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math.AP2013
Harnack estimates for degenerate parabolic equations modeled on the subelliptic p-Laplacian
Benny Avelin, Luca Capogna, Giovanna Citti +1
We establish a Harnack inequality for a class of quasi-linear PDE modeled on the prototype {equation*} \partial_tu= -\sum_{i=1}^{m}X_i^\ast (|\X u|^{p-2} X_i u){equation*} where $p…
math.AP2013
Cauchy integrals for the p-Laplace equation in planar Lipschitz domains
Kaj Nyström, Andreas Rosén
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…