Concepedia

Luca Capogna

LC

25

Publications

1.3K

Citations

20

H-Index

1993

Active since

Affiliations

University of Arkansas at Fayetteville(Current)

Purdue University West Lafayette

University of Bologna

Courant Institute of Mathematical Sciences

Worcester Polytechnic Institute

Luca Capogna is an author at University of Arkansas at Fayetteville specializing in functional analysis, engineering, and geometry.

Top concepts

Functional AnalysisEngineeringGeometrySpectral TheoryIntegral GeometryGeometric Group TheoryEducationQuantum Field TheoryVariational InequalitiesData Science

Publications per year

1993–2021

25

Publications

25

An embedding theorem and the harnack inequality for nonlinear subelliptic equations

Luca Capogna, Donatella Danielli, Nicola Garofalo · Communications in Partial Differential Equations · 1993 · 208 citations

Nonlinear Subelliptic Equations, Grant 9104023-Dms, Global Analysis +7

The geometric Sobolev embedding for vector fields and the isoperimetric inequality

Luca Capogna, Donatella Danielli, Nicola Garofalo · Communications in Analysis and Geometry · 1994 · 147 citations · Full text

Integral Geometry, Engineering, Geometric Partial Differential Equation +8

Regularity of quasi-linear equations in the Heisenberg group

Luca Capogna · Communications on Pure and Applied Mathematics · 1997 · 129 citations

Elliptic Equation, Lie Group, Quasi-linear Equations +8

Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations

Luca Capogna, Donatella Danielli, Nicola Garofalo · American Journal of Mathematics · 1996 · 117 citations

Monge-ampere Equation, Elliptic Equation, Riemann-hilbert Problem +12

Regularity for quasilinear equations and $1-$ quasiconformal maps in Carnot groups

Luca Capogna · Mathematische Annalen · 1999 · 83 citations

Geometric Group Theory, Lie Group, Quasilinear Equations +4

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