Cauchy integrals for the p-Laplace equation in planar Lipschitz domains
classification
🧮 math.AP
keywords
cauchydomainslipschitzp-laplacesolutionsapproachappropriateboundary
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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.
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