate the ground states for focusing, subcritical nonlinear Schrödinger equation with a point defect in dimension two, defined as minimizers of energy functional at fixed mass. prove that exist every positive mass and show logarithmic singularity defect. Moreover, up to multiplication by constant phase, they are positive, radially symmetric, decreasing along radial direction. In order ...

The magnitude of demand for planting materials in grape, mainly for rootstock genotypes indicates that micropropagation is inevitably necessary for their mass scale propagation. Therefore, the studies on micropropagation of four genetically different grape rootstocks namely Dogridge (Vitis champini), SO4 (V. riparia× V. berlandieri), H-144 (V. vinifera × V. labrusca) and 3309 C (V. riparia × V....

The multiply charged ions produced by electrospray ionization of peptides of molecular masses up to 29 kDa have been successfully introduced into a Fourier transform mass spectrometer of unique capabilities for tandem mass spectrometry, large ion dissociation, and resolution. Electrospray ionization places an unusually high number of charges on a peptide yielding mass/charge (m/z) values of 600...