Cauchy integrals for the p-Laplace equation in planar Lipschitz domains
Journal article, 2014
We construct solutions to p-Laplace type equations in unbounded Lipschitz domains in the plane with prescribed boundary data in appropriate fractional Sobolev spaces. Our approach builds on a Cauchy integral representation formula for solutions.
Cauchy integral
quasi-linear
functional calculus
p-harmonic
p-Laplace
Author
K. Nystrom
Uppsala Universitet
Andreas Rosén
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Annales Academiae Scientiarum Fennicae Mathematica
1239-629X (ISSN)
Vol. 39 2 545-565Subject Categories (SSIF 2011)
Mathematics
DOI
10.5186/aasfm.2014.3939