Class information for:
Level 2: CRITICAL SOBOLEV EXPONENT//P LAPLACIAN//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
209 20273 20.0 49%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)



ID, lev.
above
Publications Label for level above
89 75682 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS//JOURNAL OF DIFFERENTIAL EQUATIONS

Classes in level below (level 1)



ID, lev. below Publications Label for level below
243 3746 CRITICAL SOBOLEV EXPONENT//NEHARI MANIFOLD//QUASILINEAR SCHRODINGER EQUATION
2444 2174 BLOW UP//NONLINEAR BOUNDARY FLUX//NONLOCAL SOURCE
2563 2136 CRITICAL GROUPS//P LAPLACIAN//FUCIK SPECTRUM
4973 1626 PX LAPLACIAN//VARIABLE EXPONENT//VARIABLE EXPONENT SOBOLEV SPACE
5556 1541 YAMABE PROBLEM//METHOD OF MOVING PLANES IN INTEGRAL FORMS//CRITICAL POINTS AT INFINITY
7733 1256 VERY SINGULAR SOLUTION//FAST DIFFUSION//POROUS MEDIUM EQUATION
7880 1240 A HARMONIC APPROXIMATION TECHNIQUE//OPTIMAL PARTIAL REGULARITY//PARTIAL REGULARITY
11242 931 L 1 DATA//RENORMALIZED SOLUTIONS//MEASURE DATA
11308 925 BOUNDARY BLOW UP//LARGE SOLUTION//LARGE SOLUTIONS
12739 821 FRACTIONAL LAPLACIAN//INTEGRODIFFERENTIAL OPERATORS//RENORMALIZED FUNCTIONAL
13921 741 RELATIVE REARRANGEMENT//STEINER SYMMETRIZATION//POLYA SZEGO INEQUALITY
15760 624 BERNOULLI PROBLEM//BERNOULLI FREE BOUNDARY PROBLEM//CONSTANT RANK THEOREM
16700 575 EXACT MULTIPLICITY//S SHAPED BIFURCATION CURVE//TIME MAP
18217 498 OVERDETERMINED PROBLEM//POMPEIU PROBLEM//OVERDETERMINED PROBLEMS
21860 346 EMDEN FOWLER TYPE EQUATION//NONEXISTENCE OF ENTIRE WEAK SOLUTIONS//GENERALIZED P LAPLACIAN OPERATOR
22675 317 COUPLED SCHRODINGER EQUATIONS//NONLINEAR SCHRODINGER SYSTEM//SCHRODINGER SYSTEM
23984 274 THERMISTOR PROBLEM//CAPACITY SOLUTIONS//TRESCA LAW
24582 257 SMALL ASPECT RATIO LIMIT//FINITE MORSE INDEX SOLUTIONS//LAMFA MATH INFORMAT
25009 245 TRUDINGER MOSER INEQUALITY//MOSER TRUDINGER INEQUALITY//BLOWING UP ANALYSIS

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 CRITICAL SOBOLEV EXPONENT Author keyword 541 94% 1% 195
2 P LAPLACIAN Author keyword 440 54% 3% 569
3 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS Journal 423 18% 10% 2112
4 PX LAPLACIAN Author keyword 356 93% 1% 137
5 MOUNTAIN PASS THEOREM Author keyword 327 72% 1% 259
6 NEHARI MANIFOLD Author keyword 314 90% 1% 136
7 CRITICAL GROWTH Author keyword 305 93% 1% 116
8 VARIABLE EXPONENT Author keyword 293 84% 1% 159
9 VARIATIONAL METHODS Author keyword 267 36% 3% 596
10 ADVANCED NONLINEAR STUDIES Journal 240 56% 1% 292

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 CRITICAL SOBOLEV EXPONENT 541 94% 1% 195 Search CRITICAL+SOBOLEV+EXPONENT Search CRITICAL+SOBOLEV+EXPONENT
2 P LAPLACIAN 440 54% 3% 569 Search P+LAPLACIAN Search P+LAPLACIAN
3 PX LAPLACIAN 356 93% 1% 137 Search PX+LAPLACIAN Search PX+LAPLACIAN
4 MOUNTAIN PASS THEOREM 327 72% 1% 259 Search MOUNTAIN+PASS+THEOREM Search MOUNTAIN+PASS+THEOREM
5 NEHARI MANIFOLD 314 90% 1% 136 Search NEHARI+MANIFOLD Search NEHARI+MANIFOLD
6 CRITICAL GROWTH 305 93% 1% 116 Search CRITICAL+GROWTH Search CRITICAL+GROWTH
7 VARIABLE EXPONENT 293 84% 1% 159 Search VARIABLE+EXPONENT Search VARIABLE+EXPONENT
8 VARIATIONAL METHODS 267 36% 3% 596 Search VARIATIONAL+METHODS Search VARIATIONAL+METHODS
9 SEMILINEAR ELLIPTIC EQUATIONS 235 74% 1% 175 Search SEMILINEAR+ELLIPTIC+EQUATIONS Search SEMILINEAR+ELLIPTIC+EQUATIONS
10 BLOW UP 234 37% 3% 511 Search BLOW+UP Search BLOW+UP

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 POSITIVE SOLUTIONS 1280 51% 9% 1804
2 ELLIPTIC EQUATIONS 1067 54% 7% 1363
3 CRITICAL SOBOLEV EXPONENTS 903 95% 1% 302
4 CRITICAL GROWTH 614 97% 1% 179
5 VARIABLE EXPONENT 591 92% 1% 236
6 EXISTENCE 563 15% 17% 3432
7 R N 560 61% 3% 592
8 CRITICAL SOBOLEV EXPONENT 557 92% 1% 220
9 P LAPLACIAN 475 64% 2% 461
10 SEMICLASSICAL STATES 435 94% 1% 151

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of publ.
in class
1 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 423 18% 10% 2112
2 ADVANCED NONLINEAR STUDIES 240 56% 1% 292
3 JOURNAL OF DIFFERENTIAL EQUATIONS 174 16% 5% 1012
4 CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 168 32% 2% 438
5 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 133 21% 3% 557
6 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 87 33% 1% 221
7 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 86 25% 1% 301
8 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 79 25% 1% 281
9 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 78 17% 2% 425
10 DIFFERENTIAL AND INTEGRAL EQUATIONS 71 28% 1% 212

Reviews



Title Publ. year Cit. Active
references
% act. ref.
to same field
Hylomorphic solitons and charged Q-balls: Existence and stability 2014 4 29 76%
THE ROLE OF CRITICAL EXPONENTS IN BLOWUP THEOREMS 1990 444 54 46%
Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations 2002 92 3 67%
Existence and multiplicity of solutions for a non-periodic Schrodinger equation 2008 10 19 89%
SOME PROBLEMS OF THE QUALITATIVE THEORY OF NON-LINEAR DEGENERATE 2ND-ORDER PARABOLIC EQUATIONS 1987 243 89 88%
Many droplet pattern in the cylindrical phase of diblock copolymer morphology 2007 11 26 92%
Algorithms and visualization for solutions of nonlinear elliptic equations 2000 61 28 54%
Existence and uniqueness of solutions of unilateral problems in Orlicz spaces 2010 2 7 100%
Symmetrization methods in partial differential equations 2000 16 3 100%
Five types of blow-up in a semilinear fourth-order reaction-diffusion equation: an analytic-numerical approach 2009 5 55 67%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 ZHONGBEI 90 88% 0.2% 43
2 SCI ENGN ARCHITECTURE 54 72% 0.2% 42
3 UNIDADE MATEMAT ESTAT 52 76% 0.2% 37
4 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI 41 29% 0.6% 122
5 INGN MATEMAT 33 17% 0.9% 175
6 UNIDADE MATEMAT 31 92% 0.1% 12
7 DIPARTIMENTO PATRIMONIO ARCHITETTON URBANIST 23 72% 0.1% 18
8 DIPARTIMENTO PAU 21 61% 0.1% 23
9 MATEMAT CC 20 52% 0.1% 28
10 DIPARTIMENTO MATEMAT PLICATA U DINI 18 35% 0.2% 42

Related classes at same level (level 2)



Rank Relatedness score Related classes
1 0.0000019824 HOMOCLINIC SOLUTIONS//SECOND ORDER HAMILTONIAN SYSTEMS//KAM ITERATION
2 0.0000015231 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//CARNOT GROUPS//DOUBLING MEASURE
3 0.0000013183 P HARMONIC MAPS//GINZBURG LANDAU FUNCTIONAL//GINZBURG LANDAU EQUATIONS
4 0.0000011231 OPTIMAL TRANSPORT//MONGE AMPERE EQUATION//OPTIMAL TRANSPORTATION
5 0.0000010189 CAHN HILLIARD EQUATION//MEAN CURVATURE FLOW//LOJASIEWICZ SIMON INEQUALITY
6 0.0000010150 POSITIVE SOLUTION//FIXED POINT THEOREMS//MONOTONE ITERATIVE TECHNIQUE
7 0.0000009954 TWO SCALE CONVERGENCE//FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES
8 0.0000007011 NONLINEAR SCHRODINGER EQUATIONS//STRICHARTZ ESTIMATES//I METHOD
9 0.0000006477 ROUGH KERNEL//BMO//MARCINKIEWICZ INTEGRAL
10 0.0000005620 REGULARITY CRITERION//REGULARITY CRITERIA//GLOBAL ATTRACTOR