Isotropic p-harmonic systems in 2D Jacobian estimates and univalent solutions

6533b7d4fe1ef96bd1261fdb

RESEARCH PRODUCT

Isotropic p-harmonic systems in 2D Jacobian estimates and univalent solutions

Jani Onninen Jani Onninen Tadeusz Iwaniec Aleksis Koski

subject

Elliptic systems General Mathematics Jacobian determinants 010102 general mathematics Mathematical analysis Isotropy ta111 nonlinear systems of PDEs energy-minimal deformations Dirichlet's energy p-harmonic mappings Invariant (physics)01 natural sciences variational integrals 010101 applied mathematics Nonlinear system symbols.namesake Jacobian matrix and determinant symbols Uniqueness 0101 mathematics Nonlinear elasticity Mathematics

description

The core result of this paper is an inequality (rather tricky) for the Jacobian determinant of solutions of nonlinear elliptic systems in the plane. The model case is the isotropic (rotationally invariant) p-harmonic system ...

year	journal	country	edition	language
2016-01-01	Revista Matemática Iberoamericana

10.4171/rmi/881 http://juuli.fi/Record/0278850116

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