C1, 1 Regularity in semilinear elliptic problems

By H. Shahgholian. 2003

51 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/75d002a576e64bf576755ae0fa977ffe1e3cf2fa

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In Applied Mathematics

1. Alessio Figalli
2. H. Shahgholian
3. Guido De Philippis
4. Max Fathi
5. Dario Trevisan
6. Robert J. McCann
7. N. Fusco
8. Xavier Ros-Oton

In Mathematical Physics

1. Alessio Figalli
2. H. Shahgholian

Citations in the corpus

• A General Class of Free Boundary Problems for Fully Nonlinear Elliptic Equations (2012, background): “, when the operator is the Laplacian, has been completely resolved in [7, 14] for Lipschitz right hand side f and when the equation is satisfied outside the set where u vanishes (this correspond to the obstacle problem): ∆u = fχ{u 6=0} in B1.”