Monotone Sobolev Functions in Planar Domains: Level Sets and Smooth Approximation

Author:

Ntalampekos DimitriosORCID

Funder

Directorate for Mathematical and Physical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference45 articles.

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2. Aikawa, H., Kilpeläinen, T., Shanmugalingam, N., Zhong, X.: Boundary Harnack principle for $$p$$-harmonic functions in smooth Euclidean domains. Potential Anal. 26(3), 281–301, 2007

3. Ball, J.M.: Singularities and computation of minimizers for variational problems, Foundations of Computational Mathematics, pp. 1–20. London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge, 2001

4. Bates, S.M.: Toward a precise smoothness hypothesis in Sard’s theorem. Proc. Am. Math. Soc. 117(1), 279–283, 1993

5. Bojarski, B., Hajłasz, P., Strzelecki, P.: Sard’s theorem for mappings in Hölder and Sobolev spaces. Manuscr. Math. 118, 383–397, 2005

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