112 citations
- Russian Academy of SciencesRU60 papers
- M. Akmullah Bashkir State Pedagogical UniversityRU20 papers
- University of Hradec KrálovéCZ15 papers
- Bashkir State UniversityRU14 papers
- Ufa Institute of ChemistryRU12 papers
- University of West Bohemia in PilsenCZ10 papers
- Czech Academy of Sciences, Nuclear Physics InstituteCZ8 papers
- Bilkent UniversityTR7 papers
- Chemnitz University of TechnologyDE6 papers
- Roma Tre UniversityIT6 papers
- Institute of Physics of Molecules and CrystalsRU5 papers
- ITMO UniversityRU5 papers
19 papers · 1 filter
On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities
Vladimir Bobkov, Pavel Drábek, Yavdat Ilyasov
We show that the elliptic equation with a non-Lipschitz right-hand side, with and , considered on a smooth star-shaped domain su…
Second-order derivative of domain-dependent functionals along Nehari manifold trajectories
Vladimir Bobkov, Sergey Kolonitskii
Assume that a family of domain-dependent functionals possesses a corresponding family of least energy critical points which can be found as (possibly nonunique) min…
Symmetry breaking in competing single-well linear-nonlinear potentials
Dmitry A. Zezyulin, Mikhail E. Lebedev, Georgy L. Alfimov +1
The combination of linear and nonlinear potentials, both shaped as a single well, enables competition between the confinement and expulsion induced by the former and latter potenti…
Gap opening in two-dimensional periodic systems
D. I. Borisov, P. Exner
We present a new method of gap control in two-dimensional periodic systems with the perturbation consisting of a second-order differential operator and a family of narrow potential…
Standing lattice solitons in the discrete NLS equation with saturation
G. L. Alfimov, A. S. Korobeinikov, C. J. Lustri +1
We consider standing lattice solitons for discrete nonlinear Schrodinger equation with saturation (NLSS), where so-called transparent points were recently discovered. These transpa…
Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wells
Yuri A. Kordyukov
We consider Toeplitz operators associated with the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle on a compact symplectic manifold. We study the asy…