Class information for:
Level 1: RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14755 752 22.9 52%


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
14755 1                   RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION 752

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 RENORMALIZED FUNCTIONAL authKW 288739 1% 89% 8
2 EQUAL AREA CONDITION authKW 243625 1% 100% 6
3 ALLEN CAHN EQUATION authKW 217456 4% 18% 29
4 DE GIORGI CONJECTURE authKW 203021 1% 100% 5
5 DIBLOCK COPOLYMER MORPHOLOGY authKW 203021 1% 100% 5
6 NONLOCAL ISOPERIMETRIC PROBLEM authKW 203021 1% 100% 5
7 SADDLE SOLUTIONS authKW 203021 1% 100% 5
8 GAMMA CONVERGENCE authKW 183164 7% 9% 49
9 ALLEN CAHN FUNCTIONAL authKW 162417 1% 100% 4
10 FIFE GREENLEE PROBLEM authKW 162417 1% 100% 4

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 22351 68% 0% 509
2 Mathematics 16900 64% 0% 483
3 Physics, Mathematical 221 5% 0% 41
4 Mechanics 88 5% 0% 36
5 Automation & Control Systems 15 1% 0% 10
6 Mathematics, Interdisciplinary Applications 10 1% 0% 10
7 Physics, Multidisciplinary 3 3% 0% 21
8 Multidisciplinary Sciences -1 0% 0% 1
9 Mathematical & Computational Biology -1 0% 0% 1
10 Computer Science, Software Engineering -1 0% 0% 2

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 LAMFAUMR 6140 59055 1% 36% 4
2 C S COMPLEXO INTERDISCIPLINAR 1 40604 0% 100% 1
3 CLASSE MATEMAT 40604 0% 100% 1
4 DCM FFCLRP 40604 0% 100% 1
5 DEPARTAMENTO INGN MATEMAT 40604 0% 100% 1
6 DIPARTIMENTO MATH PURA PLICATA 40604 0% 100% 1
7 ICEX DM 40604 0% 100% 1
8 INVEST MATH SISTEMAS 40604 0% 100% 1
9 IST ANAUSI NUMER 40604 0% 100% 1
10 LAMFA SCI 40604 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 INTERFACES AND FREE BOUNDARIES 49937 3% 6% 20
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 36755 5% 2% 38
3 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 20344 6% 1% 43
4 JOURNAL OF DIFFERENTIAL EQUATIONS 12415 6% 1% 47
5 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 10137 3% 1% 20
6 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 9515 2% 1% 17
7 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 9513 4% 1% 28
8 STUDIES IN APPLIED MATHEMATICS 9367 2% 1% 16
9 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 9146 3% 1% 24
10 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 6418 2% 1% 15

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 RENORMALIZED FUNCTIONAL 288739 1% 89% 8 Search RENORMALIZED+FUNCTIONAL Search RENORMALIZED+FUNCTIONAL
2 EQUAL AREA CONDITION 243625 1% 100% 6 Search EQUAL+AREA+CONDITION Search EQUAL+AREA+CONDITION
3 ALLEN CAHN EQUATION 217456 4% 18% 29 Search ALLEN+CAHN+EQUATION Search ALLEN+CAHN+EQUATION
4 DE GIORGI CONJECTURE 203021 1% 100% 5 Search DE+GIORGI+CONJECTURE Search DE+GIORGI+CONJECTURE
5 DIBLOCK COPOLYMER MORPHOLOGY 203021 1% 100% 5 Search DIBLOCK+COPOLYMER+MORPHOLOGY Search DIBLOCK+COPOLYMER+MORPHOLOGY
6 NONLOCAL ISOPERIMETRIC PROBLEM 203021 1% 100% 5 Search NONLOCAL+ISOPERIMETRIC+PROBLEM Search NONLOCAL+ISOPERIMETRIC+PROBLEM
7 SADDLE SOLUTIONS 203021 1% 100% 5 Search SADDLE+SOLUTIONS Search SADDLE+SOLUTIONS
8 GAMMA CONVERGENCE 183164 7% 9% 49 Search GAMMA+CONVERGENCE Search GAMMA+CONVERGENCE
9 ALLEN CAHN FUNCTIONAL 162417 1% 100% 4 Search ALLEN+CAHN+FUNCTIONAL Search ALLEN+CAHN+FUNCTIONAL
10 FIFE GREENLEE PROBLEM 162417 1% 100% 4 Search FIFE+GREENLEE+PROBLEM Search FIFE+GREENLEE+PROBLEM

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 DU, ZR , WEI, JC , (2016) CLUSTERING LAYERS FOR THE FIFE-GREENLEE PROBLEM IN R-N.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 146. ISSUE 1. P. 107 -139 30 83% 1
2 ALESSIO, F , AUTUORI, G , MONTECCHIARI, P , (2016) SADDLE TYPE SOLUTIONS FOR A CLASS OF REVERSIBLE ELLIPTIC EQUATIONS.ADVANCES IN DIFFERENTIAL EQUATIONS. VOL. 21. ISSUE 1-2. P. 1 -30 30 88% 0
3 YANG, J , YANG, XL , (2013) CLUSTERED INTERIOR PHASE TRANSITION LAYERS FOR AN INHOMOGENEOUS ALLEN-CAHN EQUATION IN HIGHER DIMENSIONAL DOMAINS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 12. ISSUE 1. P. 303-340 33 85% 1
4 ALESSIO, F , MONTECCHIARI, P , (2013) SADDLE SOLUTIONS FOR BISTABLE SYMMETRIC SEMILINEAR ELLIPTIC EQUATIONS.NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. VOL. 20. ISSUE 3. P. 1317 -1346 27 100% 0
5 REN, XP , TANG, C , (2017) A STATIONARY CORE-SHELL ASSEMBLY IN A TERNARY INHIBITORY SYSTEM.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 37. ISSUE 2. P. 983 -1012 26 90% 0
6 ALESSIO, F , MONTECCHIARI, P , (2013) LAYERED SOLUTIONS WITH MULTIPLE ASYMPTOTES FOR NON AUTONOMOUS ALLEN-CAHN EQUATIONS IN R-3.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 46. ISSUE 3-4. P. 591-622 31 79% 3
7 ALESSIO, F , MONTECCHIARI, P , (2014) MULTIPLICITY OF LAYERED SOLUTIONS FOR ALLEN-CAHN SYSTEMS WITH SYMMETRIC DOUBLE WELL POTENTIAL.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 257. ISSUE 12. P. 4572 -4599 24 96% 3
8 REN, XF , WEI, JC , (2015) A DOUBLE BUBBLE ASSEMBLY AS A NEW PHASE OF A TERNARY INHIBITORY SYSTEM.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 215. ISSUE 3. P. 967 -1034 25 81% 2
9 BYEON, J , RABINOWITZ, PH , (2016) UNBOUNDED SOLUTIONS FOR A PERIODIC PHASE TRANSITION MODEL.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 2. P. 1126 -1153 23 88% 0
10 WEI, JC , YANG, J , (2010) TODA SYSTEM AND CLUSTER PHASE TRANSITION LAYERS IN AN INHOMOGENEOUS PHASE TRANSITION MODEL.ASYMPTOTIC ANALYSIS. VOL. 69. ISSUE 3-4. P. 175 -218 28 82% 3

Classes with closest relation at Level 1


Rank Class id link
1 16026 NONLOCAL EIGENVALUE PROBLEM//GIERER MEINHARDT SYSTEM//SEMICONDUCTOR PHOTOGRAPHIC SYSTEM
2 20218 POLYA SZEGO INEQUALITY//MANIFOLDS WITH DENSITY//STEINER SYMMETRIZATION
3 7899 MEAN CURVATURE FLOW//CURVATURE FLOW//SELF SHRINKER
4 6982 CAHN HILLIARD EQUATION//CAHN HILLIARD//EXPONENTIAL ATTRACTOR
5 15335 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION
6 13356 GINZBURG LANDAU FUNCTIONAL//GINZBURG LANDAU EQUATION//GINZBURG LANDAU SYSTEM
7 14490 WEAK KAM THEORY//AUBRY MATHER THEORY//HAMILTON JACOBI EQUATION
8 25451 SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING
9 17321 OVERDETERMINED PROBLEMS//POMPEIU PROBLEM//OVERDETERMINED BOUNDARY VALUE PROBLEMS
10 9763 METHOD OF MOVING PLANES IN INTEGRAL FORMS//WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY//LIOUVILLE THEOREM

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