Class information for:
Level 1: YOUNG MEASURES//QUASICONVEXITY//RANK ONE CONVEXITY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
6623 1463 23.2 41%



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
1824 2             MULLINS EFFECT//JOURNAL OF ELASTICITY//PRESSURE DEPENDENT VISCOSITY 6203
6623 1                   YOUNG MEASURES//QUASICONVEXITY//RANK ONE CONVEXITY 1463

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 YOUNG MEASURES authKW 519343 5% 33% 75
2 QUASICONVEXITY authKW 390504 4% 32% 59
3 RANK ONE CONVEXITY authKW 362312 2% 69% 25
4 NONCONVEX VARIATIONAL PROBLEMS authKW 260062 1% 69% 18
5 LAVRENTIEV PHENOMENON authKW 235973 1% 54% 21
6 CALCULUS OF VARIATIONS authKW 177250 5% 12% 73
7 RANK ONE CONVEX HULL authKW 166960 1% 100% 8
8 A QUASICONVEXITY authKW 166952 1% 67% 12
9 DIPERNA MAJDA MEASURES authKW 104350 0% 100% 5
10 QUASICONVEX HULL authKW 104350 0% 100% 5

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, Applied 31192 58% 0% 842
2 Mathematics 16141 46% 0% 666
3 Mechanics 4238 19% 0% 282
4 Automation & Control Systems 917 6% 0% 81
5 Engineering, General 340 4% 0% 61
6 Mathematics, Interdisciplinary Applications 146 3% 0% 40
7 Materials Science, Multidisciplinary 74 9% 0% 127
8 Operations Research & Management Science 48 2% 0% 26
9 Multidisciplinary Sciences 35 1% 0% 16
10 Thermodynamics 17 2% 0% 22

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 DIFFERENTIAL EQUAT RELATED PROBLEMS ANAL 86957 0% 83% 5
2 DMMMSA 70290 1% 42% 8
3 MIPA MATH INFORMAT PHYS PLICAT 41740 0% 100% 2
4 RECH VJC 41740 0% 100% 2
5 EMIAN 41736 0% 50% 4
6 ETSI IND 31717 3% 4% 38
7 MIPA 26824 0% 21% 6
8 INFORMAT THEORY AUTOMAT 24781 2% 4% 34
9 CASE COURIER 048 20870 0% 100% 1
10 CHAIRE ANAL MATH PLICAT 20870 0% 100% 1

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 JOURNAL OF CONVEX ANALYSIS 54022 3% 6% 47
2 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 53667 6% 3% 81
3 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 44136 5% 3% 74
4 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 40312 3% 5% 39
5 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 38123 4% 3% 54
6 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 28466 3% 3% 41
7 JOURNAL OF ELASTICITY 24925 3% 3% 43
8 ADVANCES IN CALCULUS OF VARIATIONS 23180 1% 9% 13
9 CONTINUUM MECHANICS AND THERMODYNAMICS 10699 1% 2% 21
10 SIBERIAN MATHEMATICAL JOURNAL 7945 2% 1% 34

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 YOUNG MEASURES 519343 5% 33% 75 Search YOUNG+MEASURES Search YOUNG+MEASURES
2 QUASICONVEXITY 390504 4% 32% 59 Search QUASICONVEXITY Search QUASICONVEXITY
3 RANK ONE CONVEXITY 362312 2% 69% 25 Search RANK+ONE+CONVEXITY Search RANK+ONE+CONVEXITY
4 NONCONVEX VARIATIONAL PROBLEMS 260062 1% 69% 18 Search NONCONVEX+VARIATIONAL+PROBLEMS Search NONCONVEX+VARIATIONAL+PROBLEMS
5 LAVRENTIEV PHENOMENON 235973 1% 54% 21 Search LAVRENTIEV+PHENOMENON Search LAVRENTIEV+PHENOMENON
6 CALCULUS OF VARIATIONS 177250 5% 12% 73 Search CALCULUS+OF+VARIATIONS Search CALCULUS+OF+VARIATIONS
7 RANK ONE CONVEX HULL 166960 1% 100% 8 Search RANK+ONE+CONVEX+HULL Search RANK+ONE+CONVEX+HULL
8 A QUASICONVEXITY 166952 1% 67% 12 Search A+QUASICONVEXITY Search A+QUASICONVEXITY
9 DIPERNA MAJDA MEASURES 104350 0% 100% 5 Search DIPERNA+MAJDA+MEASURES Search DIPERNA+MAJDA+MEASURES
10 QUASICONVEX HULL 104350 0% 100% 5 Search QUASICONVEX+HULL Search QUASICONVEX+HULL

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 DOLZMANN, G , (2003) VARIATIONAL METHODS FOR CRYSTALLINE MICROSTRUCTURE - ANALYSIS AND COMPUTATION.VARIATIONAL METHODS FOR CRYSTALLINE MIROSTRUCTURE - ANALYSIS AND COMPUTATION. VOL. 1803. ISSUE . P. 1-+ 88 82% 0
2 SYCHEV, MA , (2010) FIRST GENERAL LOWER SEMICONTINUITY AND RELAXATION RESULTS FOR STRONG MATERIALS.JOURNAL OF CONVEX ANALYSIS. VOL. 17. ISSUE 1. P. 183-202 41 87% 4
3 SYCHEV, MA , (2011) ANOTHER THEOREM OF CLASSICAL SOLVABILITY 'IN SMALL' FOR ONE-DIMENSIONAL VARIATIONAL PROBLEMS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 202. ISSUE 1. P. 269-294 37 90% 0
4 SYCHEV, MA , SYCHEVA, NN , (2016) YOUNG MEASURE APPROACH TO THE WEAK CONVERGENCE THEORY IN THE CALCULUS OF VARIATIONS AND STRONG MATERIALS.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 15. ISSUE . P. 561 -598 29 88% 0
5 SYCHEV, MA , (2006) A FEW REMARKS ON DIFFERENTIAL INCLUSIONS.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 136. ISSUE . P. 649-668 31 97% 13
6 KALAMAJSKA, A , KOZARZEWSKI, P , (2017) ON THE CONDITION OF TETRAHEDRAL POLYCONVEXITY, ARISING FROM CALCULUS OF VARIATIONS.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. VOL. 23. ISSUE 2. P. 475 -495 27 87% 0
7 KOUMATOS, K , RINDLER, F , WIEDEMANN, E , (2016) ORIENTATION- PRESERVING YOUNG MEASURES.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 67. ISSUE 3. P. 439 -465 28 85% 0
8 CHELMINSKI, K , KALAMAJSKA, A , (2006) NEW CONVEXITY CONDITIONS IN THE CALCULUS OF VARIATIONS AND COMPENSATED COMPACTNESS THEORY.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. VOL. 12. ISSUE 1. P. 64-92 34 87% 1
9 SYCHEV, MA , (2011) COMPARING VARIOUS METHODS OF RESOLVING DIFFERENTIAL INCLUSIONS.JOURNAL OF CONVEX ANALYSIS. VOL. 18. ISSUE 4. P. 1025-1045 30 86% 1
10 BALL, JM , (1998) THE CALCULUS OF VARIATIONS AND MATERIALS SCIENCE.QUARTERLY OF APPLIED MATHEMATICS. VOL. 56. ISSUE 4. P. 719 -740 46 79% 18

Classes with closest relation at Level 1



Rank Class id link
1 9530 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION
2 17535 EXTREMAL ELASTIC STRUCTURES//KOLOSOV MUSKHELISHVILI POTENTIALS//PLANE ELASTICITY PROBLEM
3 10255 MAPPINGS OF FINITE DISTORTION//GRAND LEBESGUE SPACES//MAPPING OF FINITE DISTORTION
4 21425 COMPLEMENTING CONDITION//JOURNAL OF ELASTICITY//CHEMICAL AFFINITY TENSOR
5 18777 DIFFERENTIAL ALGEBRAIC SOLVER//MCI//M2NET
6 6655 REIFENBERG DOMAIN//PARTIAL REGULARITY//CALDERON ZYGMUND ESTIMATES
7 9864 LINEARIZED ELASTICITY//LIU BIE JU MATH SCI//ELASTIC MULTI STRUCTURES
8 20798 TURNPIKE PROPERTY//GOOD FUNCTION//INFINITE HORIZON PROBLEMS
9 20088 MECHANOCHEM SYNTH NEW MAT//PHASE FIELD APPROACH//INTERMEDIATE MELT
10 19397 NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS

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