Concepedia

Patricio Avilés

PA

10

Publications

615

Citations

10

H-Index

1982

Active since

Affiliations

University of Illinois Urbana-Champaign(Current)

Patricio Avilés is an author at University of Illinois Urbana-Champaign specializing in geometry, condensed matter physics, and functional analysis.

Top concepts

GeometryPhysicsEngineeringApplied PhysicsCrystallographyMultiphase FlowIntegral GeometryNumerical AnalysisFunctional AnalysisCondensed Matter Physics

Publications per year

1982–1991

10

Publications

10

Local behavior of solutions of some elliptic equations

Patricio Avilés · Communications in Mathematical Physics · 1987 · 110 citations

Local Behavior, Elliptic Equation, Nonlinear Functional Analysis +1

Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds

Patricio Avilés, Robert McOwen · Journal of Differential Geometry · 1988 · 105 citations · Full text

Courbure Scalaire S~≡−1, Conformal Deformation, Global Geometry +11

Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds

Patricio Avilés, Robert McOwen · Duke Mathematical Journal · 1988 · 95 citations · Full text

A mathematical problem related to the physical theory of liquid crystal configurations

Patricio Avilés, Yoshikazu Giga · Project Euclid (Cornell University) · 1987 · 71 citations

Quantum Liquid, Engineering, Physical Theory +10

Symmetry Theorems Related to Pompeiu's Problem

Patricio Avilés · American Journal of Mathematics · 1986 · 62 citations

Integral Geometry, Symmetry Theorems Related, Geometry +2

Rows per page

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