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1

Groundstates of nonlinear Choquard equations: Existence, qualitative properties and decay asymptotics

Moroz, Vitaly, Van Schaftingen, Jean

Journal:

Journal of Functional Analysis

Year:

2013

Language:

english

File:

PDF, 1.15 MB

english, 2013

2

Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces

Bellazzini, Jacopo, Ghimenti, Marco, Mercuri, Carlo, Moroz, Vitaly, Van Schaftingen, Jean

Journal:

Transactions of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 390 KB

english, 2018

3

Existence of groundstates for a class of nonlinear Choquard equations

Moroz, Vitaly, Van Schaftingen, Jean

Journal:

Transactions of the American Mathematical Society

Year:

2014

Language:

english

File:

PDF, 375 KB

english, 2014

4

Semi-classical states for the Choquard equation

Moroz, Vitaly, Van Schaftingen, Jean

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2015

Language:

english

File:

PDF, 449 KB

english, 2015

5

Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials

Vitaly Moroz, Jean Van Schaftingen

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2010

Language:

english

File:

PDF, 334 KB

english, 2010

6

Orbital-Free Density Functional Theory of Out-of-Plane Charge Screening in Graphene

Lu, Jianfeng, Moroz, Vitaly, Muratov, Cyrill B.

Journal:

Journal of Nonlinear Science

Year:

2015

Language:

english

File:

PDF, 921 KB

english, 2015

7

Least action nodal solutions for the quadratic Choquard equation

Ghimenti, Marco, Moroz, Vitaly, Van Schaftingen, Jean

Journal:

Proceedings of the American Mathematical Society

Year:

2016

Language:

english

File:

PDF, 219 KB

english, 2016

8

Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency

Mercuri, Carlo, Moroz, Vitaly, Van Schaftingen, Jean

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 970 KB

english, 2016

9

A guide to the Choquard equation

Moroz, Vitaly, Van Schaftingen, Jean

Journal:

Journal of Fixed Point Theory and Applications

Year:

2017

Language:

english

File:

PDF, 955 KB

english, 2017

10

Boundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential

Bandle, Catherine, Marcus, Moshe, Moroz, Vitaly

Journal:

Israel Journal of Mathematics

Year:

2017

Language:

english

File:

PDF, 519 KB

english, 2017

11

Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains

Vladimir Kondratiev, Vitali Liskevich, Vitaly Moroz

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2005

Language:

english

File:

PDF, 229 KB

english, 2005

12

Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials

Vitaly Moroz, Jean Van Schaftingen

Journal:

Comptes Rendus Mathematique

Year:

2009

Language:

french

File:

PDF, 135 KB

french, 2009

13

Positive solutions to nonlinear p-Laplace equations with Hardy potential in exterior domains

Vitali Liskevich, Sofya Lyakhova, Vitaly Moroz

Journal:

Journal of Differential Equations

Year:

2007

Language:

english

File:

PDF, 481 KB

english, 2007

14

Positive solutions to sublinear second-order divergence type elliptic equations in cone-like domains

Journal:

Journal of Mathematical Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 147 KB

english, 2009

15

On the Morse critical groups for indefinite sublinear elliptic problems

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2003

Language:

english

File:

PDF, 141 KB

english, 2003

16

Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains

Moroz, Vitaly, Van Schaftingen, Jean

Journal:

Journal of Differential Equations

Year:

2013

Language:

english

File:

PDF, 702 KB

english, 2013

17

A sample-effective calibration design for multiple components

Kirsanov, Dmitry, Panchuk, Vitaly, Agafonova-Moroz, Marina, Khaydukova, Maria, Lumpov, Alexander, Semenov, Valentin, Legin, Andrey

Journal:

The Analyst (Royal Society of Chemistry)

Year:

2014

Language:

english

File:

PDF, 601 KB

english, 2014

18

Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent

Moroz, Vitaly, Van Schaftingen, Jean

Journal:

Communications in Contemporary Mathematics

Year:

2014

Language:

english

File:

PDF, 206 KB

english, 2014

19

Asymptotic properties of ground states of scalar field equations with a vanishing parameter

Moroz, Vitaly, Muratov, Cyrill

Journal:

Journal of the European Mathematical Society

Year:

2014

Language:

english

File:

PDF, 237 KB

english, 2014

20

Vitali Liskevich

Moroz, Vitaly, Solomyak, Michael, Truman, Aubrey

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

2014

Language:

english

File:

PDF, 67 KB

english, 2014

21

Existence, Stability and Oscillation Properties of Slow-Decay Positive Solutions of Supercritical Elliptic Equations with Hardy Potential

Moroz, Vitaly, Schaftingen, Jean Van

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

2014

Language:

english

File:

PDF, 310 KB

english, 2014

22

A CRITICAL PHENOMENON FOR SUBLINEAR ELLIPTIC EQUATIONS IN CONE-LIKE DOMAINS

KONDRATIEV, VLADIMIR, LISKEVICH, VITALI, MOROZ, VITALY, SOBOL, ZEEV

Journal:

Bulletin of the London Mathematical Society

Year:

2005

Language:

english

File:

PDF, 151 KB

english, 2005

23

Uranium in Saline Lakes of Mongolia and Adjacent Areas

ISUPOV, Vitaly, SODOV, Ariunbileg, SHATSKAYA, Svetlana, KOLPAKOVA, Marina, RAZVOROTNEVA, Ljudmila, VLADIMIROV, Alexander, SHVARTSEV, Stepan, KUIBIDA, Leonid, KRIVONOGOV, Sergey, MOROZ, Ekaterina

Journal:

Acta Geologica Sinica - English Edition (Wiley-Blackwell)

Year:

2014

Language:

english

File:

PDF, 343 KB

english, 2014

24

[WORLD SCIENTIFIC Proceedings of the International Conference on Differential Equations - Hasselt, Belgium (22 – 26 July 2003)] EQUADIFF 2003 - POSITIVE SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS WITH CRITICAL LOWER ORDER TERMS

LISKEVICH, VITALI, LYAKHOVA, SOFYA, MOROZ, VITALY

File:

PDF, 257 KB

25

Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$ R N

Albalawi, Wedad, Mercuri, Carlo, Moroz, Vitaly

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2019

Language:

english

File:

PDF, 641 KB

english, 2019

26

Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$ R N

Albalawi, Wedad, Mercuri, Carlo, Moroz, Vitaly

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2019

File:

PDF, 641 KB

2019

27

The voltage-dependent manipulation of few-layer graphene with a scanning tunneling microscopy tip

Alyobi, Mona M., Barnett, Chris J., Muratov, Cyrill B., Moroz, Vitaly, Cobley, Richard J.

Journal:

Year:

2020

File:

PDF, 724 KB

2020

28

Gelfand-type problem for turbulent jets

Gordon, Peter V., Moroz, Vitaly, Nazarov, Fedor

Journal:

Journal of Differential Equations

Year:

2020

File:

PDF, 446 KB

2020

29

Gelfand problem on a large spherical cap

Kabeya, Yoshitsugu, Moroz, Vitaly

Journal:

Journal of Elliptic and Parabolic Equations

Year:

2020

File:

PDF, 1.89 MB

2020