6533b7cefe1ef96bd1256ea9

RESEARCH PRODUCT

Rotationally symmetric p -harmonic maps fromD2toS2

Salvador MollRazvan Gabriel IagarRazvan Gabriel Iagar

subject

Unit spheresymbols.namesakeClass (set theory)Applied MathematicsDirichlet boundary conditionMathematical analysissymbolsHarmonic mapBoundary (topology)Unit diskAnalysisMathematicsEnergy functional

description

We consider rotationally symmetric p-harmonic maps from the unit disk D2⊂R2 to the unit sphere S2⊂R3, subject to Dirichlet boundary conditions and with 1<p<∞. We show that the associated energy functional admits a unique minimizer which is of class C∞ in the interior and C1 up to the boundary. We also show that there exist infinitely many global solutions to the associated Euler–Lagrange equation and we completely characterize them.

yearjournalcountryeditionlanguage
2013-05-01Journal of Differential Equations
https://doi.org/10.1016/j.jde.2013.02.003