Class information for:
Level 2: MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
176 22137 21.0 51%


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
1427 1                   P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM 2671
2602 1                   QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM 2199
2885 1                   CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY 2123
3725 1                   VARIABLE EXPONENT//PX LAPLACIAN//KIRCHHOFF TYPE PROBLEM 1922
6655 1                   REIFENBERG DOMAIN//PARTIAL REGULARITY//CALDERON ZYGMUND ESTIMATES 1459
7600 1                   Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM 1349
9763 1                   METHOD OF MOVING PLANES IN INTEGRAL FORMS//WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY//LIOUVILLE THEOREM 1123
10729 1                   RENORMALIZED SOLUTIONS//L 1 DATA//RELATIVE REARRANGEMENT 1040
10993 1                   MEAN FIELD EQUATION//LARGE EXPONENT//LIOUVILLE TYPE EQUATIONS 1017
11417 1                   LARGE SOLUTIONS//BOUNDARY BLOW UP//KARAMATA REGULAR VARIATION THEORY 983
13757 1                   UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES 815
13801 1                   INFINITY LAPLACIAN//VISCOSITY SOLUTIONS//FULLY NONLINEAR EQUATIONS 812
14755 1                   RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION 752
15335 1                   FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION 718
15989 1                   BERNOULLI PROBLEM//FREE BOUNDARY PROBLEM//FREE BOUNDARY 679
17321 1                   OVERDETERMINED PROBLEMS//POMPEIU PROBLEM//OVERDETERMINED BOUNDARY VALUE PROBLEMS 606
20218 1                   POLYA SZEGO INEQUALITY//MANIFOLDS WITH DENSITY//STEINER SYMMETRIZATION 471
22762 1                   TWO PHASE CONDUCTORS//REARRANGEMENTS OF A FUNCTION//NANOSTRUCTURED QUANTUM DOTS 369
24203 1                   EXACT MULTIPLICITY//TIME MAP//S SHAPED BIFURCATION CURVE 320
25247 1                   TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS 286
25451 1                   SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING 281
32243 1                   LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA 142

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 MATHEMATICS WoSSC 746664 78% 3% 17332
2 VARIATIONAL METHODS authKW 608601 5% 39% 1125
3 MATHEMATICS, APPLIED WoSSC 512463 60% 3% 13262
4 P LAPLACIAN authKW 500384 3% 56% 647
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS journal 438308 9% 16% 1960
6 SEMILINEAR ELLIPTIC EQUATIONS authKW 339968 1% 75% 330
7 MOUNTAIN PASS THEOREM authKW 336145 1% 77% 316
8 CRITICAL SOBOLEV EXPONENT authKW 321546 1% 93% 252
9 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS journal 303504 3% 37% 593
10 VARIABLE EXPONENT authKW 299690 1% 83% 261

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 746664 78% 3% 17332
2 Mathematics, Applied 512463 60% 3% 13262
3 Physics, Mathematical 1954 3% 0% 736
4 Mechanics 188 2% 0% 469
5 Automation & Control Systems 20 1% 0% 136
6 Mathematics, Interdisciplinary Applications 9 1% 0% 143
7 Physics, Particles & Fields 7 1% 0% 269
8 Multidisciplinary Sciences 0 0% 0% 66
9 Asian Studies -9 0% 0% 1
10 Operations Research & Management Science -9 0% 0% 79

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 MATH 251075 40% 2% 8825
2 DIPARTIMENTO MATEMAT 137406 5% 9% 1179
3 MATEMAT 73253 6% 4% 1263
4 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI 60700 1% 31% 144
5 INGN MATEMAT 51986 1% 18% 207
6 MATH SCI 45727 8% 2% 1694
7 UNIDADE MATEMAT 38112 0% 86% 32
8 ZHONGBEI 37694 0% 74% 37
9 UNIDADE MATEMAT ESTAT 35556 0% 70% 37
10 DIPARTIMENTO MATEMAT INFORMAT 35436 1% 9% 303

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 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 438308 9% 16% 1960
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 303504 3% 37% 593
3 ADVANCED NONLINEAR STUDIES 255733 1% 56% 332
4 JOURNAL OF DIFFERENTIAL EQUATIONS 211188 5% 15% 1053
5 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 206949 3% 22% 680
6 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 133969 2% 26% 372
7 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 113944 1% 32% 257
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 102284 6% 6% 1258
9 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 101762 1% 25% 302
10 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 85139 2% 16% 401

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 VARIATIONAL METHODS 608601 5% 39% 1125 Search VARIATIONAL+METHODS Search VARIATIONAL+METHODS
2 P LAPLACIAN 500384 3% 56% 647 Search P+LAPLACIAN Search P+LAPLACIAN
3 SEMILINEAR ELLIPTIC EQUATIONS 339968 1% 75% 330 Search SEMILINEAR+ELLIPTIC+EQUATIONS Search SEMILINEAR+ELLIPTIC+EQUATIONS
4 MOUNTAIN PASS THEOREM 336145 1% 77% 316 Search MOUNTAIN+PASS+THEOREM Search MOUNTAIN+PASS+THEOREM
5 CRITICAL SOBOLEV EXPONENT 321546 1% 93% 252 Search CRITICAL+SOBOLEV+EXPONENT Search CRITICAL+SOBOLEV+EXPONENT
6 VARIABLE EXPONENT 299690 1% 83% 261 Search VARIABLE+EXPONENT Search VARIABLE+EXPONENT
7 POSITIVE SOLUTION 247020 3% 26% 687 Search POSITIVE+SOLUTION Search POSITIVE+SOLUTION
8 NEHARI MANIFOLD 233674 1% 89% 191 Search NEHARI+MANIFOLD Search NEHARI+MANIFOLD
9 PX LAPLACIAN 219758 1% 94% 169 Search PX+LAPLACIAN Search PX+LAPLACIAN
10 ELLIPTIC SYSTEMS 202338 1% 55% 269 Search ELLIPTIC+SYSTEMS Search ELLIPTIC+SYSTEMS

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 DIENING, L , HARJULEHTO, P , HASTO, P , RUZICKA, M , (2011) LEBESGUE AND SOBOLEV SPACES WITH VARIABLE EXPONENTS.LEBESGUE AND SOBOLEV SPACES WITH VARIABLE EXPONENTS. VOL. 2017. ISSUE . P. 1 -+ 200 88% 301
2 HARJULEHTO, P , HASTO, P , LE, UV , NUORTIO, M , (2010) OVERVIEW OF DIFFERENTIAL EQUATIONS WITH NON-STANDARD GROWTH.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 72. ISSUE 12. P. 4551 -4574 128 96% 135
3 TARANTELLO, G , (2009) ON SOME ELLIPTIC PROBLEMS IN THE STUDY OF SELFDUAL CHERN-SIMONS VORTICES.GEOMETRIC ANALYSIS AND PDES. VOL. 1977. ISSUE . P. 117 -175 111 85% 1
4 TARANTELLO, G , (2010) ANALYTICAL, GEOMETRICAL AND TOPOLOGICAL ASPECTS OF A CLASS OF MEAN FIELD EQUATIONS ON SURFACES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 28. ISSUE 3. P. 931-973 86 97% 23
5 GAZZOLA, F , GRUNAU, HC , SWEERS, G , (2010) MODELS OF HIGHER ORDER.POLYHARMONIC BOUNDARY VALUE PROBLEMS. VOL. 1991. ISSUE . P. 1 -+ 125 68% 1
6 JIN, TL , LI, YY , XIONG, JG , (2014) ON A FRACTIONAL NIRENBERG PROBLEM, PART I: BLOW UP ANALYSIS AND COMPACTNESS OF SOLUTIONS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 16. ISSUE 6. P. 1111 -1171 69 88% 31
7 TARANTELLO, G , (2016) ANALYTICAL ISSUES IN THE CONSTRUCTION OF SELF-DUAL CHERN-SIMONS VORTICES.MILAN JOURNAL OF MATHEMATICS. VOL. 84. ISSUE 2. P. 269 -298 75 95% 0
8 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 44 85% 13
9 KUUSI, T , MINGIONE, G , (2016) NONLINEAR POTENTIAL THEORY OF ELLIPTIC SYSTEMS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 138. ISSUE . P. 277 -299 65 93% 1
10 TARANTELLO, G , (2017) BLOW-UP ANALYSIS FOR A COSMIC STRINGS EQUATION.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 272. ISSUE 1. P. 255 -338 38 97% 1

Classes with closest relation at Level 2


Rank Class id link
1 905 POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX
2 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS
3 2349 P HARMONIC MAPS//HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL
4 810 BLOW UP//GLOBAL EXISTENCE//MATHEMATICS, APPLIED
5 1877 CROSS DIFFUSION//TRAVELING WAVE FRONTS//SPREADING SPEED
6 3487 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
7 3300 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION
8 2434 HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS
9 291 MATHEMATICS//ANNALS OF GLOBAL ANALYSIS AND GEOMETRY//DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
10 1824 MULLINS EFFECT//JOURNAL OF ELASTICITY//PRESSURE DEPENDENT VISCOSITY

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