2013

Andersson, John (2013) Optimal Regularity and free boundary regularity for the Signorini problem. St. Petersburg Mathematical Journal, Volume 24 (Number 3). pp. 371-386. doi:10.1090/S1061-0022-2013-01244-1 ISSN 1871-2509.

Andersson, John, Lindgren, E. and Shahgholian, H. (2013) Optimal regularity for the no-sign obstacle problem. Communications in Pure and Applied Mathematics, Volume 66 (Number 2). pp. 245-262. doi:10.1002/cpa.21434 ISSN 1097-0312.

Andersson, John Erik, Shahgholian, Henrik and Weiss, Georg (2013) The singular set of higher dimensional unstable obstacle type problems. Rendiconti Lincei - Matematica e Applicazioni, Volume 24 (Number 1). pp. 123-146. doi:10.4171/RLM/648 ISSN 1120-6330.

2012

Andersson, John Erik, Shahgholian, Henrik and Weiss, Georg S. (2012) Double obstacle problems with obstacles given by non-C 2 Hamilton–Jacobi equations. Archive for Rational Mechanics and Analysis, Vol.206 (No.3). pp. 779-819. doi:10.1007/s00205-012-0541-4 ISSN 0003-9527.

Andersson, John and Mikayelyan, H. (2012) The zero level set for a certain weak solution, with applications to the Bellman equations. Transactions of the American Mathematical Society, 365 . pp. 2297-2316. doi:10.1090/S0002-9947-2012-05593-0 ISSN 0002-9947.

Andersson, John Erik, Shahgholian, Henrik and Weiss, Georg S. (2012) On the singularities of a free boundary through Fourier expansion. Inventiones Mathematicae, Vol.187 (No.3). pp. 535-587. doi:10.1007/s00222-011-0336-5 ISSN 0020-9910.

Andersson, John and Mikayelyan, Hayk (2012) On the non-tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem. Mathematische Annalen, Vol.352 (No.2). pp. 357-372. doi:10.1007/s00208-011-0647-2 ISSN 0025-5831.

2011

Andersson, John and Mikayelyan, H. (2011) C1, regularity for solutions to the p-harmonic thin obstacle problem. International Mathematics Research Notices, Vol.2011 (No.1). pp. 119-134. doi:10.1093/imrn/rnq061 ISSN 1073-7928.

2010

Andersson, John, Shahgholian, Henrik and Weiss, Georg S. (2010) Uniform regularity close to cross singularities in an unstable free boundary problem. Communications in Mathematical Physics, Vol.296 (No.1). pp. 251-270. doi:10.1007/s00220-010-1015-x ISSN 0010-3616.

Andersson, J. (2010) Boundary regularity for a parabolic obstacle type problem. Interfaces and Free Boundaries, Vol.12 (No.3). pp. 279-291. doi:10.4171/IFB/235 ISSN 1463-9963.

Andersson, John, Shahgholian, H. and Weiss, G. S. (2010) Regularity below the C^2 threshold for a torsion problem, based on regularity for Hamilton-Jacobi equations. In: Arkhipova, Arina A. and Nazarov, Alexander I, (eds.) Nonlinear partial differential equations and related topics : dedicated to Nina N. Uraltseva. American Mathematical Society translations, Vol.229 . Providence, R.I. : American Mathematical Society, pp. 1-14. ISBN 9780821849972

2009

Andersson, John and Weiss, Georg S. (2009) A parabolic free boundary problem with Bernoulli type condition on the free boundary. Journal für die reine und angewandte Mathematik (Crelles Journal), Vol.2009 (No.627). pp. 213-235. doi:10.1515/CRELLE.2009.016 ISSN 0075-4102.