Arkady Poliakovsky

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All published works

Action	Title	Year	Authors
+	Approximations in Besov Spaces and Jump Detection of Besov Functions with Bounded Variation	2024	Paz Hashash Arkady Poliakovsky
+ PDF Chat	Approximations in Besov Spaces and Jump Detection of Besov Functions with Bounded Variation	2024	Paz Hashash Arkady Poliakovsky
+	Jumps in Besov spaces and fine properties of Besov and fractional Sobolev functions	2024	Paz Hashash Arkady Poliakovsky
+	Maxwell Equations in Cartesian Coordinate Systems	2024	Arkady Poliakovsky
+	Thermodynamics of a Moving Continuum Medium	2024	Arkady Poliakovsky
+	Relativistic-Like Dirac Equation	2024	Arkady Poliakovsky
+	Non-relativistic model of the laws of gravity and electromagnetism, invariant under the change of inertial and non-inertial coordinate systems.	2023	Arkady Poliakovsky
+ PDF Chat	Non-relativistic model of the laws of gravity and electromagnetism, invariant under the change of inertial and non-inertial coordinate systems	2023	Arkady Poliakovsky
+	The Total Simplified Lagrangian of the Gravity in a Cartesian Coordinate System	2023	Arkady Poliakovsky
+	Detailed Proves of the Stated Theorems, Propositions and Lemmas	2023	Arkady Poliakovsky
+	Newtonian Gravity as an Approximation of Our Model	2023	Arkady Poliakovsky
+	Jumps in Besov spaces and fine properties of Besov and fractional Sobolev functions	2023	Paz Hashash Arkady Poliakovsky
+ PDF Chat	Some remarks on a formula for Sobolev norms due to Brezis, Van Schaftingen and Yung	2021	Arkady Poliakovsky
+	Some remarks on a formula for Sobolev norms due to Brezis, Van Schaftingen and Yung	2021	Arkady Poliakovsky
+	Some remarks on a formula for Sobolev norms due to Brezis, Van Schaftingen and Yung	2021	Arkady Poliakovsky
+	On a variational approach to the Navier-Stokes Equations	2020	Arkady Poliakovsky
+ PDF Chat	Asymptotic behavior of the <i>W</i><sup>1∕<i>q</i>,<i>q</i></sup>-norm of mollified <i>BV</i> functions and applications to singular perturbation problems	2019	Arkady Poliakovsky
+	Asymptotic behavior of the $W^{1/q,q}$-norm of mollified $BV$ functions and applications to singular perturbation problems	2018	Arkady Poliakovsky
+	Γ-limits of singular perturbation problems involving energies with non-local terms	2018	Arkady Poliakovsky
+	Asymptotic behavior of the $W^{1/q,q}$-norm of mollified $BV$ functions and applications to singular perturbation problems	2018	Arkady Poliakovsky
+ PDF Chat	Jump detection in Besov spaces via a new BBM formula. Applications to Aviles–Giga-type functionals	2017	Arkady Poliakovsky
+ PDF Chat	Variational resolution for some general classes of nonlinear evolutions. Part II	2017	Arkady Poliakovsky
+	On spaces of bounded $q$-variation in dimension $N$	2017	Arkady Poliakovsky
+ PDF Chat	On Non-Topological Solutions for Planar Liouville Systems of Toda-Type	2016	Arkady Poliakovsky Gabriella Tarantello
+	On the Γ-limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part II: The lower bound	2015	Arkady Poliakovsky
+	Non-relativistic model of the laws of gravity and electromagnetism, invariant under the change of inertial and non-inertial coordinate systems	2015	Arkady Poliakovsky
+	On Singular Liouville Systems	2014	Arkady Poliakovsky Gabriella Tarantello
+ PDF Chat	On the $\Gamma$-limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part I: The upper bound	2013	Arkady Poliakovsky
+ PDF Chat	Variational resolution for some general classes of nonlinear evolutions. Part I	2013	Arkady Poliakovsky
+	On the $\Gamma$-limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part III: The energies with non local terms	2011	Arkady Poliakovsky
+	On the $\Gamma$-limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part II: The lower bound	2011	Arkady Poliakovsky
+	Variational resolution for some general classes of nonlinear evolutions. Part II	2011	Arkady Poliakovsky
+	On the $\Gamma$-limit of singular perturbation problems with optimal profiles which are not one-dimensional	2011	Arkady Poliakovsky
+	On a planar Liouville-type problem in the study of selfgravitating strings	2011	Arkady Poliakovsky Gabriella Tarantello
+	Variational resolution for some general classes of nonlinear evolutions. Part I	2011	Arkady Poliakovsky
+	Variational resolution for some general classes of nonlinear evolutions. Part II	2011	Arkady Poliakovsky
+	On the $Γ$-limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part I: The upper bound	2011	Arkady Poliakovsky
+	On the $Γ$-limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part II: The lower bound	2011	Arkady Poliakovsky
+	On the $Γ$-limit of singular perturbation problems with optimal profiles which are not one-dimensional. Part III: The energies with non local terms	2011	Arkady Poliakovsky
+ PDF Chat	Sharp upper bounds for a singular perturbation problem related to micromagnetics	2009	Arkady Poliakovsky
+ PDF Chat	Upper bounds for a class of energies containing a non-local term	2009	Arkady Poliakovsky
+ PDF Chat	A general technique to prove upper bounds for singular perturbation problems	2008	Arkady Poliakovsky
+ PDF Chat	ON THE RELATION BETWEEN MINIMIZERS OF A Γ-LIMIT ENERGY AND OPTIMAL LIFTING IN BV-SPACE	2007	Radu Ignat Arkady Poliakovsky
+ PDF Chat	Upper bounds for singular perturbation problems involving gradient fields	2007	Arkady Poliakovsky
+	On a singular perturbation problem related to optimal lifting in BV-space	2006	Arkady Poliakovsky
+ PDF Chat	A method for establishing upper bounds for singular perturbation problems	2005	Arkady Poliakovsky
+ PDF Chat	Uniqueness of positive solutions for singular problems involving the $p$-Laplacian	2005	Arkady Poliakovsky Itai Shafrir
+	On a minimization problem related to lifting of BV functions with values in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:msup><mml:mi>S</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>	2004	Arkady Poliakovsky
+	On minimization problems which approximate Hardy Lp inequality	2003	Arkady Poliakovsky
+	A Comparison Principle for the p-Laplacian	2002	Arkady Poliakovsky Itai Shafrir

Common Coauthors

Coauthor	Papers Together
Paz Hashash	4
Gabriella Tarantello	3
Itai Shafrir	2
Radu Ignat	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A mathematical problem related to the physical theory of liquid crystal configurations	1987	Patricio Avilés Yoshikazu Giga	12
+ PDF Chat	On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields	1999	Patricio Avilés Yoshikazu Giga	12
+	Singular Perturbation and the Energy of Folds	2000	W. Jin Robert V. Kohn	10
+	The effect of a singular perturbation on nonconvex variational problems	1988	Peter Sternberg	10
+ PDF Chat	Sharp upper bounds for a variational problem with singular perturbation	2007	Sergio Conti Camillo De Lellis	10
+ PDF Chat	Upper bounds for singular perturbation problems involving gradient fields	2007	Arkady Poliakovsky	10
+	Line energies for gradient vector fields in the plane	1999	Luigi Ambrosio Camillo De Lellis Carlo Mantegazza	9
+	Limiting domain wall energy for a problem related to micromagnetics	2001	Tristan Rivi�re Stéphane Serfaty	9
+ PDF Chat	A general technique to prove upper bounds for singular perturbation problems	2008	Arkady Poliakovsky	8
+	Rigidity and gamma convergence for solid‐solid phase transitions with SO(2) invariance	2006	Sergio Conti Ben Schweizer	7
+	On a singular perturbation problem related to optimal lifting in BV-space	2006	Arkady Poliakovsky	7
+	A compactness result in the gradient theory of phase transitions	2001	Antonio DeSimone Stefan Müller Robert V. Kohn Félix Otto	7
+ PDF Chat	A method for establishing upper bounds for singular perturbation problems	2005	Arkady Poliakovsky	7
+	Metric space valued functions of bounded variation	1990	Luigi Ambrosio	7
+	Second Order Singular Perturbation Models for Phase Transitions	2000	Irene Fonseca Carlo Mantegazza	6
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	6
+ PDF Chat	Jump detection in Besov spaces via a new BBM formula. Applications to Aviles–Giga-type functionals	2017	Arkady Poliakovsky	6
+	A Γ‐convergence result for the two‐gradient theory of phase transitions	2002	Sergio Conti Irene Fonseca Giovanni Leoni	6
+ PDF Chat	Structure of entropy solutions to the eikonal equation	2003	Camillo De Lellis Félix Otto	5
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	5
+	Compactness, Kinetic Formulation, and Entropies for a Problem Related to Micromagnetics	2003	Tristan Rivière Sylvia Serfaty	5
+ PDF Chat	Lifting of BV functions with values in S1	2003	Juan Dávila Radu Ignat	5
+ PDF Chat	An example in the gradient theory of phase transitions	2002	Camillo De Lellis	5
+	Antisymmetric Hamiltonians: Variational resolutions for Navier‐Stokes and other nonlinear evolutions	2006	Nassif Ghoussoub	4
+ PDF Chat	Selfdual Variational Principles for Periodic Solutions of Hamiltonian and Other Dynamical Systems	2007	Nassif Ghoussoub Abbas Moameni	4
+ PDF Chat	Upper bounds for a class of energies containing a non-local term	2009	Arkady Poliakovsky	4
+ PDF Chat	Geometry of Banach Spaces-Selected Topics	1975	Joseph Diestel	3
+ PDF Chat	Sharp upper bounds for a singular perturbation problem related to micromagnetics	2009	Arkady Poliakovsky	3
+	Qualitative properties of solutions to some nonlinear elliptic equations in R2	1993	Wenxiong Chen Congming Li	3
+	On a class of elliptic problems in R<sup>2</sup>: symmetry and uniqueness results	2001	Jugal K. Prajapat Gabriella Tarantello	3
+ PDF Chat	Multiplicity results for the assigned Gauss curvature problem in	2008	Jean Dolbeault Maria J. Esteban Gabriella Tarantello	3
+ PDF Chat	Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry	1994	Sagun Chanillo Michael K.‐H. Kiessling	2
+	On the Solutions of Liouville Systems	1997	Michel Chipot Itai Shafrir Gershon Wolansky	2
+	Classification of solutions of some nonlinear elliptic equations	1991	Wenxiong Chen Congming Li	2
+	On a planar Liouville-type problem in the study of selfgravitating strings	2011	Arkady Poliakovsky Gabriella Tarantello	2
+	Function Spaces and Potential Theory	1996	David R. Adams Lars Inge Hedberg	2
+ PDF Chat	An Introduction to the Navier-Stokes Initial-Boundary Value Problem	2000	Giovanni P. Galdi	2
+	Regularity for a more general class of quasilinear elliptic equations	1984	Peter Tolksdorf	2
+	Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation	1989	William P. Ziemer	2
+ PDF Chat	Anti-symmetric Hamiltonians (II): Variational resolutions for Navier–Stokes and other nonlinear evolutions	2008	Nassif Ghoussoub Abbas Moameni	2
+ PDF Chat	Statistical mechanics approach to some problems in conformal geometry	2000	Michael K.‐H. Kiessling	2
+ PDF Chat	Conformally invariant systems of nonlinear PDE of Liouville type	1995	Sagun Chanillo Michael K.‐H. Kiessling	2
+	Uniqueness of Solutions to the Mean Field Equations for the Spherical Onsager Vortex	2000	Chang‐Shou Lin	2
+	Moser-Trudinger inequalities and Liouville systems	1999	Guofang Wang	2
+	None	2002	Jürgen Jost Guofang Wang	2
+	Moser–Trudinger type inequalities for systems in two dimensions	2001	Itai Shafrir Gershon Wolansky	2
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	2
+	A variational principle for gradient flows	2004	Nassif Ghoussoub Leo Tzou	2
+	ASYMPTOTIC BEHAVIOUR OF MINIMIZING SEQUENCES FOR HARDY'S INEQUALITY	2000	Itai Shafrir	2
+ PDF Chat	On the best constant for Hardy’s inequality in $\mathbb {R}^n$	1998	Moshe Marcus Victor J. Mizel Yehuda Pinchover	2