Class information for:
Level 1: INFINITY LAPLACIAN//VISCOSITY SOLUTIONS//FULLY NONLINEAR EQUATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13801 812 19.9 48%


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
13801 1                   INFINITY LAPLACIAN//VISCOSITY SOLUTIONS//FULLY NONLINEAR EQUATIONS 812

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 INFINITY LAPLACIAN authKW 1817161 8% 79% 61
2 VISCOSITY SOLUTIONS authKW 1089529 19% 19% 155
3 FULLY NONLINEAR EQUATIONS authKW 501870 4% 43% 31
4 SUPREMAL FUNCTIONALS authKW 423665 2% 87% 13
5 FULLY NONLINEAR ELLIPTIC EQUATIONS authKW 423218 3% 49% 23
6 ABSOLUTE MINIMIZERS authKW 341850 1% 91% 10
7 BELLMANS EQUATIONS authKW 304588 1% 90% 9
8 CALCULUS OF VARIATIONS IN L INFINITY authKW 300830 1% 100% 8
9 TUG OF WAR GAMES authKW 267402 1% 89% 8
10 VISCOSITY SOLUTION authKW 199930 6% 11% 50

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 24746 75% 0% 605
2 Mathematics, Applied 21634 64% 0% 521
3 Automation & Control Systems 81 2% 0% 20
4 Statistics & Probability 80 3% 0% 24
5 Mechanics 15 3% 0% 21
6 Multidisciplinary Sciences 6 1% 0% 6
7 Computer Science, Software Engineering 1 1% 0% 6
8 Imaging Science & Photographic Technology 0 0% 0% 2
9 Remote Sensing -0 0% 0% 1
10 Computer Science, Artificial Intelligence -1 0% 0% 3

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 UFR SEGMI 82711 1% 20% 11
2 ANAL GEOMETRIE MODELISAT 75207 0% 100% 2
3 UMR2071 70858 1% 27% 7
4 CNRS UCHILE UMR2071 50137 0% 67% 2
5 CNRS UCHILEUMR 2071 37604 0% 100% 1
6 DIPARTIMENTO IINGEGNERIA IND 37604 0% 100% 1
7 FINANCE RI 37604 0% 100% 1
8 FIRST FRG 37604 0% 100% 1
9 MODELAMIENTO MATEMAT CNRS UCHILE UMR2071 37604 0% 100% 1
10 MPI MATH LEIPZIGAMSS 37604 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 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 27362 5% 2% 42
2 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 25442 4% 2% 31
3 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 21200 4% 2% 30
4 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 17017 2% 2% 19
5 DIFFERENTIAL AND INTEGRAL EQUATIONS 10916 2% 2% 15
6 APPLIED MATHEMATICS AND OPTIMIZATION 10882 2% 2% 18
7 COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 9385 2% 1% 20
8 ADVANCES IN CALCULUS OF VARIATIONS 8895 1% 4% 6
9 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 8250 3% 1% 26
10 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 8060 2% 2% 13

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 INFINITY LAPLACIAN 1817161 8% 79% 61 Search INFINITY+LAPLACIAN Search INFINITY+LAPLACIAN
2 VISCOSITY SOLUTIONS 1089529 19% 19% 155 Search VISCOSITY+SOLUTIONS Search VISCOSITY+SOLUTIONS
3 FULLY NONLINEAR EQUATIONS 501870 4% 43% 31 Search FULLY+NONLINEAR+EQUATIONS Search FULLY+NONLINEAR+EQUATIONS
4 SUPREMAL FUNCTIONALS 423665 2% 87% 13 Search SUPREMAL+FUNCTIONALS Search SUPREMAL+FUNCTIONALS
5 FULLY NONLINEAR ELLIPTIC EQUATIONS 423218 3% 49% 23 Search FULLY+NONLINEAR+ELLIPTIC+EQUATIONS Search FULLY+NONLINEAR+ELLIPTIC+EQUATIONS
6 ABSOLUTE MINIMIZERS 341850 1% 91% 10 Search ABSOLUTE+MINIMIZERS Search ABSOLUTE+MINIMIZERS
7 BELLMANS EQUATIONS 304588 1% 90% 9 Search BELLMANS+EQUATIONS Search BELLMANS+EQUATIONS
8 CALCULUS OF VARIATIONS IN L INFINITY 300830 1% 100% 8 Search CALCULUS+OF+VARIATIONS+IN+L+INFINITY Search CALCULUS+OF+VARIATIONS+IN+L+INFINITY
9 TUG OF WAR GAMES 267402 1% 89% 8 Search TUG+OF+WAR+GAMES Search TUG+OF+WAR+GAMES
10 VISCOSITY SOLUTION 199930 6% 11% 50 Search VISCOSITY+SOLUTION Search VISCOSITY+SOLUTION

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 GOMEZ, I , ROSSI, JD , (2013) TUG-OF-WAR GAMES AND THE INFINITY LAPLACIAN WITH SPATIAL DEPENDENCE.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 12. ISSUE 5. P. 1959-1983 33 100% 2
2 MIAO, QY , WANG, CY , ZHOU, Y , (2017) UNIQUENESS OF ABSOLUTE MINIMIZERS FOR -FUNCTIONALS INVOLVING HAMILTONIANS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 223. ISSUE 1. P. 141 -198 30 100% 0
3 HARTENSTINE, D , RUDD, M , (2016) PERRON'S METHOD FOR P-HARMONIOUS FUNCTIONS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 26 100% 0
4 SILJANDER, J , WANG, CY , ZHOU, Y , (2017) EVERYWHERE DIFFERENTIABILITY OF VISCOSITY SOLUTIONS TO A CLASS OF ARONSSON'S EQUATIONS.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE. VOL. 34. ISSUE 1. P. 119 -138 22 96% 0
5 JUUTINEN, P , PARVIAINEN, M , ROSSI, JD , (2016) DISCONTINUOUS GRADIENT CONSTRAINTS AND THE INFINITY LAPLACIAN.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 8. P. 2451 -2492 19 95% 2
6 DEL PEZZO, LM , ROSSI, JD , (2014) TUG-OF-WAR GAMES AND PARABOLIC PROBLEMS WITH SPATIAL AND TIME DEPENDENCE.DIFFERENTIAL AND INTEGRAL EQUATIONS. VOL. 27. ISSUE 3-4. P. 269-288 21 100% 3
7 CRANDALL, MG , (2008) A VISIT WITH THE INFINITY-LAPLACE EQUATION.CALCULUS OF VARIATIONS AND NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 1927. ISSUE . P. 75-122 23 100% 31
8 BIRINDELLI, I , DOLCETTA, IC , VITOLO, A , (2016) ABP AND GLOBAL HOLDER ESTIMATES FOR FULLY NONLINEAR ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. VOL. 18. ISSUE 4. P. - 20 100% 0
9 LOPEZ-SORIANO, R , NAVARRO-CLIMENT, JC , ROSSI, JD , (2013) THE INFINITY LAPLACIAN WITH A TRANSPORT TERM.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 398. ISSUE 2. P. 752 -765 21 100% 2
10 ROSSI, JD , (2011) TUG-OF-WAR GAMES AND PDES.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 141. ISSUE . P. 319 -369 23 96% 3

Classes with closest relation at Level 1


Rank Class id link
1 5572 HAMILTON JACOBI EQUATION//VISCOSITY SOLUTIONS//VISCOSITY SOLUTION
2 17113 MONGE AMPERE EQUATION//HESSIAN EQUATION//BERNSTEIN PROPERTY
3 15989 BERNOULLI PROBLEM//FREE BOUNDARY PROBLEM//FREE BOUNDARY
4 14490 WEAK KAM THEORY//AUBRY MATHER THEORY//HAMILTON JACOBI EQUATION
5 7899 MEAN CURVATURE FLOW//CURVATURE FLOW//SELF SHRINKER
6 11417 LARGE SOLUTIONS//BOUNDARY BLOW UP//KARAMATA REGULAR VARIATION THEORY
7 8449 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
8 6655 REIFENBERG DOMAIN//PARTIAL REGULARITY//CALDERON ZYGMUND ESTIMATES
9 5588 BACKWARD STOCHASTIC DIFFERENTIAL EQUATION//FORWARD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS//G EXPECTATION
10 25711 MULTIGRID AND MULTILEVEL METHODS//WEIGHTED MAX NORM//GENERALIZED SCHWARZ ALGORITHMS

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