Vladimir Maz’ya

10.8k citations

284 papers · 6.0k indexed · 2 hit papers · h-index 38

Applied Mathematics top 0.05%
Computational Theory and Mathematics top 0.05%
Mathematical Physics top 0.1%
Mechanics of Materials top 1%
Computational Mechanics top 1%

Co-authors: J. Roßmann Vladimir Kozlov Andrea Cianchi Tatyana Shaposhnikova A. B. Movchan С. А. Назаров V. A. Kozlov Б. А. Пламеневский
Topics: Advanced Mathematical Modeling in Engineering (171 papers)Differential Equations and Boundary Problems (112 papers)Nonlinear Partial Differential Equations (62 papers)
Cited by: Applied Mathematics Mathematical Physics Computational Theory and Mathematics
Journals: Journal of Computational Physics Mathematics of Computation Annals of Mathematics
Partner nations: Sweden United Kingdom United States

In The Last Decade

Vladimir Maz’ya

266 papers receiving 5.4k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Sobolev Spaces

2011 307 citations Vladimir Maz’ya profile →
Sobolev Spaces: with Applications to Elliptic Partial Differential Equations

2011 291 citations Vladimir Maz’ya profile →

Peers

Countries citing papers authored by Vladimir Maz’ya

Since Specialization

Citations

This map shows the geographic impact of Vladimir Maz’ya's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Vladimir Maz’ya with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Vladimir Maz’ya more than expected).

Fields of papers citing papers by Vladimir Maz’ya

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Vladimir Maz’ya. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Vladimir Maz’ya. The network helps show where Vladimir Maz’ya may publish in the future.

Co-authorship network of co-authors of Vladimir Maz’ya

This figure shows the co-authorship network connecting the top 25 collaborators of Vladimir Maz’ya. A scholar is included among the top collaborators of Vladimir Maz’ya based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Vladimir Maz’ya. Vladimir Maz’ya is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Sobolev embeddings into Orlicz spaces and isocapacitary inequalities 2022 ·Transactions of the American Mathematical Society ·Andrea Cianchi,Vladimir Maz’ya	0
2	Optimal second-order regularity for the p-Laplace system 2019 ·Florence Research (University of Florence) ·Andrea Cianchi,Vladimir Maz’ya	29
3	Fast cubature of high dimensional biharmonic potential based on approximate approximations 2019 ·IRIS Research product catalog (Sapienza University of Rome) ·(unknown),Vladimir Maz’ya,G. Schmidt	2
4	Mesoscale models and approximate solutions for solids containing clouds of voids 2016 ·Liverpool John Moores University ·(unknown),Vladimir Maz’ya,A. B. Movchan	11
5	Gradient regularity via rearrangements for $p$-Laplacian type elliptic boundary value problems 2014 ·Journal of the European Mathematical Society ·Andrea Cianchi,Vladimir Maz’ya	51
6	Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems 2012 ·Mathematical surveys and monographs ·(unknown),Vladimir Maz’ya	28
7	Representations and estimates for inverse operators in the harmonic potential theory for polyhedra 2012 ·Rendiconti Lincei Matematica e Applicazioni ·Vladimir Maz’ya	4
8	Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations 2010 ·Communications in Partial Differential Equations ·Andrea Cianchi,Vladimir Maz’ya	112
9	Elliptic Equations in Polyhedral Domains 2010 ·Mathematical surveys and monographs ·Vladimir Maz’ya,J. Roßmann	136
10	Estimates for differential operators of vector analysis involving $L^1$-norm 2009 ·Journal of the European Mathematical Society ·Vladimir Maz’ya	15
11	Approximate Approximations 2007 ·Mathematical surveys and monographs ·Vladimir Maz’ya,G. Schmidt	79
12	Jacques Hadamard: A Universal Mathematician 1999 ·The Mathematical Gazette ·Steve Abbott,Vladimir Maz’ya,Tatyana Shaposhnikova	10
13	Jacques Hadamard, A Universal Mathematician 1999 ·Vladimir Maz’ya,Tatyana Shaposhnikova	21
14	$L_p$-Theory of Boundary Integral Equations on a Contour with Inward Peak 1998 ·Zeitschrift für Analysis und ihre Anwendungen ·Vladimir Maz’ya,A. Soloviev	3
15	On the Behaviour of Solutions to the Dirichiet Problem for Second Order Elliptic Equations near Edges and Polyhedral Vertices with Critical Angles 1994 ·Zeitschrift für Analysis und ihre Anwendungen ·Vladimir Maz’ya,J. Roßmann	8
16	Asymptotics of the densities of harmonic potentials near the apex of a cone (in Russian) 1989 ·Zeitschrift für Analysis und ihre Anwendungen ·(unknown),Vladimir Maz’ya	1
17	A criterion for the regularity of the infinitely distant point for the Zaremba problem in a half-cylinder (in Russian) 1988 ·Zeitschrift für Analysis und ihre Anwendungen ·(unknown),Vladimir Maz’ya,(unknown)	4
18	The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II (in Russian) 1983 ·Zeitschrift für Analysis und ihre Anwendungen ·Vladimir Maz’ya,Б. А. Пламеневский	16
19	The first boundary value problem for classical equations of mathematical physics in domains with piecewise-smooth boundaries. I (in Russian) 1983 ·Zeitschrift für Analysis und ihre Anwendungen ·Vladimir Maz’ya,Б. А. Пламеневский	46
20	Problem concerning steady-state oscillations of a layer of fluid in the presence of an obstacle 1974 ·Soviet physics. Doklady ·Nikolay Kuznetsov,Vladimir Maz’ya	2

About Vladimir Maz’ya

Vladimir Maz’ya is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics, having authored 284 papers that have together received 6.0k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (171 papers), Differential Equations and Boundary Problems (112 papers) and Nonlinear Partial Differential Equations (62 papers). The work is most often cited by research in Applied Mathematics (3.5k citations), Mathematical Physics (2.3k citations) and Computational Theory and Mathematics (3.4k citations). Vladimir Maz’ya has collaborated with scholars based in Sweden, United Kingdom and United States. Frequent co-authors include J. Roßmann, Vladimir Kozlov, Andrea Cianchi, Tatyana Shaposhnikova, A. B. Movchan, С. А. Назаров, V. A. Kozlov, Б. А. Пламеневский, T. O. Shaposhnikova and Igor E. Verbitsky. Their work appears in journals such as Journal of Computational Physics, Mathematics of Computation and Annals of Mathematics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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