{
"OpenAlex": {
"id": "https://openalex.org/T10194",
"display_name": "Fractional Laplacian Operators",
"description": "This cluster of papers focuses on the theory of fractional Laplacian operators, including topics such as Sobolev spaces, nonlinear equations, regularity theory, variational problems, critical exponents, ground state solutions, elliptic equations, nonlocal operators, and Hamiltonian estimates.",
"keywords": [
"Fractional Laplacian",
"Sobolev Spaces",
"Nonlinear Equations",
"Regularity Theory",
"Variational Problems",
"Critical Exponents",
"Ground State Solutions",
"Elliptic Equations",
"Nonlocal Operators",
"Hamiltonian Estimates"
],
"ids": {
"openalex": "https://openalex.org/T10194",
"wikipedia": "https://en.wikipedia.org/wiki/Fractional_Laplacian"
},
"subfield": {
"id": "https://openalex.org/subfields/2604",
"display_name": "Applied Mathematics"
},
"field": {
"id": "https://openalex.org/fields/26",
"display_name": "Mathematics"
},
"domain": {
"id": "https://openalex.org/domains/3",
"display_name": "Physical Sciences"
},
"siblings": [
{
"id": "https://openalex.org/T10884",
"display_name": "Complex Analysis and Operator Theory"
},
{
"id": "https://openalex.org/T12812",
"display_name": "Complex Differential Equations and Meromorphic Functions"
},
{
"id": "https://openalex.org/T11210",
"display_name": "Fractional Fourier Transform Analysis"
},
{
"id": "https://openalex.org/T11049",
"display_name": "Harmonic Analysis and Operator Theory"
},
{
"id": "https://openalex.org/T12522",
"display_name": "Improving Mathematical Literacy and Problem-Solving Skills"
},
{
"id": "https://openalex.org/T10940",
"display_name": "Mathematical Modeling of Fluid Dynamics"
},
{
"id": "https://openalex.org/T11012",
"display_name": "Mathematical Topics in Collisional Kinetic Theory"
},
{
"id": "https://openalex.org/T11564",
"display_name": "Matrix Inequalities and Geometric Means"
},
{
"id": "https://openalex.org/T12589",
"display_name": "Nonlocal Partial Differential Equations and Boundary Value Problems"
},
{
"id": "https://openalex.org/T10229",
"display_name": "Optimal Transport in Geometry and Analysis"
},
{
"id": "https://openalex.org/T11191",
"display_name": "Orthogonal Polynomials"
},
{
"id": "https://openalex.org/T12037",
"display_name": "Quaternionic Analysis and Applications"
},
{
"id": "https://openalex.org/T11830",
"display_name": "Spatial Point Patterns in Science"
},
{
"id": "https://openalex.org/T12508",
"display_name": "Stability of Functional Equations in Mathematical Analysis"
},
{
"id": "https://openalex.org/T10541",
"display_name": "Theory and Applications of Fractional Differential Equations"
},
{
"id": "https://openalex.org/T13487",
"display_name": "Total Least Squares Methods and Applications"
}
],
"works_count": 41501,
"cited_by_count": 576983,
"updated_date": "2024-08-26T05:20:44.550428",
"created_date": "2024-01-23"
}
}