Class information for:
Level 1: FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
15335 718 26.5 60%



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
15335 1                   FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION 718

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 FRACTIONAL LAPLACIAN authKW 3276161 24% 45% 172
2 FRACTIONAL P LAPLACIAN authKW 949258 3% 89% 25
3 FRACTIONAL SCHRODINGER EQUATION authKW 812826 4% 66% 29
4 FRACTIONAL SCHRODINGER EQUATIONS authKW 614081 3% 76% 19
5 INTEGRO DIFFERENTIAL OPERATORS authKW 504511 4% 38% 31
6 DIPARTIMENTO PAU address 309262 3% 36% 20
7 FRACTIONAL SOBOLEV SPACES authKW 283487 3% 33% 20
8 FRACTIONAL NONLINEAR SCHRODINGER EQUATION authKW 212635 1% 100% 5
9 QUASILINEAR NONLOCAL OPERATORS authKW 212635 1% 100% 5
10 THIN OBSTACLE PROBLEM authKW 212635 1% 100% 5

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, Applied 18649 63% 0% 455
2 Mathematics 17370 67% 0% 478
3 Physics, Mathematical 1591 14% 0% 98
4 Mathematics, Interdisciplinary Applications 66 3% 0% 19
5 Mechanics 24 3% 0% 22
6 Physics, Multidisciplinary 21 4% 0% 31
7 Physics, Fluids & Plasmas 19 2% 0% 13
8 Automation & Control Systems 1 1% 0% 5
9 Acoustics -0 0% 0% 2
10 Computer Science, Interdisciplinary Applications -0 1% 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 PAU 309262 3% 36% 20
2 DIPARTIMENTO INGN CIVILE AMBIENTALE DICEA 85054 0% 100% 2
3 PAUL CEZANNE LATP 85054 0% 100% 2
4 ANAL NONLINIAIRE MATH PL 42527 0% 100% 1
5 DIPARTIMENTO INFORMATICAN 42527 0% 100% 1
6 IW SP ME 42527 0% 100% 1
7 JIANGSU NSLSCSS 42527 0% 100% 1
8 MATEMAT ESTADISTICA IO 42527 0% 100% 1
9 MATEMAT UMR2071 42527 0% 100% 1
10 MATH INFORMAT TECHNOPOLE CHATEAU GIOMBERT 42527 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 ADVANCES IN NONLINEAR ANALYSIS 26410 1% 8% 8
2 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 19421 4% 2% 27
3 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 17240 3% 2% 24
4 RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI 12112 1% 3% 9
5 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 11623 4% 1% 29
6 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 8589 4% 1% 26
7 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 8312 2% 2% 13
8 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 7673 1% 2% 8
9 ADVANCED NONLINEAR STUDIES 7152 1% 2% 10
10 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 5323 1% 1% 10

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 FRACTIONAL LAPLACIAN 3276161 24% 45% 172 Search FRACTIONAL+LAPLACIAN Search FRACTIONAL+LAPLACIAN
2 FRACTIONAL P LAPLACIAN 949258 3% 89% 25 Search FRACTIONAL+P+LAPLACIAN Search FRACTIONAL+P+LAPLACIAN
3 FRACTIONAL SCHRODINGER EQUATION 812826 4% 66% 29 Search FRACTIONAL+SCHRODINGER+EQUATION Search FRACTIONAL+SCHRODINGER+EQUATION
4 FRACTIONAL SCHRODINGER EQUATIONS 614081 3% 76% 19 Search FRACTIONAL+SCHRODINGER+EQUATIONS Search FRACTIONAL+SCHRODINGER+EQUATIONS
5 INTEGRO DIFFERENTIAL OPERATORS 504511 4% 38% 31 Search INTEGRO+DIFFERENTIAL+OPERATORS Search INTEGRO+DIFFERENTIAL+OPERATORS
6 FRACTIONAL SOBOLEV SPACES 283487 3% 33% 20 Search FRACTIONAL+SOBOLEV+SPACES Search FRACTIONAL+SOBOLEV+SPACES
7 FRACTIONAL NONLINEAR SCHRODINGER EQUATION 212635 1% 100% 5 Search FRACTIONAL+NONLINEAR+SCHRODINGER+EQUATION Search FRACTIONAL+NONLINEAR+SCHRODINGER+EQUATION
8 QUASILINEAR NONLOCAL OPERATORS 212635 1% 100% 5 Search QUASILINEAR+NONLOCAL+OPERATORS Search QUASILINEAR+NONLOCAL+OPERATORS
9 THIN OBSTACLE PROBLEM 212635 1% 100% 5 Search THIN+OBSTACLE+PROBLEM Search THIN+OBSTACLE+PROBLEM
10 CRITICAL NONLINEARITIES 181441 1% 53% 8 Search CRITICAL+NONLINEARITIES Search CRITICAL+NONLINEARITIES

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, X , ZHANG, BL , REPOVS, D , (2016) EXISTENCE AND SYMMETRY OF SOLUTIONS FOR CRITICAL FRACTIONAL SCHRODINGER EQUATIONS WITH BOUNDED POTENTIALS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 142. ISSUE . P. 48 -68 31 84% 3
2 PUCCI, P , XIANG, MQ , ZHANG, BL , (2016) EXISTENCE AND MULTIPLICITY OF ENTIRE SOLUTIONS FOR FRACTIONAL P-KIRCHHOFF EQUATIONS.ADVANCES IN NONLINEAR ANALYSIS. VOL. 5. ISSUE 1. P. 27 -55 21 81% 13
3 VAZQUEZ, JL , (2016) THE DIRICHLET PROBLEM FOR THE FRACTIONAL P-LAPLACIAN EVOLUTION EQUATION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 7. P. 6038 -6056 32 82% 1
4 LEDESMA, CET , (2016) SYMMETRIC GROUND STATE SOLUTION FOR A NON-LINEAR SCHRODINGER EQUATION WITH NON-LOCAL REGIONAL DIFFUSION.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 61. ISSUE 10. P. 1375 -1388 30 91% 0
5 XIANG, MQ , ZHANG, BL , RADULESCU, VD , (2016) EXISTENCE OF SOLUTIONS FOR PERTURBED FRACTIONAL P-LAPLACIAN EQUATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 2. P. 1392 -1413 24 83% 5
6 ZHANG, X , ZHANG, BL , XIANG, MQ , (2016) GROUND STATES FOR FRACTIONAL SCHRODINGER EQUATIONS INVOLVING A CRITICAL NONLINEARITY.ADVANCES IN NONLINEAR ANALYSIS. VOL. 5. ISSUE 3. P. 293 -314 30 83% 0
7 IANNIZZOTTO, A , LIU, SB , PERERA, K , SQUASSINA, M , (2016) EXISTENCE RESULTS FOR FRACTIONAL P-LAPLACIAN PROBLEMS VIA MORSE THEORY.ADVANCES IN CALCULUS OF VARIATIONS. VOL. 9. ISSUE 2. P. 101 -125 21 64% 13
8 XIANG, MQ , ZHANG, BL , FERRARA, M , (2015) MULTIPLICITY RESULTS FOR THE NON-HOMOGENEOUS FRACTIONAL P-KIRCHHOFF EQUATIONS WITH CONCAVE-CONVEX NONLINEARITIES.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 471. ISSUE 2177. P. - 26 87% 0
9 PUCCI, P , XIANG, MQ , ZHANG, BL , (2015) MULTIPLE SOLUTIONS FOR NONHOMOGENEOUS SCHRODINGER-KIRCHHOFF TYPE EQUATIONS INVOLVING THE FRACTIONAL P-LAPLACIAN IN R-N.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 54. ISSUE 3. P. 2785 -2806 26 72% 9
10 LI, AR , WEI, CQ , (2016) INFINITELY MANY SOLUTIONS FOR FRACTIONAL LAPLACIAN PROBLEMS WITH LOCAL GROWTH CONDITIONS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 23 92% 0

Classes with closest relation at Level 1



Rank Class id link
1 6061 DIRICHLET FORM//LEVY SYSTEM//POTENTIAL ANALYSIS
2 14755 RENORMALIZED FUNCTIONAL//EQUAL AREA CONDITION//ALLEN CAHN EQUATION
3 25247 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS
4 2602 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM
5 9763 METHOD OF MOVING PLANES IN INTEGRAL FORMS//WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY//LIOUVILLE THEOREM
6 23906 PERIDYNAMICS//PERIDYNAMIC MODEL//PERIDYNAMIC THEORY
7 11156 FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS
8 15989 BERNOULLI PROBLEM//FREE BOUNDARY PROBLEM//FREE BOUNDARY
9 2885 CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY
10 3725 VARIABLE EXPONENT//PX LAPLACIAN//KIRCHHOFF TYPE PROBLEM

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