Class information for:
Level 1: VARIABLE EXPONENT//PX LAPLACIAN//KIRCHHOFF TYPE PROBLEM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
3725 1922 23.1 58%



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
3725 1                   VARIABLE EXPONENT//PX LAPLACIAN//KIRCHHOFF TYPE PROBLEM 1922

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 VARIABLE EXPONENT authKW 2684684 12% 73% 230
2 PX LAPLACIAN authKW 1814709 7% 80% 143
3 KIRCHHOFF TYPE PROBLEM authKW 992156 4% 87% 72
4 VARIABLE EXPONENT SOBOLEV SPACE authKW 929519 3% 91% 64
5 KIRCHHOFF TYPE EQUATION authKW 620325 2% 81% 48
6 THREE SOLUTIONS authKW 510580 2% 71% 45
7 PX LAPLACE OPERATOR authKW 462602 2% 94% 31
8 VARIABLE EXPONENT SPACES authKW 410304 2% 70% 37
9 SCI ENGN ARCHITECTURE address 388764 2% 64% 38
10 VARIABLE EXPONENT LEBESGUE SPACE authKW 382557 2% 71% 34

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 71437 82% 0% 1578
2 Mathematics, Applied 57492 68% 0% 1305
3 Physics, Mathematical 1 1% 0% 19
4 Operations Research & Management Science 1 1% 0% 13
5 Multidisciplinary Sciences 0 0% 0% 6
6 Computer Science, Software Engineering -0 0% 0% 9
7 Mathematics, Interdisciplinary Applications -0 0% 0% 8
8 Mechanics -1 1% 0% 18
9 Automation & Control Systems -1 0% 0% 5
10 Computer Science, Interdisciplinary Applications -1 0% 0% 9

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 SCI ENGN ARCHITECTURE 388764 2% 64% 38
2 CIVIL INFORMAT TECHNOL CONSTRUCT ENVIRONM EN 122192 1% 77% 10
3 UNIDADE MATEMAT 84133 1% 38% 14
4 UNIDADE MATEMAT ESTAT 67417 1% 28% 15
5 UFR SCI EXACTES PL 66267 1% 38% 11
6 SCI MANAGEMENT INT COOPERAT 66188 0% 83% 5
7 MATH SECT 58869 2% 10% 37
8 LAME 49629 1% 31% 10
9 DIPARTIMENTO MECMAT 45779 0% 41% 7
10 EDUC WELF SCI 44102 1% 19% 15

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 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 88780 7% 4% 131
2 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 55309 11% 2% 205
3 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 45978 3% 6% 50
4 BOUNDARY VALUE PROBLEMS 31866 3% 4% 55
5 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 19304 2% 4% 32
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 18485 8% 1% 157
7 ADVANCES IN NONLINEAR ANALYSIS 12476 0% 9% 9
8 ANNALES POLONICI MATHEMATICI 8901 1% 3% 18
9 GEORGIAN MATHEMATICAL JOURNAL 8640 1% 3% 16
10 REVISTA MATEMATICA COMPLUTENSE 8295 1% 4% 12

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 VARIABLE EXPONENT 2684684 12% 73% 230 Search VARIABLE+EXPONENT Search VARIABLE+EXPONENT
2 PX LAPLACIAN 1814709 7% 80% 143 Search PX+LAPLACIAN Search PX+LAPLACIAN
3 KIRCHHOFF TYPE PROBLEM 992156 4% 87% 72 Search KIRCHHOFF+TYPE+PROBLEM Search KIRCHHOFF+TYPE+PROBLEM
4 VARIABLE EXPONENT SOBOLEV SPACE 929519 3% 91% 64 Search VARIABLE+EXPONENT+SOBOLEV+SPACE Search VARIABLE+EXPONENT+SOBOLEV+SPACE
5 KIRCHHOFF TYPE EQUATION 620325 2% 81% 48 Search KIRCHHOFF+TYPE+EQUATION Search KIRCHHOFF+TYPE+EQUATION
6 THREE SOLUTIONS 510580 2% 71% 45 Search THREE+SOLUTIONS Search THREE+SOLUTIONS
7 PX LAPLACE OPERATOR 462602 2% 94% 31 Search PX+LAPLACE+OPERATOR Search PX+LAPLACE+OPERATOR
8 VARIABLE EXPONENT SPACES 410304 2% 70% 37 Search VARIABLE+EXPONENT+SPACES Search VARIABLE+EXPONENT+SPACES
9 VARIABLE EXPONENT LEBESGUE SPACE 382557 2% 71% 34 Search VARIABLE+EXPONENT+LEBESGUE+SPACE Search VARIABLE+EXPONENT+LEBESGUE+SPACE
10 VARIABLE LEBESGUE SPACE 330940 1% 83% 25 Search VARIABLE+LEBESGUE+SPACE Search VARIABLE+LEBESGUE+SPACE

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 -+ 183 81% 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 105 78% 135
3 ZHANG, QH , ZHAO, CS , (2015) EXISTENCE OF STRONG SOLUTIONS OF A P(X)-LAPLACIAN DIRICHLET PROBLEM WITHOUT THE AMBROSETTI-RABINOWITZ CONDITION.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 69. ISSUE 1. P. 1 -12 39 85% 1
4 DAI, GW , (2013) THREE SOLUTIONS FOR A NONLOCAL DIRICHLET BOUNDARY VALUE PROBLEM INVOLVING THE P(X)-LAPLACIAN.APPLICABLE ANALYSIS. VOL. 92. ISSUE 1. P. 191 -210 33 100% 4
5 KIM, IH , KIM, YH , PARK, K , (2016) EXISTENCE OF THREE SOLUTIONS FOR EQUATIONS OF -LAPLACE TYPE OPERATORS WITH NONLINEAR NEUMANN BOUNDARY CONDITIONS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 33 94% 0
6 TANG, XH , CHENG, BT , (2016) GROUND STATE SIGN-CHANGING SOLUTIONS FOR KIRCHHOFF TYPE PROBLEMS IN BOUNDED DOMAINS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 4. P. 2384 -2402 27 84% 4
7 AOUAOUI, S , (2012) EXISTENCE OF THREE SOLUTIONS FOR SOME EQUATION OF KIRCHHOFF TYPE INVOLVING VARIABLE EXPONENTS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 218. ISSUE 13. P. 7184 -7192 30 100% 8
8 ZHI, GZ , ZHANG, QH , (2015) SOLUTIONS FOR A VARIABLE EXPONENT NEUMANN BOUNDARY VALUE PROBLEMS WITH HARDY CRITICAL EXPONENT.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 38. ISSUE 2. P. 571 -603 36 80% 0
9 RICCERI, B , (2009) A THREE CRITICAL POINTS THEOREM REVISITED.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 70. ISSUE 9. P. 3084 -3089 31 84% 94
10 AOUAOUI, S , (2012) NONVARIATIONAL APPROACH IN THE STUDY OF KIRCHHOFF-TYPE EQUATIONS WITHOUT SYMMETRY AND INVOLVING VARIABLE EXPONENT.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 35. ISSUE 11. P. 1269 -1286 30 97% 1

Classes with closest relation at Level 1



Rank Class id link
1 1427 P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM
2 6655 REIFENBERG DOMAIN//PARTIAL REGULARITY//CALDERON ZYGMUND ESTIMATES
3 10729 RENORMALIZED SOLUTIONS//L 1 DATA//RELATIVE REARRANGEMENT
4 2602 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM
5 8015 ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR
6 15335 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION
7 2885 CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY
8 13872 HOMOCLINIC SOLUTIONS//DISCRETE VARIATIONAL THEORY//MODERN BUSINESS MANAGEMENT
9 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
10 25247 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS

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