Class information for:
Level 2: VARIATIONAL METHODS//MATHEMATICS//MOUNTAIN PASS THEOREM

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
272 2             VARIATIONAL METHODS//MATHEMATICS//MOUNTAIN PASS THEOREM 19256
1634 1                   P LAPLACIAN//CRITICAL GROUPS//NONLINEAR REGULARITY 2584
1997 1                   QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//STRONGLY INDEFINITE FUNCTIONALS 2434
3666 1                   CRITICAL SOBOLEV EXPONENT//HARDY INEQUALITY//CAFFARELLI KOHN NIRENBERG INEQUALITY 1969
6370 1                   Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM 1520
7233 1                   LIOUVILLE TYPE THEOREM//METHOD OF MOVING PLANES IN INTEGRAL FORMS//LIOUVILLE THEOREM 1417
8085 1                   VARIABLE EXPONENT//PX LAPLACIAN//VARIABLE EXPONENT SOBOLEV SPACE 1317
9339 1                   HOMOCLINIC SOLUTIONS//SECOND ORDER HAMILTONIAN SYSTEMS//MODERN BUSINESS MANAGEMENT 1196
10302 1                   BOUNDARY BLOW UP//LARGE SOLUTIONS//KARAMATA REGULAR VARIATION THEORY 1105
11791 1                   RENORMALIZED SOLUTIONS//L 1 DATA//RELATIVE REARRANGEMENT 982
12425 1                   FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//INTEGRO DIFFERENTIAL OPERATORS 937
13287 1                   RENORMALIZED FUNCTIONAL//DE GIORGI CONJECTURE//ALLEN CAHN EQUATION 878
13607 1                   MASLOV TYPE INDEX//CLOSED CHARACTERISTICS//BRAKE ORBITS 855
17285 1                   SUSPENSION BRIDGE//FOURTH ORDER ELLIPTIC EQUATION//EXTENDED FISHER KOLMOGOROV EQUATION 635
20615 1                   KIRCHHOFF TYPE PROBLEM//KIRCHHOFF TYPE EQUATION//KIRCHHOFF EQUATION 476
22641 1                   EXACT MULTIPLICITY//S SHAPED BIFURCATION CURVE//TIME MAP 396
25375 1                   TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS 306
33890 1                   LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA 132
35049 1                   CLAMPED PLATE EQUATION//KHAVINSON SHAPIRO CONJECTURE//FISCHER OPERATOR 117

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 VARIATIONAL METHODS authKW 1034615 7% 46% 1389
2 MATHEMATICS WoSSC 680030 80% 3% 15458
3 MOUNTAIN PASS THEOREM authKW 562754 2% 89% 387
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS journal 516904 10% 16% 1964
5 MATHEMATICS, APPLIED WoSSC 510665 64% 3% 12334
6 P LAPLACIAN authKW 482480 3% 50% 593
7 CRITICAL SOBOLEV EXPONENT authKW 394639 1% 93% 260
8 SEMILINEAR ELLIPTIC EQUATIONS authKW 376536 2% 70% 327
9 ADVANCED NONLINEAR STUDIES journal 349512 2% 58% 366
10 VARIABLE EXPONENT authKW 348301 1% 80% 268

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 680030 80% 3% 15458
2 Mathematics, Applied 510665 64% 3% 12334
3 Physics, Mathematical 1291 3% 0% 576
4 Mechanics 63 2% 0% 338
5 Mathematics, Interdisciplinary Applications 20 1% 0% 141
6 Multidisciplinary Sciences -2 0% 0% 45
7 Automation & Control Systems -6 0% 0% 60
8 Computer Science, Cybernetics -13 0% 0% 2
9 Engineering, Geological -15 0% 0% 7
10 Computer Science, Software Engineering -22 0% 0% 53

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 228346 41% 2% 7900
2 DIPARTIMENTO MATEMAT 103873 5% 7% 956
3 MATEMAT 69881 6% 4% 1159
4 UNIDADE MATEMAT 61346 0% 89% 42
5 MODERN BUSINESS MANAGEMENT 58851 0% 100% 36
6 DIPARTIMENTO PAU 55530 0% 72% 47
7 INGN MATEMAT 51143 1% 16% 192
8 UNIDADE MATEMAT ESTAT 50869 0% 76% 41
9 SCI ENGN ARCHITECTURE 48852 0% 71% 42
10 ZHONGBEI 44740 0% 74% 37

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 516904 10% 16% 1964
2 ADVANCED NONLINEAR STUDIES 349512 2% 58% 366
3 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 259157 4% 22% 716
4 JOURNAL OF DIFFERENTIAL EQUATIONS 224687 5% 14% 1012
5 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 202140 2% 27% 461
6 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 137475 2% 24% 353
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 118561 7% 6% 1255
8 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 108572 1% 28% 236
9 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 89259 1% 30% 185
10 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 89154 1% 21% 264

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 VARIATIONAL METHODS 1034615 7% 46% 1389 Search VARIATIONAL+METHODS Search VARIATIONAL+METHODS
2 MOUNTAIN PASS THEOREM 562754 2% 89% 387 Search MOUNTAIN+PASS+THEOREM Search MOUNTAIN+PASS+THEOREM
3 P LAPLACIAN 482480 3% 50% 593 Search P+LAPLACIAN Search P+LAPLACIAN
4 CRITICAL SOBOLEV EXPONENT 394639 1% 93% 260 Search CRITICAL+SOBOLEV+EXPONENT Search CRITICAL+SOBOLEV+EXPONENT
5 SEMILINEAR ELLIPTIC EQUATIONS 376536 2% 70% 327 Search SEMILINEAR+ELLIPTIC+EQUATIONS Search SEMILINEAR+ELLIPTIC+EQUATIONS
6 VARIABLE EXPONENT 348301 1% 80% 268 Search VARIABLE+EXPONENT Search VARIABLE+EXPONENT
7 CRITICAL POINT THEORY 345134 2% 72% 295 Search CRITICAL+POINT+THEORY Search CRITICAL+POINT+THEORY
8 POSITIVE SOLUTION 333549 4% 27% 747 Search POSITIVE+SOLUTION Search POSITIVE+SOLUTION
9 NEHARI MANIFOLD 327097 1% 93% 215 Search NEHARI+MANIFOLD Search NEHARI+MANIFOLD
10 CRITICAL POINT 297820 3% 29% 624 Search CRITICAL+POINT Search CRITICAL+POINT

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.

Classes with closest relation at Level 2


rank cluster_id2 link
1 1974 BLOW UP//BLOW UP RATE//NONLOCAL SOURCE
2 771 POSITIVE SOLUTION//FIXED POINT THEOREM//FRACTIONAL DIFFERENTIAL EQUATIONS
3 1402 HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS
4 1416 VISCOSITY SOLUTIONS//HAMILTON JACOBI EQUATION//MEAN CURVATURE FLOW
5 521 MATHEMATICS//BMO//COMMUTATOR
6 1222 GLOBAL ATTRACTOR//PULLBACK ATTRACTOR//RANDOM ATTRACTOR
7 2237 CAHN HILLIARD EQUATION//FREE DISCONTINUITY PROBLEMS//YOUNG MEASURES
8 2071 NORMAL COMPLIANCE//HEMIVARIATIONAL INEQUALITY//SWEEPING PROCESS
9 3306 CENTRAL CONFIGURATIONS//N BODY PROBLEM//RESTRICTED THREE BODY PROBLEM
10 368 MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

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