Class information for:
Level 1: CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2885 2123 19.5 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
2885 1                   CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY 2123

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 CRITICAL SOBOLEV EXPONENT authKW 1693967 8% 66% 179
2 CAFFARELLI KOHN NIRENBERG INEQUALITY authKW 656232 2% 89% 51
3 HARDY INEQUALITY authKW 645319 6% 38% 117
4 HARDY SOBOLEV INEQUALITY authKW 401779 2% 76% 37
5 NEHARI MANIFOLD authKW 366192 3% 34% 74
6 CRITICAL HARDY SOBOLEV EXPONENT authKW 359533 1% 100% 25
7 CRITICAL EXPONENT authKW 306490 6% 17% 124
8 CRITICAL SOBOLEV HARDY EXPONENTS authKW 273928 1% 95% 20
9 HARDY POTENTIAL authKW 272508 2% 56% 34
10 RELLICH INEQUALITY authKW 261475 1% 91% 20

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 88132 87% 0% 1840
2 Mathematics, Applied 58261 65% 0% 1382
3 Mechanics 7 2% 0% 37
4 Physics, Mathematical 2 1% 0% 21
5 Automation & Control Systems -2 0% 0% 5
6 Mathematics, Interdisciplinary Applications -7 0% 0% 2
7 Computer Science, Software Engineering -7 0% 0% 2
8 Operations Research & Management Science -9 0% 0% 1
9 Engineering, General -10 0% 0% 1
10 Computer Science, Interdisciplinary Applications -11 0% 0% 2

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 SYST DYNAM PLICAT 58718 0% 58% 7
2 EGAL 57525 0% 100% 4
3 HELLEN ARMY 25562 0% 44% 4
4 DIPARTIMENTO METODI MODELLI MATEMAT 23538 1% 8% 21
5 DIPARTIMENTO MATEMAT 22056 7% 1% 146
6 MATH 21541 38% 0% 802
7 MATEMAT CC 20069 0% 16% 9
8 SCI TECHNOL PL MATH INFORMAT 19174 0% 67% 2
9 INGN MATEMAT 17382 2% 3% 37
10 MATEMAT 16945 9% 1% 187

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 87611 13% 2% 271
2 JOURNAL OF DIFFERENTIAL EQUATIONS 60379 8% 2% 174
3 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 47866 2% 7% 49
4 ADVANCED NONLINEAR STUDIES 44762 2% 7% 43
5 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 32405 3% 4% 60
6 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 31720 3% 4% 56
7 ACTA MATHEMATICA SCIENTIA 23966 3% 3% 65
8 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 20330 3% 2% 66
9 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 19612 2% 4% 33
10 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 19591 2% 3% 41

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 CRITICAL SOBOLEV EXPONENT 1693967 8% 66% 179 Search CRITICAL+SOBOLEV+EXPONENT Search CRITICAL+SOBOLEV+EXPONENT
2 CAFFARELLI KOHN NIRENBERG INEQUALITY 656232 2% 89% 51 Search CAFFARELLI+KOHN+NIRENBERG+INEQUALITY Search CAFFARELLI+KOHN+NIRENBERG+INEQUALITY
3 HARDY INEQUALITY 645319 6% 38% 117 Search HARDY+INEQUALITY Search HARDY+INEQUALITY
4 HARDY SOBOLEV INEQUALITY 401779 2% 76% 37 Search HARDY+SOBOLEV+INEQUALITY Search HARDY+SOBOLEV+INEQUALITY
5 NEHARI MANIFOLD 366192 3% 34% 74 Search NEHARI+MANIFOLD Search NEHARI+MANIFOLD
6 CRITICAL HARDY SOBOLEV EXPONENT 359533 1% 100% 25 Search CRITICAL+HARDY+SOBOLEV+EXPONENT Search CRITICAL+HARDY+SOBOLEV+EXPONENT
7 CRITICAL EXPONENT 306490 6% 17% 124 Search CRITICAL+EXPONENT Search CRITICAL+EXPONENT
8 CRITICAL SOBOLEV HARDY EXPONENTS 273928 1% 95% 20 Search CRITICAL+SOBOLEV+HARDY+EXPONENTS Search CRITICAL+SOBOLEV+HARDY+EXPONENTS
9 HARDY POTENTIAL 272508 2% 56% 34 Search HARDY+POTENTIAL Search HARDY+POTENTIAL
10 RELLICH INEQUALITY 261475 1% 91% 20 Search RELLICH+INEQUALITY Search RELLICH+INEQUALITY

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 SHIOJI, N , WATANABE, K , (2013) A GENERALIZED POHOZAEV IDENTITY AND UNIQUENESS OF POSITIVE RADIAL SOLUTIONS OF DELTA U PLUS G(R)U PLUS H(R)U(P)=0.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 255. ISSUE 12. P. 4448-4475 41 79% 2
2 KAJIKIYA, R , (2015) PARTIALLY SYMMETRIC SOLUTIONS OF THE GENERALIZED HENON EQUATION IN SYMMETRIC DOMAINS.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. VOL. 46. ISSUE 1. P. 191 -221 35 88% 0
3 SHIOJI, N , WATANABE, K , (2016) UNIQUENESS AND NONDEGENERACY OF POSITIVE RADIAL SOLUTIONS OF DIV (RHO DEL U) PLUS RHO(-GU + HU(P))=0.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. VOL. 55. ISSUE 2. P. - 37 77% 0
4 WANG, ZL , (2012) NONRADIAL POSITIVE SOLUTIONS FOR A BIHARMONIC CRITICAL GROWTH PROBLEM.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 11. ISSUE 2. P. 517 -545 34 87% 4
5 LIU, HD , ZHAO, LG , (2013) NONTRIVIAL SOLUTIONS FOR A CLASS OF CRITICAL ELLIPTIC EQUATIONS OF CAFFARELLI-KOHN-NIRENBERG TYPE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 404. ISSUE 2. P. 317-325 30 97% 0
6 WANG, CH , YANG, J , (2016) A NOTE ON THE SIGN-CHANGING SOLUTIONS FOR A DOUBLE CRITICAL HARDY-SOBOLEV-MAZ'YA PROBLEM.ADVANCED NONLINEAR STUDIES. VOL. 16. ISSUE 3. P. 519 -528 31 82% 0
7 HSU, TS , LIN, HL , (2012) MULTIPLICITY OF POSITIVE SOLUTIONS FOR WEIGHTED QUASILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS AND CONCAVE-CONVEX NONLINEARITIES.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 28 97% 2
8 HUANG, YS , DENG, ZY , (2014) ON POSITIVE G-SYMMETRIC SOLUTIONS OF A WEIGHTED QUASILINEAR ELLIPTIC EQUATION WITH CRITICAL HARDY-SOBOLEV EXPONENT.ACTA MATHEMATICA SCIENTIA. VOL. 34. ISSUE 5. P. 1619 -1633 27 96% 0
9 PENG, YF , YANG, J , (2015) SIGN-CHANGING SOLUTIONS TO ELLIPTIC PROBLEMS WITH TWO CRITICAL SOBOLEV-HARDY EXPONENTS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 14. ISSUE 2. P. 439 -455 28 90% 0
10 NYAMORADI, N , HSU, TS , (2015) MULTIPLE SOLUTIONS FOR WEIGHTED NONLINEAR ELLIPTIC SYSTEM INVOLVING CRITICAL EXPONENTS.SCIENCE CHINA-MATHEMATICS. VOL. 58. ISSUE 1. P. 161 -178 25 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 2602 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//SCHRODINGER POISSON SYSTEM
2 25247 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS
3 9763 METHOD OF MOVING PLANES IN INTEGRAL FORMS//WEIGHTED HARDY LITTLEWOOD SOBOLEV INEQUALITY//LIOUVILLE THEOREM
4 24203 EXACT MULTIPLICITY//TIME MAP//S SHAPED BIFURCATION CURVE
5 1427 P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM
6 7600 Q CURVATURE//CRITICAL POINTS AT INFINITY//YAMABE PROBLEM
7 32243 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
8 15335 FRACTIONAL LAPLACIAN//FRACTIONAL P LAPLACIAN//FRACTIONAL SCHRODINGER EQUATION
9 21230 CORRECT SOLVABILITY//POSITIVE EVANESCENT SOLUTIONS//SUBSOLUTION AND SUPERSOLUTION METHOD
10 3725 VARIABLE EXPONENT//PX LAPLACIAN//KIRCHHOFF TYPE PROBLEM

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