Class information for:
Level 1: P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1427 2671 18.4 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
1427 1                   P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM 2671

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 P LAPLACIAN authKW 1100744 12% 29% 333
2 CRITICAL GROUPS authKW 946193 5% 58% 143
3 FUCIK SPECTRUM authKW 495741 2% 72% 60
4 NONLINEAR REGULARITY authKW 468909 2% 98% 42
5 MORSE THEORY authKW 395563 4% 30% 115
6 MOUNTAIN PASS THEOREM authKW 369435 4% 28% 115
7 NONSMOOTH CRITICAL POINT THEORY authKW 312755 2% 61% 45
8 NONLINEAR MAXIMUM PRINCIPLE authKW 298710 1% 93% 28
9 SECOND DEFORMATION THEOREM authKW 230509 1% 92% 22
10 LANDESMAN LAZER CONDITION authKW 219267 1% 71% 27

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 112653 87% 0% 2333
2 Mathematics, Applied 84690 70% 0% 1866
3 Operations Research & Management Science 6 1% 0% 22
4 Multidisciplinary Sciences 0 0% 0% 9
5 Physics, Mathematical 0 1% 0% 22
6 Computer Science, Cybernetics -0 0% 0% 2
7 Mathematics, Interdisciplinary Applications -3 0% 0% 7
8 Computer Science, Software Engineering -4 0% 0% 6
9 Statistics & Probability -5 0% 0% 7
10 Automation & Control Systems -5 0% 0% 4

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 DIPARTIMENTO PATRIMONIO ARCHITETTON URBANIST 77257 0% 52% 13
2 CEREMATH 65850 0% 52% 11
3 KMA FAV 58783 0% 86% 6
4 UMR MIP 48762 0% 53% 8
5 MATH 38174 45% 0% 1191
6 IUEA 34291 0% 100% 3
7 YY TSENG FUNCT ANAL 30878 0% 27% 10
8 CEREMATH UT1 30478 0% 67% 4
9 LANOL 22861 0% 100% 2
10 NTIS 19350 1% 11% 16

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 210706 18% 4% 471
2 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 60916 5% 4% 128
3 ADVANCED NONLINEAR STUDIES 58209 2% 9% 55
4 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 48673 2% 9% 50
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 34346 9% 1% 252
6 BOUNDARY VALUE PROBLEMS 31028 2% 4% 64
7 JOURNAL OF DIFFERENTIAL EQUATIONS 30525 5% 2% 139
8 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 27717 2% 6% 44
9 DIFFERENTIAL AND INTEGRAL EQUATIONS 15081 1% 4% 32
10 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 14452 2% 3% 45

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 P LAPLACIAN 1100744 12% 29% 333 Search P+LAPLACIAN Search P+LAPLACIAN
2 CRITICAL GROUPS 946193 5% 58% 143 Search CRITICAL+GROUPS Search CRITICAL+GROUPS
3 FUCIK SPECTRUM 495741 2% 72% 60 Search FUCIK+SPECTRUM Search FUCIK+SPECTRUM
4 NONLINEAR REGULARITY 468909 2% 98% 42 Search NONLINEAR+REGULARITY Search NONLINEAR+REGULARITY
5 MORSE THEORY 395563 4% 30% 115 Search MORSE+THEORY Search MORSE+THEORY
6 MOUNTAIN PASS THEOREM 369435 4% 28% 115 Search MOUNTAIN+PASS+THEOREM Search MOUNTAIN+PASS+THEOREM
7 NONSMOOTH CRITICAL POINT THEORY 312755 2% 61% 45 Search NONSMOOTH+CRITICAL+POINT+THEORY Search NONSMOOTH+CRITICAL+POINT+THEORY
8 NONLINEAR MAXIMUM PRINCIPLE 298710 1% 93% 28 Search NONLINEAR+MAXIMUM+PRINCIPLE Search NONLINEAR+MAXIMUM+PRINCIPLE
9 SECOND DEFORMATION THEOREM 230509 1% 92% 22 Search SECOND+DEFORMATION+THEOREM Search SECOND+DEFORMATION+THEOREM
10 LANDESMAN LAZER CONDITION 219267 1% 71% 27 Search LANDESMAN+LAZER+CONDITION Search LANDESMAN+LAZER+CONDITION

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 PAPAGEORGIOU, NS , SMYRLIS, G , (2016) POSITIVE SOLUTIONS FOR PARAMETRIC P-LAPLACIAN EQUATIONS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 15. ISSUE 5. P. 1545 -1570 28 97% 0
2 PAPAGEORGIOU, NS , WINKERT, P , (2016) NONLINEAR NONHOMOGENEOUS DIRICHLET EQUATIONS INVOLVING A SUPERLINEAR NONLINEARITY.RESULTS IN MATHEMATICS. VOL. 70. ISSUE 1-2. P. 31 -79 25 96% 1
3 GASINSKI, L , PAPAGEORGIOU, NS , (2012) NEUMANN PROBLEMS RESONANT AT ZERO AND INFINITY.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 191. ISSUE 3. P. 395-430 27 100% 1
4 HU, SC , PAPAGEORGIOU, NS , (2015) NONLINEAR NEUMANN PROBLEMS WITH INDEFINITE POTENTIAL AND CONCAVE TERMS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 14. ISSUE 6. P. 2561 -2616 32 76% 2
5 HE, TS , YAO, ZA , SUN, ZH , (2017) MULTIPLE AND NODAL SOLUTIONS FOR PARAMETRIC NEUMANN PROBLEMS WITH NONHOMOGENEOUS DIFFERENTIAL OPERATOR AND CRITICAL GROWTH.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 449. ISSUE 2. P. 1133 -1151 27 87% 0
6 WINKERT, P , (2010) CONSTANT-SIGN AND SIGN-CHANGING SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS WITH NEUMANN BOUNDARY VALUES.ADVANCES IN DIFFERENTIAL EQUATIONS. VOL. 15. ISSUE 5-6. P. 561 -599 33 83% 2
7 MOLLE, R , PASSASEO, D , (2014) ELLIPTIC EQUATIONS WITH JUMPING NONLINEARITIES INVOLVING HIGH EIGENVALUES.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 49. ISSUE 1-2. P. 861-907 29 85% 0
8 MUGNAI, D , PAPAGEORGIOU, NS , (2012) RESONANT NONLINEAR NEUMANN PROBLEMS WITH INDEFINITE WEIGHT.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 11. ISSUE 4. P. 729-788 27 93% 4
9 CANDITO, P , D'AGUI, G , PAPAGEORGIOU, NS , (2016) NONLINEAR NONCOERCIVE NEUMANN PROBLEMS WITH A REACTION CONCAVE NEAR THE ORIGIN.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. VOL. 47. ISSUE 1. P. 289 -317 23 100% 0
10 HU, SC , PAPAGEORGIOU, NS , (2013) SOLUTIONS OF NONLINEAR NONHOMOGENEOUS NEUMANN AND DIRICHLET PROBLEMS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 12. ISSUE 6. P. 2889 -2922 34 69% 2

Classes with closest relation at Level 1


Rank Class id link
1 24203 EXACT MULTIPLICITY//TIME MAP//S SHAPED BIFURCATION CURVE
2 32243 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
3 10976 MASLOV TYPE INDEX//SECOND ORDER HAMILTONIAN SYSTEMS//HAMILTONIAN SYSTEMS
4 11417 LARGE SOLUTIONS//BOUNDARY BLOW UP//KARAMATA REGULAR VARIATION THEORY
5 2885 CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY
6 3725 VARIABLE EXPONENT//PX LAPLACIAN//KIRCHHOFF TYPE PROBLEM
7 2602 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM
8 6703 PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS
9 34032 BOUNDED NONLINEARITIES//NON MONOTONE ITERATIONS//A COMPACT R DELTA SET
10 28059 NONZERO SOLUTION//MULTIPARAMETER VARIATIONAL INEQUALITY//FIXED POINT INDEX OF MULTIVALUED MAPPINGS

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