Singular Solution to Special Lagrangian Equations

By Nikolai Nadirashvili, S. Vladuts. 2009

58 citations recorded by the source corpus.

We prove the existence of non-smooth solutions to Special Lagrangian Equations in the non-convex case.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/9c0873960dc3fcec14143b2dde22db36393c3cbd

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In Applied Mathematics

1. Dake Wang
2. Yu Yuan
3. Micah W. Warren
4. Sebastien Picard
5. Tristan C. Collins
6. Xuan Wu
7. Jingyi Chen

In Computational Theory and Mathematics

1. Dake Wang
2. Yu Yuan
3. Micah W. Warren

Citations in the corpus

• Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions (2011, methodology): “ 2, Amer. Math. Soc., Providence, RI, 1986. [MS] Michael, James H. and Simon, Leon M., Sobolev and mean-value inequalities on generalized submanifolds of Rn. Comm. Pure Appl. Math. 26(1973), 361–379. [NV] Nadirashvili, Nicolai and Vl˘adu¸t, Serge, Singular solution to Special Lagrangian Equations. A”