Class information for:
Level 1: QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
2602 2199 24.1 64%



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
2602 1                   QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM 2199

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 QUASILINEAR SCHRODINGER EQUATION authKW 1042854 4% 96% 78
2 VARIATIONAL METHODS authKW 570938 16% 12% 343
3 SCHRODINGER POISSON SYSTEM authKW 403570 2% 58% 50
4 STRONGLY INDEFINITE FUNCTIONALS authKW 381509 2% 60% 46
5 GROUND STATE SOLUTION authKW 379809 3% 45% 61
6 LEAST ENERGY SOLUTION authKW 289250 2% 53% 39
7 HAMILTONIAN ELLIPTIC SYSTEM authKW 255118 1% 88% 21
8 ASYMPTOTICALLY LINEAR authKW 236725 2% 47% 36
9 SCHRODINGER POISSON EQUATION authKW 222132 1% 67% 24
10 CRITICAL GROWTH authKW 213625 2% 31% 49

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 73144 78% 0% 1710
2 Mathematics, Applied 69423 70% 0% 1533
3 Physics, Mathematical 541 5% 0% 111
4 Mechanics 7 2% 0% 38
5 Automation & Control Systems -0 0% 0% 8
6 Mathematics, Interdisciplinary Applications -3 0% 0% 5
7 Multidisciplinary Sciences -4 0% 0% 1
8 Physics, Multidisciplinary -9 1% 0% 23
9 Engineering, General -10 0% 0% 1
10 Physics, Fluids & Plasmas -11 0% 0% 1

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 MATEMAT PLICATA U DINI 76266 1% 21% 26
2 SMIYOSHI KU 69421 0% 100% 5
3 UNIDADE MATEMAT ESTAT 44253 1% 25% 13
4 UNIDADE MATEMAT ESTATIST 38563 0% 56% 5
5 UNIDADE MATEMAT 37510 0% 27% 10
6 INGN MATEMAT FCFM 37022 0% 67% 4
7 HUBEI MATH SCI 35728 1% 23% 11
8 DIPARTIMENTO MATEMAT 32072 8% 1% 179
9 DIPARTIMENTO INTERUNIV MATEMAT 30213 1% 16% 14
10 OFF ADULT EDUC 27768 0% 100% 2

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 ADVANCED NONLINEAR STUDIES 193734 4% 15% 91
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 72049 4% 6% 91
3 JOURNAL OF DIFFERENTIAL EQUATIONS 47418 7% 2% 157
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 47349 9% 2% 203
5 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 34273 4% 3% 80
6 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 32850 3% 4% 58
7 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 29286 2% 4% 51
8 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 27325 2% 6% 34
9 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 25115 2% 5% 38
10 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 24686 3% 2% 74

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 QUASILINEAR SCHRODINGER EQUATION 1042854 4% 96% 78 Search QUASILINEAR+SCHRODINGER+EQUATION Search QUASILINEAR+SCHRODINGER+EQUATION
2 VARIATIONAL METHODS 570938 16% 12% 343 Search VARIATIONAL+METHODS Search VARIATIONAL+METHODS
3 SCHRODINGER POISSON SYSTEM 403570 2% 58% 50 Search SCHRODINGER+POISSON+SYSTEM Search SCHRODINGER+POISSON+SYSTEM
4 STRONGLY INDEFINITE FUNCTIONALS 381509 2% 60% 46 Search STRONGLY+INDEFINITE+FUNCTIONALS Search STRONGLY+INDEFINITE+FUNCTIONALS
5 GROUND STATE SOLUTION 379809 3% 45% 61 Search GROUND+STATE+SOLUTION Search GROUND+STATE+SOLUTION
6 LEAST ENERGY SOLUTION 289250 2% 53% 39 Search LEAST+ENERGY+SOLUTION Search LEAST+ENERGY+SOLUTION
7 HAMILTONIAN ELLIPTIC SYSTEM 255118 1% 88% 21 Search HAMILTONIAN+ELLIPTIC+SYSTEM Search HAMILTONIAN+ELLIPTIC+SYSTEM
8 ASYMPTOTICALLY LINEAR 236725 2% 47% 36 Search ASYMPTOTICALLY+LINEAR Search ASYMPTOTICALLY+LINEAR
9 SCHRODINGER POISSON EQUATION 222132 1% 67% 24 Search SCHRODINGER+POISSON+EQUATION Search SCHRODINGER+POISSON+EQUATION
10 CRITICAL GROWTH 213625 2% 31% 49 Search CRITICAL+GROWTH Search CRITICAL+GROWTH

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 ZHANG, J , TANG, XH , ZHANG, W , (2014) INFINITELY MANY SOLUTIONS OF QUASILINEAR SCHRODINGER EQUATION WITH SIGN-CHANGING POTENTIAL.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 420. ISSUE 2. P. 1762 -1775 34 100% 14
2 BYEON, J , KWON, O , OSHITA, Y , (2015) STANDING WAVE CONCENTRATING ON COMPACT MANIFOLDS FOR NONLINEAR SCHRODINGER EQUATIONS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 14. ISSUE 3. P. 825 -842 37 97% 1
3 ZHANG, W , ZHANG, J , XIE, XL , (2016) ON GROUND STATES FOR THE SCHRO "DINGER-POISSON SYSTEM WITH PERIODIC POTENTIALS.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 47. ISSUE 3. P. 449 -470 38 93% 0
4 WANG, J , SHI, JP , (2016) STANDING WAVES OF A WEAKLY COUPLED SCHRODINGER SYSTEM WITH DISTINCT POTENTIAL FUNCTIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 2. P. 1830 -1864 39 83% 1
5 FANG, HQ , WANG, J , (2015) EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMILINEAR SCHRODINGER EQUATION IN R-N.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 37 93% 0
6 WANG, J , XU, JX , ZHANG, FB , CHEN, XM , (2013) EXISTENCE OF MULTI-BUMP SOLUTIONS FOR A SEMILINEAR SCHRODINGER-POISSON SYSTEM.NONLINEARITY. VOL. 26. ISSUE 5. P. 1377-1399 36 97% 3
7 MALCHIODI, A , (2008) CONCENTRATING SOLUTIONS OF SOME SINGULARLY PERTURBED ELLIPTIC EQUATIONS.FRONTIERS OF MATHEMATICS IN CHINA. VOL. 3. ISSUE 2. P. 239 -252 44 92% 0
8 MAHMOUDI, F , MALCHIODI, A , MONTENEGRO, M , (2009) SOLUTIONS TO THE NONLINEAR SCHRODINGER EQUATION CARRYING MOMENTUM ALONG A CURVE.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS. VOL. 62. ISSUE 9. P. 1155-1264 40 95% 10
9 LIU, WM , (2016) INFINITELY MANY SOLUTIONS FOR NONLINEAR SCHRODINGER SYSTEMS WITH MAGNETIC POTENTIALS IN R-3.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 39. ISSUE 6. P. 1452 -1479 35 95% 0
10 ZHANG, W , TANG, XH , ZHANG, J , (2016) EXISTENCE AND CONCENTRATION OF SOLUTIONS FOR SCHRODINGER-POISSON SYSTEM WITH STEEP POTENTIAL WELL.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 39. ISSUE 10. P. 2549 -2557 35 95% 0

Classes with closest relation at Level 1



Rank Class id link
1 2885 CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY
2 25247 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS
3 15335 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION
4 1427 P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM
5 32243 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
6 10806 DISPERSIVE ESTIMATES//NON FREDHOLM OPERATORS//ORBITAL STABILITY
7 13872 HOMOCLINIC SOLUTIONS//DISCRETE VARIATIONAL THEORY//MODERN BUSINESS MANAGEMENT
8 16026 NONLOCAL EIGENVALUE PROBLEM//GIERER MEINHARDT SYSTEM//SEMICONDUCTOR PHOTOGRAPHIC SYSTEM
9 3725 VARIABLE EXPONENT//PX LAPLACIAN//KIRCHHOFF TYPE PROBLEM
10 25451 SPREADING VANISHING DICHOTOMY//GLOBAL FAST SOLUTION//SPREADING AND VANISHING

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