INIS
laplacian
100%
solutions
96%
lie groups
68%
space
65%
equations
60%
heat
58%
norm
39%
differential equations
38%
geometry
38%
euclidean space
33%
eigenvalues
31%
nonlinear problems
31%
applications
29%
anisotropy
26%
boundary conditions
26%
vector fields
26%
boundary-value problems
24%
dirichlet problem
23%
volume
19%
range
17%
polynomials
16%
symmetry
16%
uncertainty principle
16%
one-dimensional calculations
15%
stability
14%
cauchy problem
14%
differential operators
12%
potentials
12%
green function
12%
weight
12%
cylinders
11%
lyapunov method
10%
comparative evaluations
10%
approximations
10%
kernels
9%
time dependence
9%
coordinates
9%
multivariate analysis
7%
eigenfunctions
7%
tools
7%
data
7%
variational methods
6%
wave equations
6%
integro-differential equations
6%
layers
6%
speed
6%
mathematics
6%
metrics
6%
diffusion equations
5%
accuracy
5%
Mathematics
Type Inequality
78%
Laplace Operator
72%
Hardy Inequality
61%
Lie Group
56%
Variable Coefficient
28%
Eigenvalue
28%
Heisenberg Group
26%
Fractional Differential Equations
26%
Vector Field
23%
Boundary Condition
21%
Isoperimetric Inequality
21%
Circular Cylinder
15%
Differential Equation
14%
Boundary Value Problems
13%
Maximizer
13%
Rayleigh
12%
Polynomials Method
12%
Green Function
12%
Heat Equation
12%
Constant Coefficient
12%
Differential Operator
12%
Remainder Term
11%
Infinite Series
10%
Integral Operator
10%
Potential Theory
10%
Comparison Principle
10%
Nilpotent
10%
Half Space
9%
Euclidean Space
9%
Green's Identity
9%
Polynomial
9%
Leffler Function
9%
Abelian Case
9%
Boundedness
8%
Initial-Boundary Value Problem
8%
Fractional Integral
8%
Euler Operator
8%
Fundamental Solution
8%
Fractional Order
7%
Illustrative Example
7%
Necessary Condition
7%
Fractional Laplacian
7%
Explicit Solution
7%
Integro-Differential Operator
6%
Embedding Theorem
6%
Weak Solution
6%
Finite Time
6%
Wave Equation
6%
Lp Space
6%
Nonlinearities
6%
Keyphrases
Hardy Inequality
70%
Homogeneous Groups
48%
Stratified Group
29%
Rellich Inequality
25%
Heisenberg Group
22%
Stratified Lie Group
19%
Isoperimetric Inequality
18%
P-sub-Laplacian
17%
Homogeneous Lie Group
17%
Sub-Laplacian
16%
Fractional Differential Equations
14%
Differential Equations with Variable Coefficients
14%
Sharp Remainder
13%
Caffarelli-Kohn-Nirenberg Inequality
12%
Constant Coefficients
12%
Fractional Laplacian
11%
Volume Potential
11%
Vector Field
11%
First Eigenvalue
11%
Potential Operator
10%
Heat Operator
10%
Poincaré Inequality
10%
Blow-up Result
10%
Sobolev Type Inequalities
10%
Geometric Hardy Inequality
10%
Riesz Potential
10%
Rellich
9%
Quasi-norm
9%
Infinite Series
9%
Lyapunov Inequality
9%
Green Identity
9%
Heat Polynomials Method
9%
Eigenvalues
9%
Dirichlet
9%
Subelliptic
8%
Uncertainty Principle
8%
Time-fractional
7%
Cauchy Problem
7%
Initial-boundary Value Problem
7%
Simple Proof
7%
Best Constant
7%
Nilpotent Lie Group
7%
Newtonian Potential
7%
S-numbers
7%
Fractional Derivative
6%
Euclidean Space
6%
Sharp Constants
6%
Polyharmonic Equation
6%
Logarithmic Nonlinearity
6%
Rockland Operator
6%
