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- Vitaly Moroz, Vitaly Moroz
- 2008

(1) { −∆u = f(u) in Ω, u = 0 on ∂Ω, where Ω ⊂ R is an open bounded domain with smooth boundary. We assume that f ∈ C(R, R) satisfies f(0) = 0, so the constant function u ≡ 0 is a trivial solution of… (More)

Semilinear elliptic equations which give rise to solutions blowing up at the boundary are perturbed by a Hardy potential μ/δ(x, ∂Ω). The size of this potential effects the existence of a certain type… (More)

- Vitali Liskevich, Sofya Lyakhova, Vitaly Moroz
- 2008

We study the existence and nonexistence of positive (super) solutions to the nonlinear p-Laplace equation −∆ p u − µ |x| p u p−1 = C |x| σ u q in exterior domains of R N (N ≥ 2). Here p ∈ (1, +∞) and… (More)

- Jianfeng Lu, Vitaly Moroz, Cyrill B. Muratov
- J. Nonlinear Science
- 2015

We propose a density functional theory of Thomas–Fermi–Dirac–von Weizsäcker type to describe the response of a single layer of graphene resting on a dielectric substrate to a point charge or a… (More)

On a bounded smooth domain Ω ⊂ R we study solutions of a semilinear elliptic equation with an exponential nonlinearity and a Hardy potential depending on the distance to ∂Ω. We derive global a priori… (More)

- Peter V Gordon, Vitaly Moroz
- Proceedings. Mathematical, physical, and…
- 2014

We consider a generalization of the Gelfand problem arising in Frank-Kamenetskii theory of thermal explosion. This generalization is a natural extension of the Gelfand problem to two-phase materials,… (More)

- M F Kovtun, Vitaly Moroz
- Doklady Akademii nauk SSSR
- 1973

- Gerhard Hobler, Vitaly Moroz
- 30th European Solid-State Device Research…
- 2000

Simple analytical expressions for the effective plus-factor for transient enhanced diffusion after non-amorphizing implantations in silicon are presented. The formulae describe the ion mass, implant… (More)

- S F Manziĭ, Vitaly Moroz
- Arkhiv anatomii, gistologii i embriologii
- 1981

It is of general opinion that the mammalian coracoid bone reduced during the evolutional process and remained as a small tubercle on the distal part of the scapula. The cause of the caracoid bone… (More)

- J. P. Bibring, M. C. Combes, +14 authors C. Sotin
- Nature
- 1989

THE imaging spectrometer ISM, operating in the near infrared, is the first ever flown in space for planetary observation. With a spectral range of 0.76–3.14μm, its main goals were to obtain… (More)