Class information for:
Level 1: REIFENBERG DOMAIN//PARTIAL REGULARITY//CALDERON ZYGMUND ESTIMATES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6655 1459 22.7 44%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
176 2             MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED 22137
6655 1                   REIFENBERG DOMAIN//PARTIAL REGULARITY//CALDERON ZYGMUND ESTIMATES 1459

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 REIFENBERG DOMAIN authKW 439473 1% 100% 21
2 PARTIAL REGULARITY authKW 429021 4% 39% 53
3 CALDERON ZYGMUND ESTIMATES authKW 292982 1% 100% 14
4 NONSTANDARD GROWTH authKW 251392 2% 41% 29
5 SMALL BMO authKW 251127 1% 100% 12
6 NONLINEAR ELLIPTIC SYSTEMS authKW 228145 2% 42% 26
7 REIFENBERG FLAT DOMAIN authKW 224212 1% 71% 15
8 REGULARITY UP TO THE BOUNDARY authKW 200897 1% 80% 12
9 A HARMONIC APPROXIMATION authKW 188346 1% 100% 9
10 VANISHING MEAN OSCILLATION authKW 186134 1% 68% 13

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 49625 79% 0% 1147
2 Mathematics, Applied 29701 56% 0% 821
3 Mechanics 199 5% 0% 74
4 Mathematics, Interdisciplinary Applications 71 2% 0% 30
5 Automation & Control Systems 65 2% 0% 26
6 Physics, Fluids & Plasmas 36 2% 0% 26
7 Operations Research & Management Science 4 1% 0% 13
8 Multidisciplinary Sciences 1 0% 0% 6
9 Imaging Science & Photographic Technology -1 0% 0% 1
10 Engineering, General -1 0% 0% 5

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 HBEREICH MATH 6 1 141456 1% 52% 13
2 CIVIL ENGN DESIGN CONSTRUCT ENVIRONM 66966 0% 80% 4
3 CIVIL ENGN DESIGN CONSTRUCT IND ENVIRONM 62782 0% 100% 3
4 DIPARTIMENTO PE ME IS 62782 0% 100% 3
5 DIPARTIMENTO MAT PL R CACCIOPPOLI 58127 0% 56% 5
6 HBEREICH MATH 61 47085 0% 75% 3
7 PL PROBLEMS CONTEMPORARY ANAL 27902 0% 67% 2
8 PL MATH U DINI 23539 0% 38% 3
9 DIPARTIMENTO MATEMAT 23208 8% 1% 124
10 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI 21555 2% 5% 22

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ANNALI DI MATEMATICA PURA ED APPLICATA 59779 4% 4% 64
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 32766 3% 3% 50
3 ADVANCES IN CALCULUS OF VARIATIONS 30951 1% 10% 15
4 JOURNAL OF MATHEMATICAL FLUID MECHANICS 27922 2% 6% 24
5 MANUSCRIPTA MATHEMATICA 21655 4% 2% 58
6 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 20558 2% 4% 28
7 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 17968 7% 1% 102
8 BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA 14631 3% 2% 38
9 ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 10705 1% 3% 16
10 JOURNAL OF DIFFERENTIAL EQUATIONS 10387 4% 1% 60

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 REIFENBERG DOMAIN 439473 1% 100% 21 Search REIFENBERG+DOMAIN Search REIFENBERG+DOMAIN
2 PARTIAL REGULARITY 429021 4% 39% 53 Search PARTIAL+REGULARITY Search PARTIAL+REGULARITY
3 CALDERON ZYGMUND ESTIMATES 292982 1% 100% 14 Search CALDERON+ZYGMUND+ESTIMATES Search CALDERON+ZYGMUND+ESTIMATES
4 NONSTANDARD GROWTH 251392 2% 41% 29 Search NONSTANDARD+GROWTH Search NONSTANDARD+GROWTH
5 SMALL BMO 251127 1% 100% 12 Search SMALL+BMO Search SMALL+BMO
6 NONLINEAR ELLIPTIC SYSTEMS 228145 2% 42% 26 Search NONLINEAR+ELLIPTIC+SYSTEMS Search NONLINEAR+ELLIPTIC+SYSTEMS
7 REIFENBERG FLAT DOMAIN 224212 1% 71% 15 Search REIFENBERG+FLAT+DOMAIN Search REIFENBERG+FLAT+DOMAIN
8 REGULARITY UP TO THE BOUNDARY 200897 1% 80% 12 Search REGULARITY+UP+TO+THE+BOUNDARY Search REGULARITY+UP+TO+THE+BOUNDARY
9 A HARMONIC APPROXIMATION 188346 1% 100% 9 Search A+HARMONIC+APPROXIMATION Search A+HARMONIC+APPROXIMATION
10 VANISHING MEAN OSCILLATION 186134 1% 68% 13 Search VANISHING+MEAN+OSCILLATION Search VANISHING+MEAN+OSCILLATION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 DUZAAR, F , MINGIONE, G , STEFFEN, K , (2011) PARABOLIC SYSTEMS WITH POLYNOMIAL GROWTH AND REGULARITY.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 214. ISSUE 1005. P. IX -+ 47 94% 44
2 KUUSI, T , MINGIONE, G , (2016) NONLINEAR POTENTIAL THEORY OF ELLIPTIC SYSTEMS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 138. ISSUE . P. 277 -299 53 76% 1
3 BOGELEIN, V , DUZAAR, F , MINGIONE, G , (2013) THE REGULARITY OF GENERAL PARABOLIC SYSTEMS WITH DEGENERATE DIFFUSION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 221. ISSUE 1041. P. 1 -143 38 90% 17
4 KUUSI, T , MINGIONE, G , (2012) POINTWISE GRADIENT ESTIMATES.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 75. ISSUE 12. P. 4650 -4663 42 86% 1
5 COLOMBO, M , MINGIONE, G , (2016) CALDERON-ZYGMUND ESTIMATES AND NON-UNIFORMLY ELLIPTIC OPERATORS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 270. ISSUE 4. P. 1416 -1478 30 77% 6
6 OK, J , (2016) CALDERON-ZYGMUND ESTIMATES FOR A CLASS OF OBSTACLE PROBLEMS WITH NONSTANDARD GROWTH.NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. VOL. 23. ISSUE 4. P. - 34 94% 0
7 BARONI, P , COLOMBO, M , MINGIONE, G , (2016) NON-AUTONOMOUS FUNCTIONALS, BORDERLINE CASES AND RELATED FUNCTION CLASSES.ST PETERSBURG MATHEMATICAL JOURNAL. VOL. 27. ISSUE 3. P. 347 -379 30 58% 13
8 DUZAAR, F , MINGIONE, G , (2009) HARMONIC TYPE APPROXIMATION LEMMAS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 352. ISSUE 1. P. 301 -335 42 81% 19
9 KRISTENSEN, J , MINGIONE, G , (2010) BOUNDARY REGULARITY IN VARIATIONAL PROBLEMS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 198. ISSUE 2. P. 369-455 38 86% 18
10 BECK, L , (2011) BOUNDARY REGULARITY RESULTS FOR VARIATIONAL INTEGRALS.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 62. ISSUE 4. P. 791 -824 38 88% 2

Classes with closest relation at Level 1


Rank Class id link
1 10729 RENORMALIZED SOLUTIONS//L 1 DATA//RELATIVE REARRANGEMENT
2 3725 VARIABLE EXPONENT//PX LAPLACIAN//KIRCHHOFF TYPE PROBLEM
3 10255 MAPPINGS OF FINITE DISTORTION//GRAND LEBESGUE SPACES//MAPPING OF FINITE DISTORTION
4 11755 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS
5 13801 INFINITY LAPLACIAN//VISCOSITY SOLUTIONS//FULLY NONLINEAR EQUATIONS
6 6623 YOUNG MEASURES//QUASICONVEXITY//RANK ONE CONVEXITY
7 5583 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//HEISENBERG GROUP
8 30626 BOUNDARY TRANSMISSION PROBLEMS//PSEUDODIFFERENTIAL EQUATIONS//ANISOTROPIC WEIGHTED BESSEL POTENTIAL SPACES
9 6534 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
10 4957 P HARMONIC MAPS//HARMONIC MAPS//LANDAU LIFSHITZ EQUATION

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